tag:blogger.com,1999:blog-52959112933657645412024-03-14T03:33:59.422-07:00FRACCIONES: SUMA, RESTA, MULTIPLICACION, DIVISION, POTENCIACION Y RADICACION - NÚMEROS RACIONALESFracciones: suma, resta, multiplicación y división de fracciones homogéneas y heterogéneas, potenciación y radicaciónMatemática, teoría, ejemplos y ejercicioshttp://www.blogger.com/profile/05405279932256760885noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-5295911293365764541.post-89787428409085043622019-05-14T07:18:00.000-07:002019-05-14T07:18:14.998-07:00POTENCIACION Y RADICACION DE NUMEROS RACIONALES O FRACCIONES<b><span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Blog de fracciones y operaciones: </span><a href="https://goo.gl/bzyeMX" style="font-family: arial, helvetica, sans-serif;" target="_blank">https://goo.gl/bzyeMX</a></b><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b><span style="color: red;">Fracciones y operaciones en YouTube: </span><a href="https://goo.gl/tF1WNZ"><span style="color: blue;">https://goo.gl/tF1WNZ</span></a></b></span><br />
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>Vídeos de operaciones con números racionales</b></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>1) Suma resta de números racionales: <a href="https://youtu.be/YLJ17a3YMUY">https://youtu.be/YLJ17a3YMUY</a><o:p></o:p></b></span></div>
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<span style="color: red; font-family: arial, helvetica, sans-serif;"><b>2) Multiplicación división de números racionales: <a href="https://youtu.be/KQpVa3sBff4">https://youtu.be/KQpVa3sBff4</a></b></span></div>
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<span style="color: red; font-family: arial, helvetica, sans-serif;"><b>3) Potenciación radicación de números racionales: <a href="https://youtu.be/SrJMbz5DlNk">https://youtu.be/SrJMbz5DlNk</a></b></span><br />
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL CONJUNTO DE LOS NÚMEROS RACIONALES</span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">1) </span></span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA, COMPARACIÓN Y ORDEN - <a href="https://youtu.be/qXrga23ckpQ" target="_blank">Vídeo</a></span></span></h2>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> <u>REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA<o:p></o:p></u></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> A todo número racional le corresponde un punto en la recta numérica entera, recíprocamente, a todo punto de la recta numérica entera le corresponde un número racional.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> La recta numérica para los números racionales<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">COMPARACIÓN DE NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">LEY DE TRICOTOMIA<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Dados dos números racionales a y b se cumple solamente una de las siguientes afirmaciones:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">a < b ; a > b ; a = b<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Si dos números se encuentran ubicados en la recta numérica, es mayor el número que se encuentra a la derecha y es menor el número que se encuentra a la izquierda.<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">ORDEN DE LOS NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Al ordenar números racionales en forma ascendente o creciente se realiza del menor número al mayor<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Al ordenar números racionales en forma descendente o decreciente se realiza del mayor número al menor<o:p></o:p></span><br />
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"><o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 10pt;"><br /></span><span style="font-family: "arial" , sans-serif; font-size: 10pt;">1) Utilizando una cinta métrica, mide las estaturas de los integrantes de tu familia y gráfica en el plano cartesiano</span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Completa la siguiente tabla:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Qué aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo podría mejorar?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Para qué me sirve lo que aprendí?<o:p></o:p></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">2) </span><span lang="ES" style="color: red; font-size: 11pt;">ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/fCq5dlDpjRM" target="_blank">Vídeo 1</a> - <a href="https://youtu.be/UxIzokZz5SA" target="_blank">Vídeo 2</a><o:p></o:p></span></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif";"> <b>TEOREMA DE ADICIÓN DE NÚMEROS RACIONALES:<o:p></o:p></b></span><br />
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<span lang="ES" style="background-color: yellow; font-family: "arial" , "sans-serif"; font-size: 11pt;"><span style="position: relative; top: 12pt;"></span></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE SUSTRACCIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"></span></b><b><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt; font-weight: normal;">Resuelve aplicando el teorema correspondiente:<o:p></o:p></span></h2>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">3) </span><span lang="ES" style="color: red; font-size: 11pt;">PROBLEMAS DE ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/EqwXNUZJhWc" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<b><u><span lang="ES-TRAD" style="color: #538135; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL ARTE DE RESOLVER PROBLEMAS DE POLYA - <a href="https://youtu.be/P50Py3L8x8o" target="_blank">Vídeo</a><o:p></o:p></span></u></b></div>
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<b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">George Polya</span></b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">, considera 4 etapas en el proceso de resolución de problemas.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">PRIMERO: Comprenda el problema.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Para comprender un problema será necesario responder estas preguntas básicas:<o:p></o:p></span></div>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la incógnita?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuáles son los datos?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la condición?<o:p></o:p></span></li>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">SEGUNDO: Conciba un plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">(Operación matemática – condición – incógnita)<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Establece la relación entre los datos, la condición y la incógnita.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Al elaborar el plan no se escriben los números o cantidades (datos), sólo excepcionalmente se pueden escribir los datos<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TERCERO: Ejecute el plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Ejecutar un plan consiste en implementarlo y desarrollar lo previsto en la elaboración del plan.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Es decir, realizar la operación prevista en el plan.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">CUARTO: Examine la solución obtenida.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Realiza una revisión del proceso (pasos: 1, 2 y 3) y escribe el resultado.<o:p></o:p></span><br />
