tag:blogger.com,1999:blog-48470566196994123842024-02-19T03:24:27.752-08:00ADICION Y SUSTRACCIÓN DE NÚMEROS ENTEROSWolmarisabel Prato Ghttp://www.blogger.com/profile/05974626467435797485noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-4847056619699412384.post-56438912060477056382010-07-13T16:10:00.000-07:002010-07-13T16:23:45.212-07:00Números Enteros<span style=";font-family:";" lang="ES"> <span style="font-size:100%;"><span style="font-family:arial;">Se denomina conjunto de los números enteros, y se denota con Z, al conjunto formado por los números Naturales N = {0,1,2,3,4,..} y los números negativos {..-4,-3,-2,-1}, es decir: Z={..-4,-3,-2,-1,0,1,2,3,4,…}. (Figuera 1994).</span></span></span><span lang="ES" style="font-size:100%;"><br /><br />Los subconjuntos de los números enteros son:</span> <p class="MsoListParagraph" style="margin-left: 71.4pt; text-align: justify; text-indent: -18pt; line-height: 150%;font-family:arial;"><!--[if !supportLists]--><span lang="ES" style="font-size:100%;">Enteros positivos y negativos sin incluir el cero:<o:p></o:p></span></p> <p class="MsoListParagraph" style="margin-left: 71.4pt; text-align: justify; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-left: 106.2pt; text-align: justify; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7JSGFxfy5xJ7sOHTfXFF7Wa5Yq6bJX-qhlUCjOG6Ma9GtpWxP5aw03AN-KTsIwvu2gyrFoUJqwB7Iu0egI1LB100-oSouy0fNpe7kggiOjYqJAkg-Vqu-HPBWcAXp-A9qvuvw1vm9qGg/s1600/Dibujo3.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 220px; height: 34px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7JSGFxfy5xJ7sOHTfXFF7Wa5Yq6bJX-qhlUCjOG6Ma9GtpWxP5aw03AN-KTsIwvu2gyrFoUJqwB7Iu0egI1LB100-oSouy0fNpe7kggiOjYqJAkg-Vqu-HPBWcAXp-A9qvuvw1vm9qGg/s200/Dibujo3.jpg" alt="" id="BLOGGER_PHOTO_ID_5493533737329541938" border="0" /></a></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoListParagraph" style="margin-left: 71.4pt; text-align: justify; text-indent: -18pt; line-height: 150%;font-family:arial;"><!--[if !supportLists]--><span lang="ES" style="font-size:100%;"><span style=""><span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES" style="font-size:100%;">Enteros Positivos:<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-left: 70.8pt; text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwVUkxFCLY2NySUCIxbr-VL-P23KrY-Ypq1Z2CtGWJNfcSTOz4VuCK43jWN-jcYrbhRX87a4eId6FMV4tgzfl4ua8pOVDV6euVH-TFnHWUL9SCPbSgiaHHvBlGflUlm7UvGhhBwBgk5yk/s1600/Dibujo2.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 178px; height: 40px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwVUkxFCLY2NySUCIxbr-VL-P23KrY-Ypq1Z2CtGWJNfcSTOz4VuCK43jWN-jcYrbhRX87a4eId6FMV4tgzfl4ua8pOVDV6euVH-TFnHWUL9SCPbSgiaHHvBlGflUlm7UvGhhBwBgk5yk/s200/Dibujo2.jpg" alt="" id="BLOGGER_PHOTO_ID_5493533732207464546" border="0" /></a></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoListParagraph" style="margin-left: 71.4pt; text-align: justify; text-indent: -18pt; line-height: 150%;font-family:arial;"><!--[if !supportLists]--><span lang="ES" style="font-size:100%;"><span style=""><span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES" style="font-size:100%;">Enteros Negativos: <o:p></o:p></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%; font-family: arial;"><span lang="ES" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-left: 70.8pt; text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span lang="ES" style="font-size:100%;"></span><span lang="ES" style="font-size:100%;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKEIzCqBK_5JQW6PSBelrdthnlbaCp570xvG6NdbHZjQYQm0EWJu791wt1KLG0An9VQcFw8cTa-UZhHOq_xewIrCB6Oy2627jny7vC3eHjcEuH7lzhF2nvcO7kh2wXcvajg4EJezfuvpw/s1600/Dibujo4.