tag:blogger.com,1999:blog-22691431569683593292023-11-15T09:59:51.849-08:00Manejo de Espacios y CantidadesMasterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.comBlogger15125tag:blogger.com,1999:blog-2269143156968359329.post-6330677668023965842012-05-19T17:40:00.000-07:002012-05-19T15:01:41.366-07:00<div style="text-align: justify;">
En este blog, hablaremos acerca de la materia de Manejo De Espacios y Cantidades en la cual se abordan temas matemáticos enfocándolos a elementos que ocurren en la vida diaria.</div>
<div style="text-align: justify;">
Nosotros pondremos una guía de algunos de los temas que se abordaran en la materia, ademas de tips, para poder acreditar de manera mas eficientemente.</div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-77256144166209220402012-05-19T14:56:00.000-07:002012-05-19T14:56:58.414-07:00Binomio al cuadrado o cuadrado de un binomio y Cubo<!--[if !mso]>
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<div class="separator" style="clear: both; text-align: center;">
<a href="http://upload.wikimedia.org/wikipedia/commons/2/21/Binomio_al_cuadrado.svg?uselang=es" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://upload.wikimedia.org/wikipedia/commons/2/21/Binomio_al_cuadrado.svg?uselang=es" width="270" /></a></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Ilustración
gráfica del <i>binomio al cuadrado</i>.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Para
elevar un binomio al cuadrado (es decir, multiplicarlo por sí mismo), se suman
los cuadrados de cada término con el doble del producto de ellos. Es decir:</span></div>
<div class="MsoNormal" style="line-height: normal;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;"> </span><img alt="" src="data:image/png;base64,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" /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12pt;">Trinomio al Cuadrado Perfecto.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Cuando el
segundo término es negativo, la ecuación que se obtiene es:</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm;">
<img alt="" src="data:image/png;base64,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" /><br /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">En ambos
casos el tercer término tiene siempre signo positivo.</span></div>
<br /><div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 2;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 18.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Binomio al cubo o cubo de un binomio</span></b></div>
<div class="MsoNormal">
<span style="mso-fareast-language: ES-MX;"><br /></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<a href="http://commons.wikimedia.org/wiki/File:Binomio_al_cubo.svg?uselang=es"><img alt="" src="data:image/png;base64,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" /></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<a href="http://es.wikipedia.org/wiki/Archivo:Binomio_al_cubo.svg" title=""Aumentar" "><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX; mso-no-proof: yes; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"><br /></span></span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Descomposición
volumétrica del binomio al cubo</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Para
calcular el cubo de un binomio, se suma: el cubo del primer término, con el
triple producto del cuadrado del primero por el segundo, más el triple producto
del primero por el cuadrado del segundo, más el cubo del segundo término.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm;">
<img alt="" src="data:image/png;base64,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" /><br /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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<br /></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-67528888694662701692012-05-19T03:00:00.000-07:002012-05-19T15:07:07.225-07:00Operaciones con polinomios<br />
<h1>
Suma de polinomios </h1>
<div class="actividadesr">
<b>Para sumar dos polinomios se suman los
coeficientes de los términos del mismo grado.</b></div>
<div class="actividades2v">
P(x) = 2x<sup>3</sup> + 5x − 3
Q(x) = 4x − 3x<sup>2</sup> + 2x<sup>3</sup></div>
<div class="actividadesg" style="margin-left: 36.0pt; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
1.<span style="font: 7pt "Times New Roman";"> </span><b>Ordenamos</b>
los <b>polinomios</b>, si no lo están.</div>
<div class="actividades2r">
Q(x) = 2x<sup>3</sup> − 3x<sup>2</sup> + 4x</div>
<div class="actividades2v">
P(x) + Q(x) = (2x<sup>3</sup> + 5x − 3) + (2x<sup>3</sup>
− 3x<sup>2</sup> + 4x) </div>
<div class="actividadesg">
<span class="numeror">2. </span><b>Agrupamos</b>
los <b>monomios</b> del <b>mismo grado</b>.</div>