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">4) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/HmF9YBHpd30" target="_blank">Vídeo 1 </a> - <a href="https://youtu.be/QyqXbM80FRU" target="_blank">Vídeo 2</a></span><o:p></o:p></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><b><span lang="ES" style="font-family: "arial" , "sans-serif";">TEOREMA DE MULTIPLICACIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE DIVISIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve aplicando los teoremas correspondientes:<o:p></o:p></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="34" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span></div>
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">5) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">PROBLEMAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES</span><o:p></o:p></span></h2>
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<span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></div>
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<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><br /></span></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">POTENCIACIÓN CON EXPONENTES ENTEROS<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">6) </span><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">POTENCIACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/yvFlXGzYhyo" target="_blank">Vídeo</a></span></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiR_zInpn_frGtHbcrCTgDs9cqI-64sVkSOzTxO3V9_qquHCBR3OH5nxRUW9evnlFYAWw2OhoH5b-vI2HvzgFKZSsgwQb5XYWh9-vMQ0J870XY4aHDJDgOTCAqOX4RO8CboGhvkwQ6BR6Qo/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiR_zInpn_frGtHbcrCTgDs9cqI-64sVkSOzTxO3V9_qquHCBR3OH5nxRUW9evnlFYAWw2OhoH5b-vI2HvzgFKZSsgwQb5XYWh9-vMQ0J870XY4aHDJDgOTCAqOX4RO8CboGhvkwQ6BR6Qo/s1600/Sin+t%25C3%25ADtulo.png" /></a></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">El exponente 3 nos indica el número de veces que debe multiplicarse la base dos.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">O sea 2 x 2 x 2, esto es igual ocho<o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Ejemplo:</span></b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve: 2 <sup>3</sup><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Solución:<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">2 <sup>3</sup> = 2 x 2 x 2 = 8<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TEOREMAS<o:p></o:p></span></u></b><br />
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<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">7) </span><span lang="ES" style="color: red; font-size: 11pt;">RADICACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/j7HJBJKgf-A" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">PROPIEDADES<o:p></o:p></span></u></b><br />
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<b><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">8) <u>OPERACIONES COMBINADAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN, DIVISIÓN, POTENCIACIÓN Y RADICACIÓN DE NÚMEROS RACIONALES<o:p></o:p></u></span></b><br />
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Matemática, teoría, ejemplos y ejercicioshttp://www.blogger.com/profile/05405279932256760885noreply@blogger.com0tag:blogger.com,1999:blog-5295911293365764541.post-48254482909523087152019-05-14T07:17:00.000-07:002019-05-14T07:17:10.072-07:00MULTIPLICACION Y DIVISION DE NUMEROS RACIONALES O FRACCIONES<b><span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Blog de fracciones y operaciones: </span><a href="https://goo.gl/bzyeMX" style="font-family: arial, helvetica, sans-serif;" target="_blank">https://goo.gl/bzyeMX</a></b><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b><span style="color: red;">Fracciones y operaciones en YouTube: </span><a href="https://goo.gl/tF1WNZ"><span style="color: blue;">https://goo.gl/tF1WNZ</span></a></b></span><br />
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>Vídeos de operaciones con números racionales</b></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>1) Suma resta de números racionales: <a href="https://youtu.be/YLJ17a3YMUY">https://youtu.be/YLJ17a3YMUY</a><o:p></o:p></b></span></div>
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<span style="color: red; font-family: arial, helvetica, sans-serif;"><b>2) Multiplicación división de números racionales: <a href="https://youtu.be/KQpVa3sBff4">https://youtu.be/KQpVa3sBff4</a></b></span></div>
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<span style="color: red; font-family: arial, helvetica, sans-serif;"><b>3) Potenciación radicación de números racionales: <a href="https://youtu.be/SrJMbz5DlNk">https://youtu.be/SrJMbz5DlNk</a></b></span><br />
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL CONJUNTO DE LOS NÚMEROS RACIONALES</span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">1) </span></span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA, COMPARACIÓN Y ORDEN - <a href="https://youtu.be/qXrga23ckpQ" target="_blank">Vídeo</a></span></span></h2>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> <u>REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA<o:p></o:p></u></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> A todo número racional le corresponde un punto en la recta numérica entera, recíprocamente, a todo punto de la recta numérica entera le corresponde un número racional.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> La recta numérica para los números racionales<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">COMPARACIÓN DE NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">LEY DE TRICOTOMIA<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Dados dos números racionales a y b se cumple solamente una de las siguientes afirmaciones:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">a < b ; a > b ; a = b<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Si dos números se encuentran ubicados en la recta numérica, es mayor el número que se encuentra a la derecha y es menor el número que se encuentra a la izquierda.<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">ORDEN DE LOS NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Al ordenar números racionales en forma ascendente o creciente se realiza del menor número al mayor<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Al ordenar números racionales en forma descendente o decreciente se realiza del mayor número al menor<o:p></o:p></span><br />