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 143px; height: 31px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKEIzCqBK_5JQW6PSBelrdthnlbaCp570xvG6NdbHZjQYQm0EWJu791wt1KLG0An9VQcFw8cTa-UZhHOq_xewIrCB6Oy2627jny7vC3eHjcEuH7lzhF2nvcO7kh2wXcvajg4EJezfuvpw/s200/Dibujo4.jpg" alt="" id="BLOGGER_PHOTO_ID_5493533745566418514" border="0" /></a></span></p> <p class="MsoNormal" style="margin-left: 70.8pt; text-align: justify; text-indent: 35.4pt; line-height: 150%;"><span style=";font-family:";" lang="ES"><o:p> </o:p></span></p><br /><span style=";font-family:";" lang="ES"><o:p></o:p></span><p></p>Wolmarisabel Prato Ghttp://www.blogger.com/profile/05974626467435797485noreply@blogger.com0tag:blogger.com,1999:blog-4847056619699412384.post-44180434985429683792010-07-13T15:38:00.000-07:002010-07-13T15:54:29.706-07:00La vieja numérica<span style="font-size:85%;"><span style="line-height: 150%;"> Éste es un juego para practicar el cálculo mental, específicamente operaciones de adición y sustracción con los números enteros, en el que intervienen dos jugadores.<o:p></o:p></span></span> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span style="font-size:85%;"><span style="line-height: 150%;">Para la práctica de este juego es necesario dos subconjuntos de los números enteros y una tabla numérica como la que se muestra a continuación:<o:p></o:p></span></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span style="font-size:85%;"><span style="line-height: 150%;">Subconjuntos de los números enteros:<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPLU0wTxOVwGLnkh5RMaqjlWRd1aVlbQDhbdKo23xZd_rWxKs6E-m9Ctrzr6Gt2t-OBf9UEAy3_h597PphwNgdlu04nFK35RamlZOMcGgcFGTgpQzFaqOSYiGdTi2L0t9QbimB8rNUE9g/s1600/Dibujo1.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 200px; height: 113px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPLU0wTxOVwGLnkh5RMaqjlWRd1aVlbQDhbdKo23xZd_rWxKs6E-m9Ctrzr6Gt2t-OBf9UEAy3_h597PphwNgdlu04nFK35RamlZOMcGgcFGTgpQzFaqOSYiGdTi2L0t9QbimB8rNUE9g/s200/Dibujo1.jpg" alt="" id="BLOGGER_PHOTO_ID_5493527736470029810" border="0" /></a></span></span></p><span style="font-size:85%;"><o:p></o:p></span> <p class="MsoNormal" style="margin-left: 70.8pt; text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span style="font-size:85%;"><o:p> </o:p></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span style="font-size:85%;"><span style="line-height: 150%;">Tabla numérica: </span></span><span style="font-size:85%;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVX4QDlfAXL595Re46ccOq4OGRS6706k7xrxkh55eOIqd5k9TGWGYDRK0FYeGueMxpbzKL1sRTNwtfB_VuVkfDHc-BJ2u1SP5QyQAtL6YtVaQ7yMzgy63zMRGVtoqVxk-pU7ot0NxLENM/s1600/cuadro.jpg"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 305px; height: 234px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVX4QDlfAXL595Re46ccOq4OGRS6706k7xrxkh55eOIqd5k9TGWGYDRK0FYeGueMxpbzKL1sRTNwtfB_VuVkfDHc-BJ2u1SP5QyQAtL6YtVaQ7yMzgy63zMRGVtoqVxk-pU7ot0NxLENM/s320/cuadro.jpg" alt="" id="BLOGGER_PHOTO_ID_5493525787152013442" border="0" /></a></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span style="font-size:85%;"><span style="line-height: 150%;"><o:p> </o:p></span></span></p><span style="font-size:85%;"><span style="line-height: 150%;"> En la tabla se han escrito el resultado de la adición de dos de los números pertenecientes a un mismo subconjunto; y el resultado de la sustracción de dos números pertenecientes a subconjuntos diferentes. <o:p></o:p></span></span> <p class="MsoNormal" style="text-align: justify; text-indent: 35.4pt; line-height: 150%;font-family:arial;"><span style="font-size:85%;"><span style="line-height: 150%;">El objetivo del juego consiste en tachar en la tabla numérica tres números que estén en línea recta (horizontal, vertical o diagonal), teniendo en cuenta las siguientes normas:<o:p></o:p></span></span></p> <p class="MsoNormal" style="margin-left: 60.55pt; text-align: justify; text-indent: -60.55pt; line-height: 150%;font-family:arial;"><!--[if !supportLists]--><span style="font-size:85%;"><b style=""><span style="line-height: 150%;"><span style=""><span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;"> </span>1.