<div class="actividades2v">
P(x) + Q(x) = 2x<sup>3</sup> + 2x<sup>3</sup> − 3
x<sup>2</sup> + 5x + 4x − 3</div>
<div class="actividadesg" style="margin-left: 36.0pt; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
2.<span style="font: 7pt "Times New Roman";"> </span><b>Sumamos
los monomios semejantes</b>.</div>
<div class="actividades2v">
P(x) + Q(x) = 4x<sup>3</sup>− 3x<sup>2</sup> + 9x
− 3 </div>
<h3 style="margin-top: 22.5pt;">
Resta de polinomios</h3>
<div class="actividadesr">
<b>La resta de polinomios</b> consiste en <b>sumar
el opuesto del sustraendo</b>. </div>
<div class="actividades2g">
P(x) − Q(x) = (2x<sup>3</sup> + 5x − 3) − (2x<sup>3</sup>
− 3x<sup>2</sup> + 4x) </div>
<div class="actividades2v">
P(x) − Q(x) = 2x<sup>3</sup> + 5x − 3 − 2x<sup>3</sup>
+ 3x<sup>2</sup> − 4x</div>
<div class="actividades2g">
P(x) − Q(x) = 2x<sup>3</sup> − 2x<sup>3</sup> + 3x<sup>2</sup>
+ 5x− 4x − 3</div>
<div class="actividades2v">
P(x) − Q(x) = 3x<sup>2</sup> + x − 3</div>
<div class="MsoNormal">
<br /></div>
<h1>
Multiplicación de polinomios</h1>
<h3>
Multiplicación de un número por un polinomio</h3>
<div class="actividadesr">
Es otro <b>polinomio</b> que tiene de <b>grado</b>
el <b>mismo</b> del polinomio y como <b>coeficientes</b> el
<b>producto de los coeficientes del polinomio por el número</b>.</div>
<div class="actividades2v">
3 · ( 2x<sup>3</sup> − 3 x<sup>2</sup> + 4x − 2) = 6x<sup>3</sup>
− 9x<sup>2</sup> + 12x − 6 </div>
<h3 style="margin-top: 22.5pt;">
Multiplicación de un monomio por un polinomio</h3>
<div class="actividadesr">
Se <b>multiplica el monomio</b> por todos y <b>cada</b>
uno de los <b>monomios que forman el polinomio</b>.</div>
<div class="actividades2v">
3 x<sup>2</sup> · (2x<sup>3</sup> − 3x<sup>2</sup> + 4x
− 2) = 6x<sup>5</sup> − 9x<sup>4</sup> + 12x<sup>3</sup> − 6x<sup>2</sup></div>
<h3 style="margin-top: 22.5pt;">
Multiplicación de polinomios</h3>
<div class="actividades2v">
P(x) = 2x<sup>2</sup> − 3 Q(x) = 2x<sup>3</sup>
− 3x<sup>2</sup> + 4x</div>
<div class="actividadesg">
<b>Se multiplica cada monomio del primer polinomio
por todos los elementos segundo polinomio.</b></div>
<div class="actividadesv">
P(x) · Q(x) = (2x<sup>2</sup> − 3) · (2x<sup>3</sup>
− 3x<sup>2</sup> + 4x) =</div>
<div class="actividades2v">
= 4x<sup>5</sup> − 6x<sup>4</sup> + 8x<sup>3</sup> − 6x<sup>3</sup>
+ 9x<sup>2</sup> − 12x = </div>
<div class="actividadesg">
<b>Se suman los monomios del mismo grado.</b></div>
<div class="actividades2v">
= 4x<sup>5</sup> − 6x<sup>4</sup> + 2x<sup>3</sup> + 9x<sup>2</sup>
− 12x </div>
<div class="actividadesr">
<b>Se obtiene otro polinomio cuyo grado es la suma
de los grados de los polinomios que se multiplican.</b></div>
<div class="actividadesg">
También podemos <b>multiplicar polinomios</b>
de siguiente modo:</div>
<div class="actividadesg">
<img alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAACaCAIAAADjKvAPAAAHCElEQVR4nO3d0ZajOAxFUVb+/58zD+lJ02Bk2Vc2Mjn7bYhj1EY3JqlKzfYGINjuLgBYGxECJEQIkBAhvLf/3V3IH9nqsa1RJcb5dmqSrs1WT9UCJeLKdqLPlqekcRF6vV6BMxOhVZ07rLvnom6cwksS6yn65IcIodxkSnMM2sc6ph2anze7EAzOfWB/cPR7j9aSOsr4BMM/rBgh/8EDIvQonn69OjInP9WStn95zuKJ0H6MMy3OzYoIPcdVz50bdE4lxrliS6pG6DDgKhv74/6bPSL0EHYjtr6u2zP4p6qmSCnp+8GAPdU5YEY89nM6yyBCT+C55HP2n6bzRpVk70LFpNmRa6qKCC3Pn59bUnR10sCSnB8n7MezC+GP1v1naIqKk1cP6iVFRYj3Qj+n7/5tXIqc55pZUhGfyOH9vnh/f+hF/7YwrirP2W+PUPcPhd5ECBARIUBChAAJEQIkRAiQECFAQoQACRECJEQIkBAhQEKEAAkRAiRECAu4+qXVDDLWBOzN+bJTt3QF4Xmq34Bomkev5/xVcGU2IoSxor5gF5sf+0gTIoSxQr5jF3gLp3y7rogI4QZN366d8BaICGEx1bu7/X8Gvm8p4kYOi/Hc2k3befg4AYsxWla8c3P+cdOrJ7ae7osIYZ5qW4+7W7PxXggLcObHMzIcEUJ2/vw4x3fjQ22sx5OHGyPEeyGkdn6Lf37D4/mMLhC/4AMkQoQACRECJEQIkBAhQEKEAAkRWpjxeTE6dF6F2IsK/BoiBEiIECAhQoCECAESIgRIiBAgIUK/RfwZyAgJS2qyat3o8G3TPC2bsKRWSxb94wJ+oB7XryE/4I8t6X39RdTYL9t9EKGVRHVqbH6u/rN7HoXx1+HCv/L9QYSWMa71AyfpmHnELZz/b4zoKSJCy6i2WrWnO954GMOcEbKHjcjPuyUYzq3JmJAIreHQc93t23ojNyJCh1Qb/6JusRGyZyNCazg3mWfP0ZtSj9CIqqqcEbI/dXBORYRutpVcDfMfFDu1r6rqSKUqZ0kfngjZY/x/tJ4IrcEfIeN433k9hX3PaJw6sKqqaoT0jH0RoTVM3oX2s7WOH7QLNfHsMJ4Z2IWewxmh/ZGQfm2awbMrzkmREZLW/Yf3Qs9xaD47P1dHhtbmvKucUJXncwL/c/lE7jm2f50fKo6fU48xYGZVxq/wFP8fXsUxxTmvzkiEAAkRAiRECJAQIUBChAAJEQIkRAiQECFAQoQACRECJEQIkBAhQPLYCBm/kZlBtqrSLlR+j12yzA2RrV+3uV/meZg11qvj0o7bgsSZt+g//hS43xKhDgusl9gcI5pVmSG2qsM8SrDJT5/sS6a/Zg9qVmWSoZtGhrX6KanXy3jNrnbP6Nd754CrZzmrCjnj/LX6KXnXy74/8R+JzY+xgTh7t/rQYZizMGPayWv1a5IuWcfr6NDLf+6wOSU5Y2YEe1Bh+Mq4lJ7X0f1xsSe2Ek8BxsEJJRVrqI4kP+EyrmaxgZqae1BJzlMHlmTP07og5GeENRbUbtYJnTF5F9rPFlJVeGH4WmM1q70yujOczRpeUlSEZq7Vr1ljKe1mvToytIYMJXmququw37HGOvY1yqAyirdDd5VkV3VvYT+CdQQkRAiQECFAQoQACRECJCkitCGfu5tiGawUICFCgIQIARIiBEiIECAhQoCECAESIgRIHhWh5D8cTFVVwlVKWJLHYuXaMl+AVP2x5fsGa8KSnPLW2rGU47YgceZN/pusxUr0CQPXKqqq2Mv3er2Ks32OxxQslDeQ+A8b0RnKDFFVnWdQUh2+SlFVhZS0D0nxIfuIX8YI6a/ZUVci275RfPrtCxVVVez+81HMhv+gR7oIGa/Z1UsV+HrvnKepe5xV6Z0XvlD6InhKCs/PuyUYh5H+mOWKkL3o/iOx+dl2rsYYRzwPHYb11dlxxHmuEREqDgi8fB+BEbqaKlGEPL044XXrcC67D0aU1DTD1Rljq9IjFF6SkzNC1T3HmCdLhDzXYH9cvAZbiacA4+CEkjzFBFblL+nwkL2kMxfKEyFjjPGZxN96nHWPVlwX+0rMKcl56sCSnPN4zhhVlWeSw/WasFAe1QjpA7JE6My+BhOuhD9CsSX5+9UzJqSqjhkmLJSHHQBnfuyCF4vQ/uDoK+GMUHhJIXtLbFWtT7/92n1Vb9Kcz13gvdCZ3axXR4bWkLAk55hpLXv1mn1XSfZvJzQ9cYFP5A6q7Xt1cEQZxc6YX9J27caqDoVdPTq5JONXeM4PHcY0/ew1b4SAJRAhQEKEAAkRAiRECJAQIUBChAAJEQIkRAiQECFAQoQACRECJEQIkBAhQEKEAAkRAiRECJAQIUBChAAJEQIkRAiQECFAQoQACRECJEQIkBAhQEKEAAkRAiT/AaIMTjB3uBF0AAAAAElFTkSuQmCC" /> </div>