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"><o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 10pt;"><br /></span><span style="font-family: "arial" , sans-serif; font-size: 10pt;">1) Utilizando una cinta métrica, mide las estaturas de los integrantes de tu familia y gráfica en el plano cartesiano</span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Completa la siguiente tabla:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Qué aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo podría mejorar?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Para qué me sirve lo que aprendí?<o:p></o:p></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">2) </span><span lang="ES" style="color: red; font-size: 11pt;">ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/fCq5dlDpjRM" target="_blank">Vídeo 1</a> - <a href="https://youtu.be/UxIzokZz5SA" target="_blank">Vídeo 2</a><o:p></o:p></span></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif";"> <b>TEOREMA DE ADICIÓN DE NÚMEROS RACIONALES:<o:p></o:p></b></span><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE SUSTRACCIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"></span></b><b><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt; font-weight: normal;">Resuelve aplicando el teorema correspondiente:<o:p></o:p></span></h2>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">3) </span><span lang="ES" style="color: red; font-size: 11pt;">PROBLEMAS DE ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/EqwXNUZJhWc" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<b><u><span lang="ES-TRAD" style="color: #538135; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL ARTE DE RESOLVER PROBLEMAS DE POLYA - <a href="https://youtu.be/P50Py3L8x8o" target="_blank">Vídeo</a><o:p></o:p></span></u></b></div>
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<b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">George Polya</span></b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">, considera 4 etapas en el proceso de resolución de problemas.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">PRIMERO: Comprenda el problema.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Para comprender un problema será necesario responder estas preguntas básicas:<o:p></o:p></span></div>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la incógnita?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuáles son los datos?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la condición?<o:p></o:p></span></li>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">SEGUNDO: Conciba un plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">(Operación matemática – condición – incógnita)<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Establece la relación entre los datos, la condición y la incógnita.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Al elaborar el plan no se escriben los números o cantidades (datos), sólo excepcionalmente se pueden escribir los datos<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TERCERO: Ejecute el plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Ejecutar un plan consiste en implementarlo y desarrollar lo previsto en la elaboración del plan.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">CUARTO: Examine la solución obtenida.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Realiza una revisión del proceso (pasos: 1, 2 y 3) y escribe el resultado.<o:p></o:p></span><br />
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">4) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/HmF9YBHpd30" target="_blank">Vídeo 1 </a> - <a href="https://youtu.be/QyqXbM80FRU" target="_blank">Vídeo 2</a></span><o:p></o:p></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><b><span lang="ES" style="font-family: "arial" , "sans-serif";">TEOREMA DE MULTIPLICACIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE DIVISIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggc5npFsjvC5_sGDaqeWg2f_-iYzXCDsHmdo7pxLK4UbhyphenhyphenEXM_6e-zT8jW2LMHpG5WMI5XomSdz4QwePJ8DmFB7GT1wR1mN6yQwAZXrXDg_0W77pLRI3P6lGS18-x_tQyYcB2MQKn0GPFg/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggc5npFsjvC5_sGDaqeWg2f_-iYzXCDsHmdo7pxLK4UbhyphenhyphenEXM_6e-zT8jW2LMHpG5WMI5XomSdz4QwePJ8DmFB7GT1wR1mN6yQwAZXrXDg_0W77pLRI3P6lGS18-x_tQyYcB2MQKn0GPFg/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0pdjmD_T4G0taQ8tZ-io30f8RwoRf-0AedW3QUWTnb5aDMrjjbSRp6EtPknkWZDz4f-dqKgaMrwZfby0Ig8OO6M8BB9SL5-Kb_NidrbRR7DcjigLmZDabNtvb5ziTndQgwWEFvUPITHqq/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0pdjmD_T4G0taQ8tZ-io30f8RwoRf-0AedW3QUWTnb5aDMrjjbSRp6EtPknkWZDz4f-dqKgaMrwZfby0Ig8OO6M8BB9SL5-Kb_NidrbRR7DcjigLmZDabNtvb5ziTndQgwWEFvUPITHqq/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve aplicando los teoremas correspondientes:<o:p></o:p></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="34" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">5) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">PROBLEMAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES</span><o:p></o:p></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbAOJJET39_C9wwPK-5xjkg7lRKs_IeR44zFeaPgMr_6lmDSyT4LtaXl7up4HfPRooS1YFLHsJextp1XNkwjL8s3QeFNSe6fgP39HMvXD-sFXsdFnwIRjoJ2IfNXt0ujfpWyZ6vx4gtvto/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbAOJJET39_C9wwPK-5xjkg7lRKs_IeR44zFeaPgMr_6lmDSyT4LtaXl7up4HfPRooS1YFLHsJextp1XNkwjL8s3QeFNSe6fgP39HMvXD-sFXsdFnwIRjoJ2IfNXt0ujfpWyZ6vx4gtvto/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw2M0LWOYvWENl-M322FkBTweCKb4Ds24aisB7TfZcu6N0rvfv3q68mvWsMe5cHET7kuUcFyIDw1PiOkgoxKJ9XRc1ZCdLbbSPp0brMobFlLvZeCiJdDJ_36Nm2WR6Q7laWtM42nFl1pWg/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="316" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw2M0LWOYvWENl-M322FkBTweCKb4Ds24aisB7TfZcu6N0rvfv3q68mvWsMe5cHET7kuUcFyIDw1PiOkgoxKJ9XRc1ZCdLbbSPp0brMobFlLvZeCiJdDJ_36Nm2WR6Q7laWtM42nFl1pWg/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><br /></span></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">POTENCIACIÓN CON EXPONENTES ENTEROS<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">6) </span><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">POTENCIACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/yvFlXGzYhyo" target="_blank">Vídeo</a></span></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiR_zInpn_frGtHbcrCTgDs9cqI-64sVkSOzTxO3V9_qquHCBR3OH5nxRUW9evnlFYAWw2OhoH5b-vI2HvzgFKZSsgwQb5XYWh9-vMQ0J870XY4aHDJDgOTCAqOX4RO8CboGhvkwQ6BR6Qo/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiR_zInpn_frGtHbcrCTgDs9cqI-64sVkSOzTxO3V9_qquHCBR3OH5nxRUW9evnlFYAWw2OhoH5b-vI2HvzgFKZSsgwQb5XYWh9-vMQ0J870XY4aHDJDgOTCAqOX4RO8CboGhvkwQ6BR6Qo/s1600/Sin+t%25C3%25ADtulo.png" /></a></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">El exponente 3 nos indica el número de veces que debe multiplicarse la base dos.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">O sea 2 x 2 x 2, esto es igual ocho<o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Ejemplo:</span></b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve: 2 <sup>3</sup><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Solución:<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">2 <sup>3</sup> = 2 x 2 x 2 = 8<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TEOREMAS<o:p></o:p></span></u></b><br />
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">PROPIEDADES<o:p></o:p></span></u></b><br />