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;"> </span></span></span></b><span style="line-height: 150%;">Se echa a suerte para saber que jugador empieza la partida. Esto se puede realizar con una moneda.<o:p></o:p></span></span><!--[endif]--></p> <p class="MsoNormal" style="margin-left: 60.55pt; text-align: justify; text-indent: -60.55pt; line-height: 150%;font-family:arial;"><!--[if !supportLists]--><span style="font-size:85%;"><b style=""><span style="line-height: 150%;"><span style=""><span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;"> </span>2.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;"> </span></span></span></b><span style="line-height: 150%;">Cada jugador, en su turno, puede: escoger dos números de distintos subconjuntos y en este caso realizará una sustracción por ser números con diferentes signos; o seleccionar dos números de un mismo subconjunto y realizar la adición, teniendo en cuenta que se conserva el mismo signo; y luego procede a tachar el resultado en la tabla numérica.<o:p></o:p></span></span><!--[endif]--></p> <p class="MsoNormal" style="margin-left: 60.55pt; text-align: justify; text-indent: -60.55pt; line-height: 150%;"><span style=";font-family:arial;font-size:85%;" ><span style="line-height: 150%;"><span style=""> </span>Por ejemplo, el jugador A ha escogido el número 18 del subconjunto Z<sup>+ </sup>y el número -12 del subconjunto Z<sup>-<span style=""> </span></sup>, por lo tanto deberá realizar una sustracción, cuyo<span style=""> </span>resultado es 6, y tacharlo en la tabla numérica.</span></span></p><p class="MsoNormal" style="margin-left: 60.55pt; text-align: justify; text-indent: -60.55pt; line-height: 150%;"><span style=";font-family:arial;font-size:85%;" ><b style=""><span style="line-height: 150%;"><span style="">3.<span style="font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-size-adjust: none; font-stretch: normal;"> </span></span></span></b></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:10pt;" ><span style=";font-family:arial;font-size:85%;" >Gana la partida el primer jugador que consiga tachar tres números que estén en línea recta (horizontal, vertical, diagonal).</span><o:p></o:p></span></p>Wolmarisabel Prato Ghttp://www.blogger.com/profile/05974626467435797485noreply@blogger.com0tag:blogger.com,1999:blog-4847056619699412384.post-70455087489396500542010-07-13T15:25:00.000-07:002010-07-13T15:34:53.978-07:00,,,,<meta equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CUsers%5CIstore%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><link rel="themeData" href="file:///C:%5CUsers%5CIstore%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx"><link 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mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Calibri","sans-serif";} </style> <![endif]--> <p class="MsoNormal" style="margin-left: 212.6pt; text-align: center; line-height: normal; font-style: italic;font-family:arial;" align="center"><span style="font-size:78%;">“El investigador en matemática requiere de imaginación, curiosidad, disciplina y dedicación.”<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 212.6pt; text-align: right; line-height: normal;font-family:arial;" align="right"><span style="font-size:78%;">GUSTAVO <span style=""> </span>PONCE <span style=""> </span>RUGERO<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 212.6pt; text-align: right; line-height: normal;" align="right"><span style=";font-family:";font-size:9pt;" ><span style="font-size:78%;"><span style="font-family:arial;">Matemático venezolano</span></span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 212.6pt; text-align: right; line-height: normal;" align="right"><span style=";font-family:";font-size:9pt;" ><o:p> </o:p></span></p> Wolmarisabel Prato Ghttp://www.blogger.com/profile/05974626467435797485noreply@blogger.com0