<div class="actividadesg">
</div>
<h1>
División de polinomios</h1>
<div class="actividadesv">
P(x) = x<sup>5</sup> + 2x<sup>3</sup> − x − 8
Q(x) = x<sup>2</sup> − 2x + 1 </div>
<div class="actividades2rir">
<b>P(x) : Q(x)</b></div>
<div class="actividadesg">
<b>A la izquierda situamos el dividendo</b>. Si
el polinomio <b>no es completo</b> dejamos <b>huecos</b> en
los lugares que correspondan.</div>
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<div class="actividadesg">
</div>
<div class="actividadesg">
<b>A la derecha situamos el divisor dentro de una
caja.</b></div>
<div class="actividadesg">
<b>Dividimos el primer monomio del dividendo entre
el primer monomio del divisor.</b></div>
<div class="actividades2v">
x<sup>5</sup> : x<sup>2</sup> = x<sup>3</sup> </div>
<div class="actividadesg">
<b>Multiplicamos cada término del polinomio divisor
por el resultado anterior y lo restamos del polinomio dividendo: </b></div>
<div class="actividadesg">
<br /></div>
<div class="actividadesg">
<img alt="" src="data:image/png;base64,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" /> </div>
<div class="actividadesg">
</div>
<div class="actividadesg">
Volvemos a <b>dividir</b> el primer monomio del
dividendo entre el primer monomio del divisor. Y el resultado lo multiplicamos
por el divisor y lo restamos al dividendo. </div>
<div class="actividades2v">
2x<sup>4</sup> : x<sup>2</sup> = 2 x<sup>2</sup> </div>
<div class="actividadesg">
<br /></div>
<div class="actividadesg">
</div>
<div class="actividadesg">
<img alt="" src="data:image/png;base64,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" /> </div>
<div class="actividadesg">
</div>
<div class="actividadesg">
Procedemos igual que antes.</div>
<div class="actividades2v">
5x<sup>3</sup> : x<sup>2</sup> = 5 x</div>
<div class="actividades2v">
<img alt="" src="data:image/png;base64,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" /> </div>
<div class="actividades2v">
</div>
<div class="actividadesg">
Volvemos a hacer las mismas operaciones.</div>
<div class="actividades2v">
8x<sup>2</sup> : x<sup>2</sup> = 8 </div>
<div class="actividades2v">
<img alt="" src="data:image/png;base64,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" /> </div>
<div class="actividades2v">
</div>
<div class="actividadesg">
<span class="sol">10x − 6 </span>es el <b>resto</b>,
porque su <b>grado es menor que el del divisor</b> y por tanto no se
puede continuar dividiendo.</div>
<div class="actividadesv">
<span class="sol">x<sup>3</sup>+2x<sup>2</sup> +5x+8</span>
es el <b>cociente</b>. </div>
<div class="actividadesg">
</div>
<div class="actividadesg">
</div>
<div class="actividadesg">
</div>
<div class="actividadesg">
</div>
<div class="actividadesg">
</div>
<div class="actividadesg">
</div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-1580475105090181272012-05-19T02:59:00.000-07:002012-05-19T15:09:59.061-07:00Calculo de porcentajes<br />
<div class="MsoNormal">
Para calcular el porcentaje de un numero se usa la siguiente
formula:</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
<img alt="" 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" />
</div>
Para calcular el porcentaje de una cantidad se multiplica la cantidad por el
número decimal equivalente al porcentaje<br />
<div class="MsoNormal">
<br /></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-54900310418301226862012-05-19T02:58:00.000-07:002012-05-19T15:11:54.443-07:00Proporcionalidad inversa<!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:RelyOnVML/>
<o:AllowPNG/>
</o:OfficeDocumentSettings>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
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<w:LidThemeOther>ES-MX</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:EnableOpenTypeKerning/>
<w:DontFlipMirrorIndents/>
<w:OverrideTableStyleHps/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
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<w:LsdException Locked="false" Priority="10" SemiHidden="false"
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<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
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<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