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<b><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">8) <u>OPERACIONES COMBINADAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN, DIVISIÓN, POTENCIACIÓN Y RADICACIÓN DE NÚMEROS RACIONALES<o:p></o:p></u></span></b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEii77WPbbQxKgmhDHtgxHtS1FkZL2_wLO5XWZJsDzeGiz68gZhbHeJX7Nu-oWGU9Z1memo5V4QBqegV9LD8i9wrIGfm_D5RsjCKgTT2bkTCxkwUp0pCkbWaH8mH8u8z2wFH_NCu5w6CnJTV/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEii77WPbbQxKgmhDHtgxHtS1FkZL2_wLO5XWZJsDzeGiz68gZhbHeJX7Nu-oWGU9Z1memo5V4QBqegV9LD8i9wrIGfm_D5RsjCKgTT2bkTCxkwUp0pCkbWaH8mH8u8z2wFH_NCu5w6CnJTV/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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Matemática, teoría, ejemplos y ejercicioshttp://www.blogger.com/profile/05405279932256760885noreply@blogger.com0tag:blogger.com,1999:blog-5295911293365764541.post-31400845775473827932019-05-14T07:15:00.000-07:002019-05-14T07:15:37.096-07:00ADICION Y SUSTRACCION DE NUMEROS RACIONALES O FRACCIONES<b><span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Blog de fracciones y operaciones: </span><a href="https://goo.gl/bzyeMX" style="font-family: arial, helvetica, sans-serif;" target="_blank">https://goo.gl/bzyeMX</a></b><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b><span style="color: red;">Fracciones y operaciones en YouTube: </span><a href="https://goo.gl/tF1WNZ"><span style="color: blue;">https://goo.gl/tF1WNZ</span></a></b></span><br />
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>Vídeos de operaciones con números racionales</b></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>1) Suma resta de números racionales: <a href="https://youtu.be/YLJ17a3YMUY">https://youtu.be/YLJ17a3YMUY</a><o:p></o:p></b></span></div>
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<span style="color: red; font-family: arial, helvetica, sans-serif;"><b>2) Multiplicación división de números racionales: <a href="https://youtu.be/KQpVa3sBff4">https://youtu.be/KQpVa3sBff4</a></b></span></div>
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<span style="color: red; font-family: arial, helvetica, sans-serif;"><b>3) Potenciación radicación de números racionales: <a href="https://youtu.be/SrJMbz5DlNk">https://youtu.be/SrJMbz5DlNk</a></b></span><br />
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL CONJUNTO DE LOS NÚMEROS RACIONALES</span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">1) </span></span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA, COMPARACIÓN Y ORDEN - <a href="https://youtu.be/qXrga23ckpQ" target="_blank">Vídeo</a></span></span></h2>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> <u>REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA<o:p></o:p></u></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> A todo número racional le corresponde un punto en la recta numérica entera, recíprocamente, a todo punto de la recta numérica entera le corresponde un número racional.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> La recta numérica para los números racionales<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">COMPARACIÓN DE NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">LEY DE TRICOTOMIA<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Dados dos números racionales a y b se cumple solamente una de las siguientes afirmaciones:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">a < b ; a > b ; a = b<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Si dos números se encuentran ubicados en la recta numérica, es mayor el número que se encuentra a la derecha y es menor el número que se encuentra a la izquierda.<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">ORDEN DE LOS NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Al ordenar números racionales en forma ascendente o creciente se realiza del menor número al mayor<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Al ordenar números racionales en forma descendente o decreciente se realiza del mayor número al menor<o:p></o:p></span><br />
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"><o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 10pt;"><br /></span><span style="font-family: "arial" , sans-serif; font-size: 10pt;">1) Utilizando una cinta métrica, mide las estaturas de los integrantes de tu familia y gráfica en el plano cartesiano</span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Completa la siguiente tabla:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Qué aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo podría mejorar?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Para qué me sirve lo que aprendí?<o:p></o:p></span></div>
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<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">2) </span><span lang="ES" style="color: red; font-size: 11pt;">ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/fCq5dlDpjRM" target="_blank">Vídeo 1</a> - <a href="https://youtu.be/UxIzokZz5SA" target="_blank">Vídeo 2</a><o:p></o:p></span></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif";"> <b>TEOREMA DE ADICIÓN DE NÚMEROS RACIONALES:<o:p></o:p></b></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4snGf1shHFcWr6hu4t5JwKvZ4a0pS_qLm_ryFYxgJp4_VfxA9lWmCYJ31GRgGgYycui8CqkNCZMDUZSOO5aQcPMaP5xIAvmFrPFj49mXmKxqmaGf57g7Yv4GW2M3g98EFHrpTx9Rru-nS/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4snGf1shHFcWr6hu4t5JwKvZ4a0pS_qLm_ryFYxgJp4_VfxA9lWmCYJ31GRgGgYycui8CqkNCZMDUZSOO5aQcPMaP5xIAvmFrPFj49mXmKxqmaGf57g7Yv4GW2M3g98EFHrpTx9Rru-nS/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span lang="ES" style="background-color: yellow; font-family: "arial" , "sans-serif"; font-size: 11pt;"><span style="position: relative; top: 12pt;"></span></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE SUSTRACCIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"></span></b><b><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt; font-weight: normal;">Resuelve aplicando el teorema correspondiente:<o:p></o:p></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKv2D3Jwiyfv-V7YRWl084lqpyv3oqK56Bwlx-EMyH5IH20W7vSNG0WCYB8WLl8Ixvogn-bZRjDMAEc5RW0hV5XuZ8JydIxAhQy9eqQIojIfahNfp0tB8NXsoivlnR3BKGm1qBRjejWpt-/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKv2D3Jwiyfv-V7YRWl084lqpyv3oqK56Bwlx-EMyH5IH20W7vSNG0WCYB8WLl8Ixvogn-bZRjDMAEc5RW0hV5XuZ8JydIxAhQy9eqQIojIfahNfp0tB8NXsoivlnR3BKGm1qBRjejWpt-/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">3) </span><span lang="ES" style="color: red; font-size: 11pt;">PROBLEMAS DE ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/EqwXNUZJhWc" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<b><u><span lang="ES-TRAD" style="color: #538135; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL ARTE DE RESOLVER PROBLEMAS DE POLYA - <a href="https://youtu.be/P50Py3L8x8o" target="_blank">Vídeo</a><o:p></o:p></span></u></b></div>
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<b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">George Polya</span></b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">, considera 4 etapas en el proceso de resolución de problemas.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">PRIMERO: Comprenda el problema.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Para comprender un problema será necesario responder estas preguntas básicas:<o:p></o:p></span></div>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la incógnita?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuáles son los datos?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la condición?<o:p></o:p></span></li>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">SEGUNDO: Conciba un plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">(Operación matemática – condición – incógnita)<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Establece la relación entre los datos, la condición y la incógnita.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Al elaborar el plan no se escriben los números o cantidades (datos), sólo excepcionalmente se pueden escribir los datos<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TERCERO: Ejecute el plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Ejecutar un plan consiste en implementarlo y desarrollar lo previsto en la elaboración del plan.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Es decir, realizar la operación prevista en el plan.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">CUARTO: Examine la solución obtenida.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Realiza una revisión del proceso (pasos: 1, 2 y 3) y escribe el resultado.<o:p></o:p></span><br />
