﻿{"id":115325,"date":"2020-01-29T18:20:46","date_gmt":"2020-01-29T17:20:46","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/aritmetica\/propiedades-multiplicacion.html"},"modified":"2026-10-07T17:43:42","modified_gmt":"2026-10-07T15:43:42","slug":"propiedades-multiplicacion","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\/propiedades-multiplicacion.html","title":{"rendered":"Propiedades de la multiplicaci\u00f3n"},"content":{"rendered":"<section style=\"\">\r\n          \n\n<p class=\"wp-block-paragraph\">La multiplicaci\u00f3n de n\u00fameros naturales y enteros no tiene elemento inverso.<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">La multiplicaci\u00f3n de n\u00fameros racionales, reales y complejos cumple todas las  propiedades.<\/p>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\"><strong> \n\n<h2 class=\"wp-block-heading\">1. <\/h2>\n\nInterna<\/strong>: <\/p>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\">El resultado de <strong>multiplicar dos n\u00fameros<\/strong> es otro <strong>n\u00famero<\/strong>.<\/p>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 b <\/strong><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-la-multiplicaci&oacute;n-1.gif\" alt=\"Explicaciones y ejemplos de propiedades de la multiplicaci&oacute;n - 1\"  height=\"12\" style=\"vertical-align:middle;\" \/><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-la-multiplicaci&oacute;n-2.gif\" alt=\"Explicaciones y ejemplos de propiedades de la multiplicaci&oacute;n - 2\" width=\"17\" \/><\/p>\n\n\r\n                               \r\n                                \n\n<p class=\"wp-block-paragraph\"><strong> \n\n<h2 class=\"wp-block-heading\">2. <\/h2>\n\nAsociativa<\/strong>: <\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">El modo de agrupar los <strong>factores<\/strong> no var\u00eda el resultado.<\/p>\n\n\r\n                          \t\t\n\n<p class=\"wp-block-paragraph\"><strong>(a \u00b7 b) \u00b7 c = a \u00b7 (b \u00b7 c)<\/strong><\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">(2 \u00b7 3) \u00b7 5 = 2\u00b7 (3 \u00b7 5)<\/p>\n\n \r\n                                \n\n<p class=\"wp-block-paragraph\">6 \u00b7 5 = 2 \u00b7 15<\/p>\n\n \r\n                                \n\n<p class=\"wp-block-paragraph\">30 = 30<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\"><strong>\n\n<h2 class=\"wp-block-heading\">3. <\/h2>\n\nConmutativa<\/strong>: <\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">El orden de los <strong>factores<\/strong> no var\u00eda el <strong>producto<\/strong>.<\/p>\n\n\r\n                          \n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 b = b \u00b7 a <\/strong><\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">2 \u00b7 5 = 5 \u00b7 2 <\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">10 = 10 <\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\"><strong>\n\n<h2 class=\"wp-block-heading\">4. <\/h2>\n\nElemento neutro<\/strong>: <\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\"><strong>El 1 es el elemento neutro de la multiplicaci\u00f3n<\/strong>, porque todo n\u00famero multiplicado por \u00e9l da el mismo n\u00famero.<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 1 = a <\/strong><\/p>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\">3 \u00b7 1 = 3<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\"> \n\n<h2 class=\"wp-block-heading\">5.<\/h2>\n\n <strong>Elemento inverso<\/strong>:<\/p>\n\n\r\n\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">Un n\u00famero es <strong>inverso<\/strong> de otro si al multiplicarlos obtenemos como resultado el elemento unidad.<\/p>\n\n\r\n\t\t\t  \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-la-multiplicaci&oacute;n-3.gif\" alt=\"Explicaciones y ejemplos de propiedades de la multiplicaci&oacute;n - 3\"  ><\/p>\n\n\r\n\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/propiedades-de-la-multiplicaci&oacute;n-4.gif\" alt=\"Explicaciones y ejemplos de propiedades de la multiplicaci&oacute;n - 4\"  ><\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\"><strong>\n\n<h2 class=\"wp-block-heading\">6. <\/h2>\n\nDistributiva<\/strong>: <\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">La <strong>multiplicaci\u00f3n<\/strong> de un <strong>n\u00famero <\/strong>por una <strong>suma<\/strong> es igual a la suma de los <strong>multiplicaciones<\/strong> de dicho <strong>n\u00famero <\/strong> por cada uno de los <strong>sumandos<\/strong>.<\/p>\n\n\r\n                          \t\t\n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 (b + c) = a \u00b7 b + a \u00b7 c<\/strong><\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">2 \u00b7 (3 + 5) = 2 \u00b7 3 + 2 \u00b7 5<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">2 \u00b7 8 = 6 + 10<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">16 = 16<\/p>\n\n\r\n                                \r\n                                \n\n<p class=\"wp-block-paragraph\"><strong>\n\n<h2 class=\"wp-block-heading\">7. <\/h2>\n\nSacar factor com\u00fan<\/strong>:<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">Es el proceso inverso a la <strong>propiedad distributiva<\/strong>.<\/p>\n\n\r\n                          \n\n<p class=\"wp-block-paragraph\">Si varios <strong>sumandos<\/strong> tienen un <strong>factor com\u00fan<\/strong>, podemos transformar la <strong>suma<\/strong> en <strong>producto<\/strong> extrayendo dicho <strong>factor<\/strong>.<\/p>\n\n\r\n                          \n\n<p class=\"wp-block-paragraph\"><strong>a \u00b7 b + a \u00b7 c = a \u00b7  (b + c)<\/strong><\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">2 \u00b7 3 + 2 \u00b7 5 = 2 \u00b7 (3 + 5)<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">6 + 10 = 2 \u00b7 8<\/p>\n\n\r\n                                \n\n<p class=\"wp-block-paragraph\">16 = 16<\/p>\n\n\n<\/section>","protected":false},"excerpt":{"rendered":"<p>La multiplicaci\u00f3n de n\u00fameros naturales y enteros no tiene elemento inverso. La multiplicaci\u00f3n de n\u00fameros racionales, reales y complejos cumple todas las propiedades. 1. Interna: El resultado de multiplicar dos n\u00fameros es otro n\u00famero. a \u00b7 b 2. Asociativa: El modo de agrupar los factores no var\u00eda el resultado. (a \u00b7 b) \u00b7 c = [&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":[377],"tags":[363],"class_list":["post-115325","post","type-post","status-publish","format-standard","hentry","category-aritmetica","tag-p"],"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\/aritmetica\" class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">p<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">p<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 2 semanas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 7 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 20 min","modified":"Actualizado el 7 octubre 2026 17 h 43 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115325","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=115325"}],"version-history":[{"count":5,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115325\/revisions"}],"predecessor-version":[{"id":141273,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115325\/revisions\/141273"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=115325"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=115325"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=115325"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}