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UnhideWhenUsed="false" Name="Colorful Shading"/>
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UnhideWhenUsed="false" Name="Colorful List"/>
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UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
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UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
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Para explicar este tema tomaremos como ejemplo este problema
y para resolverlo utilizaremos una regla de tres:</div>
<div class="MsoNormal">
Tres pintores tardan 10 días en pintar una tapia. ¿Cuánto tardarán
seis pintores en hacer el mismo trabajo? . Al aumentar el número de pintores
disminuye el tiempo que se tarda en pintar la tapia, como el número de pintores
se multiplica por 2, el número de días que s emplean en pintar se divide por 2.
Así tardarán 5 días.</div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Regla de
tres simple inversa </span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><br />
Dadas dos magnitudes, se conocen la equivalencia entre un valor de una y el
valor de la otra. Entonces para cada nuevo valor que se de a una magnitud
calculamos el valor proporcional inverso de la segunda magnitud</span></div>
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<br /></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-37612179330598466862012-05-19T02:57:00.000-07:002012-05-19T15:17:02.659-07:00Reconocimiento de Proporcionalidad y Proporcionalidad Directa<!--[if gte mso 9]><xml>
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UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
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</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Tabla normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:10.0pt;
mso-para-margin-left:0cm;
line-height:115%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;
mso-fareast-language:EN-US;}
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<![endif]-->
<br />
<h2>
I. Reconocer la proporcionalidad</h2>
<em><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">Ejemplo</span></em><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">:
observa esta tarifa de una compañía telefónica.</span><br />
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<![endif]--><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: ES-MX; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">La
tabla de arriba es un ejemplo de proporcionalidad. El valor de cada una de las
cantidades de la fila inferior es el quíntuplo (cinco veces mayor) de los
números de la primera fila.<br />
2 ×<strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;"> </span></strong>5 = 10<br />
7 ×<strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;"> </span></strong>5 = 35<br />
0,8 ×<strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;"> </span></strong>5 = 4<br />
Observa que si aumenta el valor de los minutos, también lo hace el precio a
pagar (céntimos de €), y que si disminuyen, ocurre lo propio en la fila de
abajo. Cuando se establece una relación de este tipo entre dos cantidades (al
aumentar o disminuir una de ellas, la otra lo hace en la misma medida) se dice
que existe entre ellas una relación de <strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;">proporcionalidad</span></strong>
<strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;">directa</span></strong>. En este ejemplo
podemos decir que 5 es la <strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;">constante</span></strong> <strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;">de</span></strong> <strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;">proporcionalidad</span></strong> <strong><span style="font-family: "Calibri","sans-serif"; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: minor-bidi; mso-hansi-theme-font: minor-latin;">directa</span></strong>. Es decir, el número
“mágico” que consigue establecer una relación entre el tiempo (minutos) y <span class="ilad">el dinero</span> (euros).<br />
Esta tabla de proporcionalidad también la podemos expresar como una igualdad de
razones o fracciones equivalentes:<br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
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<br />
Es decir, como una <strong>proporción</strong>.<br />
Si calculamos el resultado de cada uno de estos cocientes encontraremos que
siempre es el mismo (0,2). Dicho de otra forma:<strong> el cociente entre dos
números correspondientes de cada razón es constante</strong>. A este valor
constante le llamaremos <strong>razón</strong> <strong>de</strong> <strong>proporcionalidad</strong>.