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">4) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/HmF9YBHpd30" target="_blank">Vídeo 1 </a> - <a href="https://youtu.be/QyqXbM80FRU" target="_blank">Vídeo 2</a></span><o:p></o:p></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><b><span lang="ES" style="font-family: "arial" , "sans-serif";">TEOREMA DE MULTIPLICACIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE DIVISIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve aplicando los teoremas correspondientes:<o:p></o:p></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="34" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">5) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">PROBLEMAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES</span><o:p></o:p></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw2M0LWOYvWENl-M322FkBTweCKb4Ds24aisB7TfZcu6N0rvfv3q68mvWsMe5cHET7kuUcFyIDw1PiOkgoxKJ9XRc1ZCdLbbSPp0brMobFlLvZeCiJdDJ_36Nm2WR6Q7laWtM42nFl1pWg/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="316" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiw2M0LWOYvWENl-M322FkBTweCKb4Ds24aisB7TfZcu6N0rvfv3q68mvWsMe5cHET7kuUcFyIDw1PiOkgoxKJ9XRc1ZCdLbbSPp0brMobFlLvZeCiJdDJ_36Nm2WR6Q7laWtM42nFl1pWg/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><br /></span></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">POTENCIACIÓN CON EXPONENTES ENTEROS<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">6) </span><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">POTENCIACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/yvFlXGzYhyo" target="_blank">Vídeo</a></span></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiR_zInpn_frGtHbcrCTgDs9cqI-64sVkSOzTxO3V9_qquHCBR3OH5nxRUW9evnlFYAWw2OhoH5b-vI2HvzgFKZSsgwQb5XYWh9-vMQ0J870XY4aHDJDgOTCAqOX4RO8CboGhvkwQ6BR6Qo/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiR_zInpn_frGtHbcrCTgDs9cqI-64sVkSOzTxO3V9_qquHCBR3OH5nxRUW9evnlFYAWw2OhoH5b-vI2HvzgFKZSsgwQb5XYWh9-vMQ0J870XY4aHDJDgOTCAqOX4RO8CboGhvkwQ6BR6Qo/s1600/Sin+t%25C3%25ADtulo.png" /></a></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">El exponente 3 nos indica el número de veces que debe multiplicarse la base dos.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">O sea 2 x 2 x 2, esto es igual ocho<o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Ejemplo:</span></b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve: 2 <sup>3</sup><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Solución:<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">2 <sup>3</sup> = 2 x 2 x 2 = 8<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TEOREMAS<o:p></o:p></span></u></b><br />
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<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">7) </span><span lang="ES" style="color: red; font-size: 11pt;">RADICACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/j7HJBJKgf-A" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXKqlvKPnjlfX4pGGbreBffOmXWzEXSU4MoeDTDo67uUIKhH50pYYamPmrOjsKLIKnqbeiJIRGhlV5sy3akFYvb-SigpCZMvDYSeJoX33nWtCR_iNPVQlPDfq3OpuruYXFyG09foU2yGe2/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="clear: left; display: inline !important; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXKqlvKPnjlfX4pGGbreBffOmXWzEXSU4MoeDTDo67uUIKhH50pYYamPmrOjsKLIKnqbeiJIRGhlV5sy3akFYvb-SigpCZMvDYSeJoX33nWtCR_iNPVQlPDfq3OpuruYXFyG09foU2yGe2/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;"><br /></span></span></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">PROPIEDADES<o:p></o:p></span></u></b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis6i4BxuHMLaNepPRTboAqXnCv8QUHsA8p2ArA5Vt4E8vBqkBePO0eFJ7m8b5CJYM3J5t6FbdAaGoITscy-gmKcdx6RS5xC5eKYPAE3Hx3gF5EOkM_S_D9-fmR37CdQs_uauJV4bl-pCDP/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="159" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis6i4BxuHMLaNepPRTboAqXnCv8QUHsA8p2ArA5Vt4E8vBqkBePO0eFJ7m8b5CJYM3J5t6FbdAaGoITscy-gmKcdx6RS5xC5eKYPAE3Hx3gF5EOkM_S_D9-fmR37CdQs_uauJV4bl-pCDP/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<b><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">8) <u>OPERACIONES COMBINADAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN, DIVISIÓN, POTENCIACIÓN Y RADICACIÓN DE NÚMEROS RACIONALES<o:p></o:p></u></span></b><br />
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Matemática, teoría, ejemplos y ejercicioshttp://www.blogger.com/profile/05405279932256760885noreply@blogger.com0tag:blogger.com,1999:blog-5295911293365764541.post-77829555007619414172018-01-13T18:53:00.002-08:002018-03-24T11:05:01.129-07:00OPERACIONES CON NUMEROS RACIONALES: SUMA, RESTA, MULTIPLICACION, DIVISION, POTENCIACION Y RADICACION<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Blog de fracciones y operaciones: </span><a href="https://goo.gl/bzyeMX" style="font-family: arial, helvetica, sans-serif;" target="_blank">https://goo.gl/bzyeMX</a><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Fracciones y operaciones en YouTube: <a href="https://goo.gl/tF1WNZ">https://goo.gl/tF1WNZ</a></span><br />
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>Vídeos de operaciones con números racionales</b></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">1) Suma de números racionales: <a href="https://youtu.be/3m_5fvaaLBs">https://youtu.be/3m_5fvaaLBs</a><o:p></o:p></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">2) Resta de números racionales: <a href="https://youtu.be/ynXCslsgJ_4">https://youtu.be/ynXCslsgJ_4</a><o:p></o:p></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">3) Multiplicación de números racionales: <a href="https://youtu.be/iDm42Dd1hec">https://youtu.be/iDm42Dd1hec</a><o:p></o:p></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">4) División de números racionales: <a href="https://youtu.be/uP-fzaooZSs">https://youtu.be/uP-fzaooZSs</a><o:p></o:p></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">5) Potenciación de números racionales: <a href="https://youtu.be/v5akkoC5_tU">https://youtu.be/v5akkoC5_tU</a><o:p></o:p></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">6) Radicación de números racionales: </span><a href="https://youtu.be/vofzXFI2Sxk" style="font-family: arial, helvetica, sans-serif;">https://youtu.be/vofzXFI2Sxk</a></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL CONJUNTO DE LOS NÚMEROS RACIONALES</span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">1) </span></span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA, COMPARACIÓN Y ORDEN - <a href="https://youtu.be/qXrga23ckpQ" target="_blank">Vídeo</a></span></span></h2>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> <u>REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA<o:p></o:p></u></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> A todo número racional le corresponde un punto en la recta numérica entera, recíprocamente, a todo punto de la recta numérica entera le corresponde un número racional.