﻿{"id":116170,"date":"2020-01-29T18:21:53","date_gmt":"2020-01-29T17:21:53","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/algebra\/expresiones-algebraicas.html"},"modified":"2024-05-27T17:40:23","modified_gmt":"2024-05-27T15:40:23","slug":"expresiones-algebraicas","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\/expresiones-algebraicas.html","title":{"rendered":"Expresiones algebraicas"},"content":{"rendered":"<section style=\"\">\n<p class=\"\">Una <strong>expresi\u00f3n algebraica<\/strong> es una combinaci\u00f3n de letras y  n\u00fameros ligadas por los signos de las operaciones: adici\u00f3n, sustracci\u00f3n, multiplicaci\u00f3n, divisi\u00f3n y potenciaci\u00f3n. <\/p>\n<p class=\"\">Las <strong>expresiones algebraicas<\/strong> nos permiten, por ejemplo, hallar \u00e1reas y vol\u00famenes.<\/p>\n<p class=\"actividades_2_g\">Longitud de la circunferencia: L  = 2<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/expresiones-algebraicas-1.gif\" alt=\"Explicaciones y ejemplos de expresiones algebraicas - 1\" \/>r, donde r es el radio de la circunferencia.<\/p>\n<p class=\"actividades_2_g\">\u00c1rea del cuadrado: S = l<sup>2<\/sup>, donde l es el lado del cuadrado.<\/p>\n<p class=\"actividades_2_g\">Volumen del cubo: V  = a<sup>3<\/sup>, donde a es la arista del cubo.<\/p>\n<h3 class=\"r\">Expresiones algebraicas comunes<\/h3>\n<p class=\"\">El <strong>doble o duplo<\/strong> de un n\u00famero: <span class=\"sol\">2x<\/span><\/p>\n<p class=\"\">El <strong>triple<\/strong> de un n\u00famero: <span class=\"sol\">3x <\/span><\/p>\n<p class=\"\">El <strong>cu\u00e1druplo<\/strong> de un n\u00famero: <span class=\"sol\">4x <\/span> <\/p>\n<p class=\"\">La <strong>mitad<\/strong> de un n\u00famero: <span class=\"sol\">x\/2.<\/span><\/p>\n<p class=\"\">Un <strong>tercio<\/strong> de un n\u00famero: <span class=\"sol\">x\/3. <\/span> <\/p>\n<p class=\"\">Un <strong>cuarto<\/strong> de un n\u00famero: <span class=\"sol\">x\/4.<\/span><\/p>\n<p class=\"\">Un n\u00famero es <strong>proporcional<\/strong> a 2, 3, 4, ...: <span class=\"sol\">2x, 3x, 4x,..<\/span><\/p>\n<p class=\"\">Un n\u00famero al <strong>cuadrado<\/strong>: <span class=\"sol\">x<sup>2<\/sup><\/span><\/p>\n<p class=\"\">Un n\u00famero al <strong>cubo<\/strong>: <span class=\"sol\">x<sup>3<\/sup><\/span><\/p>\n<p class=\"\">Dos n\u00fameros <strong>consecutivos<\/strong>: <span class=\"sol\">x <\/span> y <span class=\"sol\">x + 1. <\/span><\/p>\n<p class=\"\">Dos n\u00fameros <strong>consecutivos pares<\/strong>: <span class=\"sol\">2x <\/span> y <span class=\"sol\">2x + 2. <\/span><\/p>\n<p class=\"\">Dos n\u00fameros <strong>consecutivos impares<\/strong>: <span class=\"sol\">2x + 1 <\/span> y <span class=\"sol\">2x + 3<\/span>.<\/p>\n<p class=\"\"><strong>Descomponer <\/strong>24 <strong>en dos partes<\/strong>: <span class=\"sol\">x <\/span> y <span class=\"sol\">24 \u2212 x. <\/span> <\/p>\n<p class=\"\">La <strong>suma<\/strong> de dos n\u00fameros es 24:<span class=\"sol\"> x <\/span> y <span class=\"sol\">24 \u2212 x. <\/span><\/p>\n<p class=\"\">La <strong>diferencia<\/strong> de dos n\u00fameros es 24: <span class=\"sol\">x <\/span> y <span class=\"sol\">24 + x. <\/span> <\/p>\n<p class=\"\">El<strong> producto<\/strong> de dos n\u00fameros es 24: <span class=\"sol\">x <\/span> y <span class=\"sol\">24\/x. <\/span> <\/p>\n<p class=\"\">El <strong>cociente<\/strong> de dos n\u00fameros es 24; <span class=\"sol\">x <\/span> y <span class=\"sol\">24 \u00b7 x. <\/span><\/p>\n<h3 class=\"r\" id=\"val\">Valor num\u00e9rico de una expresi\u00f3n algebraica<\/h3>\n<p class=\"\"> El <strong>valor n\u00famerico<\/strong> de una <strong>expresi\u00f3n algebraica<\/strong>, para un determinado valor, es el n\u00famero que se obtiene al sustituir en \u00e9sta por  valor num\u00e9rico dado y realizar las operaciones indicadas.