<br />
<span class="ilad"><i>Definición</i></span>: una tabla de proporcionalidad es una
tabla formada por dos filas de números de manera que siempre hay un valor <em>k</em>
que hace que los números de la segunda fila sean, cada uno de ellos, <em>k </em>veces
los números de la primera fila.<br />
El numero <em>k</em> es conocido como coeficiente o constante de
proporcionalidad directa. <br />
<br />
<br />
<br />
<br />
<br />
<br />
<h2 align="center" style="text-align: center;">
Proporcionalidad directa</h2>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Dos
magnitudes son directamente proporcionales cuando al aumentar una, aumenta la
otra en la misma proporción.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Un kilo
de harina cuesta 0.5 € si compramos 4 Kilos de harina nos costarán 2 € luego
las magnitudes kg. de harina y precio son dos magnitudes directamente
proporcionales, al aumentar una aumenta la otra en la misma proporción. Al
multiplicarse por 4 la cantidad de harina se multiplica por 4 el precio </span></div>
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<b>Regla de tres simple directa</b><br />
Dadas dos magnitudes, se conocen la equivalencia entre un valor de una y el
valor de la otra. Entonces para cada nuevo valor que se de a una magnitud
calculamos el valor proporcional de la segunda magnitud </span></div>
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</span></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-22104954916458437262012-05-19T02:56:00.000-07:002012-05-19T15:22:19.559-07:00Realizar una Grafica de Barras<!--[if gte mso 9]><xml>
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Un gráfico de barras, también conocido como gráfico de
columnas, es un diagrama con barras rectangulares de longitudes proporcional al
de los valores que representan. Los gráficos de barras son usados para comparar
dos o más valores. Las barras pueden estar orientadas horizontal o verticalmente.
A veces se usa un gráfico extendido en vez de una barra sólida.</div>
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<img alt="http://www.xtec.cat/~ffernan7/elsrius/riuscastella/rios/grafic.jpg" height="270" src="http://www.xtec.cat/%7Effernan7/elsrius/riuscastella/rios/grafic.jpg" width="400" /> </div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-82668709625091222792012-05-19T02:55:00.000-07:002012-05-19T15:24:28.264-07:00Representación de números en una recta numérica<!--[if gte mso 9]><xml>
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<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
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Esta recta sirve para determinar en una resta o suma de
números negativos y positivos que signo se le asignara al resultado.</div>
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<br /></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-60260087265608381252012-05-19T02:54:00.000-07:002012-05-19T15:27:18.801-07:00PATRONES Y REGULARIDADES NUMÉRICAS Y NO NUMÉRICAS<br />
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<br /></div>
<b><i><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Patrones<br />
</span></i></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Un <b>patrón</b> es una sucesión de signos que
se construyen siguiendo una regla, ya sea de repetición o de recurrencia.<br />
Los patrones son un caso especial de regularidades. Se encuentran en los
frisos, mosaico, las tablas de las operaciones aritméticas, los sistema de
numeración, la serie numérica convencional escrita y oral, las sucesiones de
números (pares, primos, compuestos, cuadrados, capicúas, etc...)<br />
<br />
En los ejercicios de regularidades numéricas se trata de encontrar cuál es el
patrón o regla de formación de una sucesión.<br />
<br />
<b><i>La sucesión puede estar dada:</i></b><br />
<br />
A.- En un <i>contexto geométrico.</i></span><br />
<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"><i> </i></span><img alt="" 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" /><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"></span><br />
<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"><br style="mso-special-character: line-break;" />
</span>
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">¿Cuántos palitos se necesitan
para formar la figura 23?<br />
<br />
En la primera figura se necesitan 3 fósforos, pero 3 = 2 . 1 + 1<br />
En la segunda figura se necesitan 5 fósforos, pero 5 = 2 . 2 + 1<br />
En la tercera figura se necesitan 7 fósforos, pero 7 = 2 . 3 + 1<br />
Por lo tanto, para figura 23 se necesitarán 2 . 23 + 1= 47 fósforos.<br />
<br />
B.- <i>Mediante relaciones numéricas</i>.<br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></div>
<ul type="disc">
<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 15.5pt;">0 ; 5 ; 10; 15 ; 20; 25 ; 30</span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"> .... lo que habitualmente
se conoce como la escala del 5.</span></li>
<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 15.5pt;">1; 2; 3; 5; 8; 13; .... </span><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">en este caso el número que
sigue es la suma de los dos que lo preceden</span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<b><i><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">A su vez
a los patrones pueden ser</span></i></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt;">
<i><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">A.- De repetición</span></i><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
<ul type="disc">
<li class="MsoNormal" style="line-height: normal; mso-list: l1 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Completa hasta tener una
decena de flechas</span></li>
</ul>
<br />
<br />
<img alt="" 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" />
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<ul type="disc">
<li class="MsoNormal" style="line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Micaela prepara una
gargantilla utilizando piedras, canutillos y mostacillas. Cada 2
canutillos celestes, pone 5 mostacillas blancas y 1 piedra azul. Por la
longitud de la gargantilla, ella calcula que necesitará 36 canutillos,
¿cuántas mostacillas y cuántas piedras utilizará</span><img alt="" 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" />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<i><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">B.- De