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> La recta numérica para los números racionales<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">COMPARACIÓN DE NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">LEY DE TRICOTOMIA<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Dados dos números racionales a y b se cumple solamente una de las siguientes afirmaciones:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">a < b ; a > b ; a = b<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Si dos números se encuentran ubicados en la recta numérica, es mayor el número que se encuentra a la derecha y es menor el número que se encuentra a la izquierda.<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">ORDEN DE LOS NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Al ordenar números racionales en forma ascendente o creciente se realiza del menor número al mayor<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Al ordenar números racionales en forma descendente o decreciente se realiza del mayor número al menor<o:p></o:p></span><br />
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"><o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 10pt;"><br /></span><span style="font-family: "arial" , sans-serif; font-size: 10pt;">10) Utilizando una cinta métrica, mide las estaturas de los integrantes de tu familia y gráfica en el plano cartesiano</span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Completa la siguiente tabla:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Qué aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo podría mejorar?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Para qué me sirve lo que aprendí?<o:p></o:p></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">2) </span><span lang="ES" style="color: red; font-size: 11pt;">ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/fCq5dlDpjRM" target="_blank">Vídeo 1</a> - <a href="https://youtu.be/UxIzokZz5SA" target="_blank">Vídeo 2</a><o:p></o:p></span></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif";"> <b>TEOREMA DE ADICIÓN DE NÚMEROS RACIONALES:<o:p></o:p></b></span><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE SUSTRACCIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"></span></b><b><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt; font-weight: normal;">Resuelve aplicando el teorema correspondiente:<o:p></o:p></span></h2>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">3) </span><span lang="ES" style="color: red; font-size: 11pt;">PROBLEMAS DE ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/EqwXNUZJhWc" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<b><u><span lang="ES-TRAD" style="color: #538135; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL ARTE DE RESOLVER PROBLEMAS DE POLYA - <a href="https://youtu.be/P50Py3L8x8o" target="_blank">Vídeo</a><o:p></o:p></span></u></b></div>
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<b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">George Polya</span></b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">, considera 4 etapas en el proceso de resolución de problemas.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">PRIMERO: Comprenda el problema.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Para comprender un problema será necesario responder estas preguntas básicas:<o:p></o:p></span></div>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la incógnita?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuáles son los datos?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la condición?<o:p></o:p></span></li>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">SEGUNDO: Conciba un plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">(Operación matemática – condición – incógnita)<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Establece la relación entre los datos, la condición y la incógnita.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Al elaborar el plan no se escriben los números o cantidades (datos), sólo excepcionalmente se pueden escribir los datos<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TERCERO: Ejecute el plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Ejecutar un plan consiste en implementarlo y desarrollar lo previsto en la elaboración del plan.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Es decir, realizar la operación prevista en el plan.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">CUARTO: Examine la solución obtenida.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Realiza una revisión del proceso (pasos: 1, 2 y 3) y escribe el resultado.<o:p></o:p></span><br />
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">4) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/HmF9YBHpd30" target="_blank">Vídeo 1 </a> - <a href="https://youtu.be/QyqXbM80FRU" target="_blank">Vídeo 2</a></span><o:p></o:p></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><b><span lang="ES" style="font-family: "arial" , "sans-serif";">TEOREMA DE MULTIPLICACIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE DIVISIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve aplicando los teoremas correspondientes:<o:p></o:p></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="34" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">5) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">PROBLEMAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES</span><o:p></o:p></span></h2>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">POTENCIACIÓN CON EXPONENTES ENTEROS<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">6) </span><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">POTENCIACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/yvFlXGzYhyo" target="_blank">Vídeo</a></span></span></h2>
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<span lang="ES" style="background-color: yellow; font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">El exponente 3 nos indica el número de veces que debe multiplicarse la base dos.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">O sea 2 x 2 x 2, esto es igual ocho<o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Ejemplo:</span></b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve: 2 <sup>3</sup><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Solución:<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">2 <sup>3</sup> = 2 x 2 x 2 = 8<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TEOREMAS<o:p></o:p></span></u></b><br />
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">PROPIEDADES<o:p></o:p></span></u></b><br />
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<b><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">8) <u>OPERACIONES COMBINADAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN, DIVISIÓN, POTENCIACIÓN Y RADICACIÓN DE NÚMEROS RACIONALES<o:p></o:p></u></span></b><br />