<\/p>\n<p class=\"actividades_2_r_ir\"><span> L(r)  = 2<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/expresiones-algebraicas-2.gif\" alt=\"Explicaciones y ejemplos de expresiones algebraicas - 2\" \/>r<\/span><\/p>\n<p class=\"actividades_2_g_ir\">r  = 5 cm.     <span>L  (5)= 2<strong> \u00b7 <\/strong> <\/span><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/expresiones-algebraicas-3.gif\" alt=\"Explicaciones y ejemplos de expresiones algebraicas - 3\"  height=\"17\" style=\"vertical-align:middle;\" \/><strong> \u00b7 <\/strong>\t\t\t\t\t\t    5 = 10<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/expresiones-algebraicas-4.gif\" alt=\"Explicaciones y ejemplos de expresiones algebraicas - 4\" width=\"18\" \/> cm<\/p>\n<p class=\"actividades_2_r_ir\"><span class=\"actividades_2_g\">S(l) = l<sup>2<\/sup><\/span><\/p>\n<p class=\"actividades_2_g_ir\">l  = 5 cm   \t<span>A(5) = 5<sup>2<\/sup> = 25   cm<sup>2<\/sup><\/span><\/p>\n<p class=\"actividades_2_r_ir\"><span class=\"actividades_2_g\">V(a)  = a<sup>3<\/sup><\/span><\/p>\n<p class=\"actividades_2_g_ir\">a =  5 cm   <span>\u00a0V(5)  = 5<sup>3<\/sup> <\/span>= 125 cm<sup>3<\/sup><\/p>\n<h3 class=\"r\" style=\"margin-top:30px;\">Tipos de expresiones algebraicas<\/h3>\n<h2 class=\"t\">Monomio<\/h2>\n<p class=\"\">Un <strong>monomio<\/strong> es una <strong>expresi\u00f3n algebraica<\/strong> formada por <strong>un solo t\u00e9rmino.<\/strong><\/p>\n<h2 class=\"t\">Binomio<\/h2>\n<p class=\"\">Un <strong>binomio<\/strong> es una <strong>expresi\u00f3n algebraica<\/strong> formada por <strong>dos t\u00e9rminos.<\/strong><\/p>\n<h2 class=\"t\">Trinomio<\/h2>\n<p class=\"\">Un <strong>trinomio<\/strong> es una <strong>expresi\u00f3n algebraica<\/strong> formada por <strong>tres t\u00e9rminos.<\/strong><\/p>\n<h2 class=\"t\">Polinomio<\/h2>\n<p class=\"\">Un <strong>polinomio<\/strong> es una <strong>expresi\u00f3n algebraica<\/strong> formada por <strong>m\u00e1s de un t\u00e9rmino.<\/strong><\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Una expresi\u00f3n algebraica es una combinaci\u00f3n de letras y n\u00fameros ligadas por los signos de las operaciones: adici\u00f3n, sustracci\u00f3n, multiplicaci\u00f3n, divisi\u00f3n y potenciaci\u00f3n. Las expresiones algebraicas nos permiten, por ejemplo, hallar \u00e1reas y vol\u00famenes. Longitud de la circunferencia: L = 2r, donde r es el radio de la circunferencia. \u00c1rea del cuadrado: S = l2, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[378],"tags":[375],"class_list":["post-116170","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-e"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">\u00c1lgebra<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">\u00c1lgebra<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">e<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">e<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 2 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 27 mayo 2024"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 21 min","modified":"Actualizado el 27 mayo 2024 17 h 40 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=116170"}],"version-history":[{"count":1,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116170\/revisions"}],"predecessor-version":[{"id":136012,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116170\/revisions\/136012"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=116170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=116170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=116170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}