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<p>Guía 2. Realización de operaciones con números racionales.</p>
Motivación
<p><iframe width="500" height="281" src="//www.youtube.com/embed/c9eWZ5zlzP0" frameborder="0" allowfullscreen=""></iframe></p>
Explicación
<p><b>LOS NÚMEROS RACIONALES ( Q ):</b></p><p>Un número racional se puede expresar de la forma donde a y b son números enteros y b?0. El numero a se llama NUMERADOR y el número b DENOMINADOR. Los números racionales pueden ser positivos o negativos, el signo del número racional , depende del signo de los enteros a y b. por ejemplo; el número racional </p><p>El número – 10 se puede expresar como , por lo tanto – 10 es un entero y pertenece al conjunto de los racionales</p><p>TODOS LOS NÚMEROS ENTEROS SON RACIONALES, PERO NO TODOS LOS NÚMEROS RACIONALES SON ENTEROS.</p><p><b>Representación de números racionales en la recta numérica</b>: para ello recordemos que el denominador indica las partes que se divide cada unidad y el numerador las partes que se toman. Observemos el ejemplo:</p><p><img src="data:image/png;base64,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" alt=""><br></p><p><img src="/web/uploads/9128/343a29615e-operaciones3.png"></p><p><img src="/web/uploads/9128/a4efa55d0c-operar3.png"></p><p><span class="redactor-invisible-space"><span class="redactor-invisible-space"><span class="redactor-invisible-space"><span class="redactor-invisible-space"></span></span></span></span><br></p>
Ejercicios
<p><img src="/web/uploads/9128/030ce20024-ejercicios-6.png" width="624" height="434" style="width: 624px; height: 434px;"></p><p><img src="/web/uploads/9128/6068fad9e3-ejercicios-8.png" width="735" height="246" style="width: 735px; height: 246px;"></p>
Evidencia
Evaluación
<p>Cada estudiante debe enviar por este medio o por WhatsApp el desarrollo de los ejercicios. Para la respectiva valoración se tiene en cuenta la puntualidad, la presentación de las actividades, la solución acertada de los ejercicios y la conectividad a las clases.<br></p>
Bibliografía
Foro
calificable?
Activo
Actualizar