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Matemática, teoría, ejemplos y ejercicioshttp://www.blogger.com/profile/05405279932256760885noreply@blogger.com1tag:blogger.com,1999:blog-5295911293365764541.post-15034988198147724142017-09-29T19:14:00.000-07:002017-09-29T19:33:17.754-07:00NÚMEROS RACIONALES FRACCIONES: SUMA, RESTA, MULTIPLICACION, DIVISION, POTENCIACION Y RADICACION<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Blog de fracciones y operaciones: </span><a href="https://goo.gl/bzyeMX" style="font-family: arial, helvetica, sans-serif;" target="_blank">https://goo.gl/bzyeMX</a><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Fracciones y operaciones en YouTube: <a href="https://goo.gl/tF1WNZ">https://goo.gl/tF1WNZ</a></span><br />
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><b>Vídeos de fracciones o racionales en YouTube</b></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Fracciones propias e impropias: </span><span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><a href="https://youtu.be/E4EtKQ0Jw8Q" target="_blank">https://youtu.be/E4EtKQ0Jw8Q</a></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Conversión de numero mixto a fraccion impropia y viceversa: </span><span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"><a href="https://youtu.be/PmBVtDxvojY" target="_blank">https://youtu.be/PmBVtDxvojY</a></span><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Suma de fracciones con diferente denominador: <a href="https://youtu.be/6Cu5VJDLUfs" target="_blank">https://youtu.be/6Cu5VJDLUfs</a></span><br />
<span style="color: red; font-family: "arial" , "helvetica" , sans-serif;"></span><span style="color: red; font-family: "arial" , "helvetica" , sans-serif;">Resta de fracciones con diferente denominador: <a href="https://youtu.be/DzgCFahSbiQ" target="_blank">https://youtu.be/DzgCFahSbiQ</a></span><br />
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<iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/DzgCFahSbiQ/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/DzgCFahSbiQ?feature=player_embedded" width="320"></iframe></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL CONJUNTO DE LOS NÚMEROS RACIONALES</span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">1) </span></span><span lang="ES" style="color: red; font-size: 11pt; text-align: justify; text-indent: -14.2pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA, COMPARACIÓN Y ORDEN - <a href="https://youtu.be/qXrga23ckpQ" target="_blank">Vídeo</a></span></span></h2>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> <u>REPRESENTACIÓN DE LOS NÚMEROS RACIONALES EN LA RECTA NUMÉRICA<o:p></o:p></u></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> A todo número racional le corresponde un punto en la recta numérica entera, recíprocamente, a todo punto de la recta numérica entera le corresponde un número racional.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> La recta numérica para los números racionales<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">COMPARACIÓN DE NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">LEY DE TRICOTOMIA<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Dados dos números racionales a y b se cumple solamente una de las siguientes afirmaciones:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">a < b ; a > b ; a = b<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Si dos números se encuentran ubicados en la recta numérica, es mayor el número que se encuentra a la derecha y es menor el número que se encuentra a la izquierda.<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">ORDEN DE LOS NÚMEROS RACIONALES<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">Al ordenar números racionales en forma ascendente o creciente se realiza del menor número al mayor<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Al ordenar números racionales en forma descendente o decreciente se realiza del mayor número al menor<o:p></o:p></span><br />
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"><o:p></o:p></span></div>
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<span style="font-family: "arial" , sans-serif; font-size: 10pt;"><br /></span><span style="font-family: "arial" , sans-serif; font-size: 10pt;">10) Utilizando una cinta métrica, mide las estaturas de los integrantes de tu familia y gráfica en el plano cartesiano</span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;"> Completa la siguiente tabla:<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Qué aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo aprendí?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Cómo podría mejorar?<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 10pt;">¿Para qué me sirve lo que aprendí?<o:p></o:p></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">2) </span><span lang="ES" style="color: red; font-size: 11pt;">ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/fCq5dlDpjRM" target="_blank">Vídeo 1</a> - <a href="https://youtu.be/UxIzokZz5SA" target="_blank">Vídeo 2</a><o:p></o:p></span></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif";"> <b>TEOREMA DE ADICIÓN DE NÚMEROS RACIONALES:<o:p></o:p></b></span><br />
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<span lang="ES" style="background-color: yellow; font-family: "arial" , "sans-serif"; font-size: 11pt;"><span style="position: relative; top: 12pt;"></span></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE SUSTRACCIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"></span></b><b><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt; font-weight: normal;">Resuelve aplicando el teorema correspondiente:<o:p></o:p></span></h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKv2D3Jwiyfv-V7YRWl084lqpyv3oqK56Bwlx-EMyH5IH20W7vSNG0WCYB8WLl8Ixvogn-bZRjDMAEc5RW0hV5XuZ8JydIxAhQy9eqQIojIfahNfp0tB8NXsoivlnR3BKGm1qBRjejWpt-/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKv2D3Jwiyfv-V7YRWl084lqpyv3oqK56Bwlx-EMyH5IH20W7vSNG0WCYB8WLl8Ixvogn-bZRjDMAEc5RW0hV5XuZ8JydIxAhQy9eqQIojIfahNfp0tB8NXsoivlnR3BKGm1qBRjejWpt-/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;"><br /></span></span></h2>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">3) </span><span lang="ES" style="color: red; font-size: 11pt;">PROBLEMAS DE ADICIÓN Y SUSTRACCIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/EqwXNUZJhWc" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<b><u><span lang="ES-TRAD" style="color: #538135; font-family: "arial" , "sans-serif"; font-size: 11pt;">EL ARTE DE RESOLVER PROBLEMAS DE POLYA - <a href="https://youtu.be/P50Py3L8x8o" target="_blank">Vídeo</a><o:p></o:p></span></u></b></div>
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<b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">George Polya</span></b><span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">, considera 4 etapas en el proceso de resolución de problemas.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">PRIMERO: Comprenda el problema.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Para comprender un problema será necesario responder estas preguntas básicas:<o:p></o:p></span></div>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la incógnita?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuáles son los datos?<o:p></o:p></span></li>