recurrencia</span></i><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"> </span></div>
</li>
<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Descubre el patrón y escribe
los cinco números que continúan la serie.<br />
<br />
1 ; 2 ; 4 ; 7 ; 11 ; 16 ; ………………………………………</span></li>
</ul>
<span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">Continúa la serie hasta tener 15 círculos verdes<br style="mso-special-character: line-break;" />
</span><img alt="" 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/>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-1663532682830338232012-05-19T02:53:00.000-07:002012-05-19T16:10:19.741-07:00Clasificación de los números<!--[if gte mso 9]><xml>
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<br />
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><u><span style="color: #66ccff; font-family: "Comic Sans MS"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">N - NÚMEROS NATURALES </span></u></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #990000; font-family: "Comic Sans MS"; font-size: 10.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Un número natural es cualquiera de los números 0,
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</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
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<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><u><span style="color: #0033ff; font-family: "Comic Sans MS"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Z - NÚMEROS ENTEROS </span></u></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #990000; font-family: "Comic Sans MS"; font-size: 10.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Los números enteros son del tipo: -59, -3, 0, 1,
5, 78, 34567, etc., es decir, LOS NATURALES Y sus opuestos (negativos). </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><u><span style="color: #330099; font-family: "Comic Sans MS"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Q - NÚMEROS RACIONALES </span></u></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #990000; font-family: "Comic Sans MS"; font-size: 10.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">número racional es todo aquel número que puede
ser expresado como resultado de la división de dos números enteros.
Comunmente es a lo que se les llama numeros decimales, tanto en fracción como
expresado con comas. <br />
<br />
Cualquier numero puede representarse como una fracción de denominador 1
(ejem. 4/1) o como numero decimal (ejem. 4,0), por lo tanto los NUMEROS NATURALES
Y ENTEROS SON RACIONALES. </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b><u><span style="color: #ff6600; font-family: "Comic Sans MS"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">I - NÚMEROS IRRACIONALES </span></u></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #990000; font-family: "Comic Sans MS"; font-size: 10.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">LOS NÚMEROS IRRACIONALES no pueden representarse
en forma fraccionaria.Los números irracionales se caracterizan por poseer
infinitas cifras decimales que no siguen ningún patrón repetitivo. <br />
Debido a ello, los más celebres números irracionales son identificados
mediante símbolos. El más conocido es: <br />
<br />
(Pi): relación entre el perímetro de una circunferencia y su diámetro. </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<u><span style="color: white; font-family: "Comic Sans MS"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">R - NÚMEROS REALES </span></u><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="mso-cellspacing: 0cm; mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt; mso-yfti-tbllook: 1184; width: 100.0%;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
<td style="padding: 2.25pt 2.25pt 2.25pt 2.25pt;" valign="top">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #990000; font-family: "Comic Sans MS"; font-size: 10.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Como su propio nombre indica, son todos los
números, RACIONALES E IRRACIONALES </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;"></span></div>
</td>
</tr>
</tbody></table>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-11187530270142623082012-05-19T02:52:00.000-07:002012-05-19T16:11:14.382-07:00Potencias y Exponentes<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Una <b>potencia</b>
es una forma abreviada de escribir un <b>producto</b> formado por varios <b>factores
iguales</b>.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">6 · 6 · 6
· 6 · 6 = 6<sup>5</sup> </span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Base de una potencia</span></b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">La <b>base</b>
de una <b>potencia</b> es el <b>número</b> que <b>multiplicamos</b> por sí
mismo, en este caso el 6. </span></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Exponente de una potencia</span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">El <b>exponente</b>
de una <b>potencia</b> indica el <b>número</b> de veces que <b>multiplicamos</b>
la <b>base</b>, en el ejemplo es el 5.</span></div>
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<br /></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 18pt;">Potencias de números naturales</span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Una <b>potencia</b>
es una forma abreviada de escribir un <b>producto</b> formado por varios <b>factores
iguales</b>.</span></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">5 · 5 · 5
· 5 = 5<sup>4</sup> </span></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Base</span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">La <b>base</b>
de una <b>potencia</b> es el <b>número</b> que <b>multiplicamos</b> por sí
mismo, en este caso el 5. </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 4;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Exponente</span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">El <b>exponente</b>
de una <b>potencia</b> indica el <b>número</b> de veces que <b>multiplicamos</b>
la <b>base</b>, en el ejemplo es el 4.</span></div>
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<br /></div>
<div class="MsoNormal">
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<div class="MsoNormal">
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<br /></div>
<h1>
Multiplicación de potencias</h1>
<h4>
Multiplicación de potencias con la misma base</h4>
<div class="actividades">