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<li class="MsoNormal"><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">¿Cuál es la condición?<o:p></o:p></span></li>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">SEGUNDO: Conciba un plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">(Operación matemática – condición – incógnita)<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Establece la relación entre los datos, la condición y la incógnita.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Al elaborar el plan no se escriben los números o cantidades (datos), sólo excepcionalmente se pueden escribir los datos<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TERCERO: Ejecute el plan<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Ejecutar un plan consiste en implementarlo y desarrollar lo previsto en la elaboración del plan.<o:p></o:p></span></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Es decir, realizar la operación prevista en el plan.<o:p></o:p></span></div>
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<b><u><span lang="ES-TRAD" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">CUARTO: Examine la solución obtenida.<o:p></o:p></span></u></b></div>
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<span lang="ES-TRAD" style="font-family: "arial" , sans-serif; font-size: 11pt;">Realiza una revisión del proceso (pasos: 1, 2 y 3) y escribe el resultado.<o:p></o:p></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgE19NbRqfK_BHsojT_pOz_9vxM9gmNSh8hN743fjm_uelN72ZJnLuPWjFIPqMUcuVSzClgJIsbJP8IXGYDwGU2SGD1rm7dltePPtI4OtlXOgfg02Wst6jld9MM-2rtV3qlLRvQobA1FeX9/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="210" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgE19NbRqfK_BHsojT_pOz_9vxM9gmNSh8hN743fjm_uelN72ZJnLuPWjFIPqMUcuVSzClgJIsbJP8IXGYDwGU2SGD1rm7dltePPtI4OtlXOgfg02Wst6jld9MM-2rtV3qlLRvQobA1FeX9/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">4) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/HmF9YBHpd30" target="_blank">Vídeo 1 </a> - <a href="https://youtu.be/QyqXbM80FRU" target="_blank">Vídeo 2</a></span><o:p></o:p></span></h2>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span><b><span lang="ES" style="font-family: "arial" , "sans-serif";">TEOREMA DE MULTIPLICACIÓN DE NÚMEROS RACIONALES:<o:p></o:p></span></b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTnr5QODsmKZ9xRZcW_tNWFOxNmD8Vb87KJifI7HglNEpdFSh383Pj6gtYOH8YoghlFMB5O0AY8V26D9GtR1RjvEudmSS87578nLWgLsLF4W3Kg6rVXfrC9qWHbM8MdZ7RDR7KyL0sdsOy/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif";"> TEOREMA DE DIVISIÓN DE NÚMEROS RACIONALES:</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggc5npFsjvC5_sGDaqeWg2f_-iYzXCDsHmdo7pxLK4UbhyphenhyphenEXM_6e-zT8jW2LMHpG5WMI5XomSdz4QwePJ8DmFB7GT1wR1mN6yQwAZXrXDg_0W77pLRI3P6lGS18-x_tQyYcB2MQKn0GPFg/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggc5npFsjvC5_sGDaqeWg2f_-iYzXCDsHmdo7pxLK4UbhyphenhyphenEXM_6e-zT8jW2LMHpG5WMI5XomSdz4QwePJ8DmFB7GT1wR1mN6yQwAZXrXDg_0W77pLRI3P6lGS18-x_tQyYcB2MQKn0GPFg/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0pdjmD_T4G0taQ8tZ-io30f8RwoRf-0AedW3QUWTnb5aDMrjjbSRp6EtPknkWZDz4f-dqKgaMrwZfby0Ig8OO6M8BB9SL5-Kb_NidrbRR7DcjigLmZDabNtvb5ziTndQgwWEFvUPITHqq/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0pdjmD_T4G0taQ8tZ-io30f8RwoRf-0AedW3QUWTnb5aDMrjjbSRp6EtPknkWZDz4f-dqKgaMrwZfby0Ig8OO6M8BB9SL5-Kb_NidrbRR7DcjigLmZDabNtvb5ziTndQgwWEFvUPITHqq/s1600/Sin+t%25C3%25ADtulo.png" /></a></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve aplicando los teoremas correspondientes:<o:p></o:p></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s1600/Sin+t%25C3%25ADtulo.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="34" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn5X_XmdfmMgOeEfhnKzFOuITXQ8R0jOP8BxQ7EW-gONASvuhi3DgUl_Ltaf3_Zt8ZR8bYq4R6gZBLxPEmjDa4y_sfGmGX1fdlGYvStndxdoLjKouGu5_sarg7aAYFc__MRtvBh85dEl6M/s400/Sin+t%25C3%25ADtulo.png" width="400" /></a></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"> </span></div>
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<span lang="ES" style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: 11pt;">5) </span><span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;">PROBLEMAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN Y DIVISIÓN DE NÚMEROS RACIONALES</span><o:p></o:p></span></h2>
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<span lang="ES" style="color: red; font-size: 11pt;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif";"><o:p></o:p></span></div>
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<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><br /></span></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">POTENCIACIÓN CON EXPONENTES ENTEROS<o:p></o:p></span></u></b></div>
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<span lang="ES" style="font-size: 11pt; font-weight: normal;"> </span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">6) </span><span lang="ES" style="color: red; font-size: 11pt; text-indent: 0cm;">POTENCIACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/yvFlXGzYhyo" target="_blank">Vídeo</a></span></span></h2>
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<span lang="ES" style="background-color: yellow; font-family: "arial" , "sans-serif"; font-size: 11pt;"></span><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">El exponente 3 nos indica el número de veces que debe multiplicarse la base dos.<o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">O sea 2 x 2 x 2, esto es igual ocho<o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Ejemplo:</span></b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;"><o:p></o:p></span></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Resuelve: 2 <sup>3</sup><o:p></o:p></span></div>
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<b><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">Solución:<o:p></o:p></span></b></div>
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<span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">2 <sup>3</sup> = 2 x 2 x 2 = 8<o:p></o:p></span></div>
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<b><u><span lang="ES" style="font-family: "arial" , "sans-serif"; font-size: 11pt;">TEOREMAS<o:p></o:p></span></u></b><br />
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<a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=7617418805657431191" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;">7) </span><span lang="ES" style="color: red; font-size: 11pt;">RADICACIÓN DE NÚMEROS RACIONALES - <a href="https://youtu.be/j7HJBJKgf-A" target="_blank">Vídeo</a><o:p></o:p></span></span></h2>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span lang="ES" style="color: red; font-size: 11pt;"><br /></span></span></div>
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<b><u><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">PROPIEDADES<o:p></o:p></span></u></b><br />
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<b><span lang="ES" style="color: red; font-family: "arial" , "sans-serif"; font-size: 11pt;">8) <u>OPERACIONES COMBINADAS DE ADICIÓN, SUSTRACCIÓN, MULTIPLICACIÓN, DIVISIÓN, POTENCIACIÓN Y RADICACIÓN DE NÚMEROS RACIONALES<o:p></o:p></u></span></b><br />
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