La <b>multiplicación de potencias</b> con la
misma base es otra potencia con <b>la misma base</b> y cuyo <b>exponente</b>
es la <b>suma de los exponentes</b>. </div>
<div class="actividades2rir">
<b>a<sup>m </sup>· a <sup>n </sup>= a<sup>m+n</sup></b></div>
<div class="actividades2gir">
2<sup>5 </sup>· 2<sup>2 </sup>= 2<sup>5+2 </sup>= 2<sup>7</sup></div>
<div class="actividades2vir">
(−2)<sup>5 </sup>· (−2)<sup>2 </sup>= (−2)<sup>5+2 </sup>=
(−2)<sup>7</sup></div>
<div class="actividades2gir">
3<sup>3</sup> · 3<sup>4</sup> · 3 = 3<sup>8</sup></div>
<div class="actividades2vir">
(−2)<sup>2</sup> · (−2)<sup>3</sup> · (−2)<sup>4</sup>
= (−2)<sup>9</sup></div>
<div class="actividades2gir">
2<sup>−2</sup> · 2<sup>−3</sup> · 2<sup>4</sup> = 2<sup>−1
</sup></div>
<div class="actividades2vir">
2<sup>5</sup> · 2<sup>4</sup> · 2 = 2<sup>10</sup></div>
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<br /></div>
<h4>
Multiplicación de potencias con el mismo exponente</h4>
<div class="actividades">
<span class="actividades1">La </span><b>multiplicación
de potencias</b><span class="actividades1"> con el mismo exponente</span> es
otra potencia con el <b>mismo exponente</b> y cuya <b>base</b>
es el <b>producto de las bases</b></div>
<div class="actividades2rir">
<b>a<sup>n </sup>· b <sup>n </sup>= (a · b) <sup>n</sup></b></div>
<div class="actividades2gir">
2<sup>3 </sup>· 4<sup>3 </sup>= 8<sup>3</sup></div>
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<br /></div>
<div align="center" class="estilo5" style="text-align: center;">
<br /></div>
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<h2>
</h2>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-87319062745325355952012-05-19T02:51:00.000-07:002012-05-19T16:25:05.684-07:00Ley de los signos<br />
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<b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;">Suma</span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">1. Si los
números tienen el mismo signo se suman se deja el mismo signo.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">3 + 5 = 8</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−3) +
(−5) = − 8</span></div>
<div class="MsoNormal" style="line-height: normal; margin-top: 22.5pt; mso-margin-bottom-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">2. Si
números tienen distinto signo, se restan y al resultado se le coloca el signo
del número con mayor valor absoluto.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">− 3 + 5 =
2</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">3 + (−5)
= − 2 </span></div>
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<br /></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;">Multiplicación y división</span></b></div>
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<img alt="" src="data:image/png;base64,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" /><b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;"> </span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 30.6pt;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;"> </span></b>
</div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">2 · 5 =
10 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−2) ·
(−5) = 10 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">2 · (−5)
= − 10 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−2) · 5
= − 10 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">10 : 5 =
2 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−10) :
(−5) = 2 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">10 : (−5)
= − 2 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−10) : 5
= − 2 </span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 30.6pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 3;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt;">Potencias</span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">1. Las <b>potencias
de exponente par</b> son siempre <b>positivas</b>.</span></div>
<br />
<br />
<br />
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<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">2<sup>6</sup>
= 64</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−2)<sup>6</sup>
= 64</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">2. Las <b>potencias
de exponente impar</b> tiene el <b>mismo signo</b> de la <b>base</b>.</span></div>
<br />
<br />
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<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">2<sup>3</sup>
= 8 </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">(−2)<sup>3</sup>
= −8</span></div>
<div class="MsoNormal" style="line-height: normal;">
<br /></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-36241592833553120872012-05-19T02:50:00.000-07:002012-05-19T16:26:41.360-07:00Recíproco<!--[if gte mso 9]><xml>
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UnhideWhenUsed="false" Name="Light List Accent 6"/>
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UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
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UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
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</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Tabla normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:10.0pt;
mso-para-margin-left:0cm;
line-height:115%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;
mso-fareast-language:EN-US;}
</style>
<![endif]-->
<br />
<div align="center" style="text-align: center;">
<i>Es sólo: 1/número</i></div>
<div align="center" style="text-align: center;">
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¡Muy simple! Para tener el recíproco de un número, sólo divide 1 por el
número. <br />
Ejemplo: el recíproco de 2 es ½ <i>(un medio)</i><br />
<h3>
Más ejemplos: </h3>
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1,000<span style="font-size: 12.0pt; line-height: 115%;"></span></div>
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= 0.001<span style="font-size: 12.0pt; line-height: 115%;"></span></div>
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<h2>
Como darle la vuelta a un número</h2>
Si crees que un número se puede escribir como "número/1" sin
cambiar su valor, su recíproco es sólo darle la vuelta:<br />
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Quizás te acuerdes mejor sabiendo que "recíproco" viene de la
palabra latina <i>reciprocus</i> que quiere decir <i>volver </i>o<i> alternar</i>.
Como ir de compras y luego <i>volver</i> a casa.<br />
<h2>
Pero no cero</h2>
Todos los números tienen su recíproco menos 0 (1/0 no está definido)<br />
<h2>
Multiplica un número por su recíproco y tienes 1</h2>
Vamos a multiplicar un número por su recíproco:<br />
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Vamos a probar con otro:<br />
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10 × (<span class="frac"><sup>1</sup>/<sub>10</sub></span>) =
10 x 0.1 = <b>1</b></div>
¡Sí! Siempre sale <b>1</b><br />
De hecho es una manera de definir el recíproco: <br />
<div align="center" class="large" style="text-align: center;">
Recíproco: por lo que hay
que multiplicar un valor para que salga 1 </div>
En la multiplicación es el <a href="http://www.disfrutalasmatematicas.com/numeros/inverso.html">inverso</a>,
así que se le llama "<b>inverso multiplicativo</b>".<br />
<br />
<div align="center" style="text-align: center;">
<br /></div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-22160610180736301772012-05-19T02:49:00.000-07:002012-05-19T16:27:55.247-07:00Racionalización<!--[if !mso]>
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<span style="display: none; font-family: "Arial","sans-serif"; font-size: 8.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX; mso-hide: all;">Principio del formulario</span></div>
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<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;">
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Racionalizar
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<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-MX;">Si
en el denominador lo único que aparece es una raíz, multiplicamos
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multiplicamos el numerador y el denominador por el conjugado del
denominador.<br />
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</div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0tag:blogger.com,1999:blog-2269143156968359329.post-3476995325301996662012-05-19T02:48:00.000-07:002012-05-19T16:31:35.022-07:00<!--[if !mso]>
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<h1 align="center" style="text-align: center;">
El triángulo de Pascal</h1>
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Una de las pautas de números más interesantes el es triángulo de Pascal
(llamado así en honor de <i>Blaise Pascal</i>, un famoso matemático y
filósofo francés).<br />
<h3>
Para construir el triángulo, empieza con "1" arriba, y pon
números debajo formando un triángulo. <br />
<br />
Cada número es la suma de los dos números que tiene encima, menos los
extremos, que son siempre "1".</h3>
(Aquí está remarcado que <b>1+3 = 4</b>)<br />
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<br />
<h2>
Pautas en el triángulo</h2>
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" /><br /><span style="font-size: 12.0pt; line-height: 115%;"></span></div>
</td>
<td style="padding: .75pt .75pt .75pt .75pt; width: 92.0%;" width="92%">
<h3>
Diagonales</h3>
La primera diagonal es, claro, sólo "unos", y la siguiente son <a href="http://www.disfrutalasmatematicas.com/numeros/numeros-naturales-enteros.html">todos
los números</a> consecutivamente (1,2,3, etc.)<br />
La tercera diagonal son los <a href="http://www.disfrutalasmatematicas.com/numeros-patrones.html#triangular">números
triangulares</a><br />
(La cuarta diagonal, que no hemos remarcado, son los <a href="http://www.disfrutalasmatematicas.com/numeros-tetraedricos.html">números
tetraédricos</a>.)<br />
<br />
<br />
<br />
<br />
</td>
</tr>
</tbody></table>
</div>
</td>
<td style="padding: .75pt .75pt .75pt .75pt;">
<div class="MsoNormal">
<img alt="" src="data:image/png;base64,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" /><br /><span style="font-size: 12.0pt; line-height: 115%;"></span></div>
</td>
</tr>
</tbody></table>
</div>Masterkroxhttp://www.blogger.com/profile/03574025892829908036noreply@blogger.com0