{"id":10281,"date":"2012-10-13T12:58:44","date_gmt":"2012-10-13T11:58:44","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10281"},"modified":"2021-12-31T23:16:13","modified_gmt":"2021-12-31T23:16:13","slug":"indica-a-propriedade-da-multiplicacao-utilizada-em-cada-uma-das-igualdades","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10281","title":{"rendered":"Indica a propriedade da multiplica\u00e7\u00e3o utilizada em cada uma das igualdades"},"content":{"rendered":"<p><ul id='GTTabs_ul_10281' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10281' class='GTTabs_curr'><a  id=\"10281_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10281' ><a  id=\"10281_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_10281'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Indica a propriedade da multiplica\u00e7\u00e3o utilizada em cada uma das igualdades:<\/p>\n<ol>\n<li>$ &#8211; 5 \\times 3 = 3 \\times \\left( { &#8211; 5} \\right)$<\/li>\n<li>$2 \\times \\left[ {5 \\times \\left( { &#8211; 2} \\right)} \\right] = \\left( {2 \\times 5} \\right) \\times \\left( { &#8211; 2} \\right)$<\/li>\n<li>$7 \\times \\left( { &#8211; 5} \\right) + 7 \\times 6 = 7 \\times \\left( { &#8211; 5 + 6} \\right)$<\/li>\n<li>$0 \\times \\left( { &#8211; 3} \\right) = 0$<\/li>\n<li>$\\left( { &#8211; 1} \\right) \\times 1 =\u00a0 &#8211; 1$<\/li>\n<li>$\\left[ {\\left( { &#8211; 2} \\right) + \\left( { &#8211; 3} \\right)} \\right] \\times 5 =\u00a0 &#8211; 2 \\times 5 + \\left( { &#8211; 3} \\right) \\times 5$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10281' onClick='GTTabs_show(1,10281)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10281'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>$$ &#8211; 5 \\times 3 = 3 \\times \\left( { &#8211; 5} \\right)$$<br \/>\nFoi aplicada a <span style=\"text-decoration: underline;\">propriedade comutativa<\/span> da multiplica\u00e7\u00e3o: <span style=\"color: #0000ff;\">$a \\times b = b \\times a$<\/span>.<br \/>\n\u00ad<\/li>\n<li>$$2 \\times \\left[ {5 \\times \\left( { &#8211; 2} \\right)} \\right] = \\left( {2 \\times 5} \\right) \\times \\left( { &#8211; 2} \\right)$$<br \/>\nFoi aplicada a <span style=\"text-decoration: underline;\">propriedade associativa<\/span> da multiplica\u00e7\u00e3o: <span style=\"color: #0000ff;\">$\\left( {a \\times b} \\right) \\times c = a \\times \\left( {b \\times c} \\right)$<\/span>.<br \/>\n\u00ad<\/li>\n<li>$$7 \\times \\left( { &#8211; 5} \\right) + 7 \\times 6 = 7 \\times \\left( { &#8211; 5 + 6} \\right)$$<br \/>\nFoi aplicada a <span style=\"text-decoration: underline;\">propriedade distributiva<\/span> da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o: <span style=\"color: #0000ff;\">$a \\times \\left( {b + c} \\right) = a \\times b + a \\times c$<\/span>.<br \/>\n\u00ad<\/li>\n<li>$$0 \\times \\left( { &#8211; 3} \\right) = 0$$<br \/>\nFoi aplicada a propriedade da <span style=\"text-decoration: underline;\">exist\u00eancia de elemento absorvente<\/span> da multiplica\u00e7\u00e3o (o n\u00famero $0$): <span style=\"color: #0000ff;\">$a \\times 0 = 0 \\times a = 0$<\/span>.<br \/>\n\u00ad<\/li>\n<li>$$\\left( { &#8211; 1} \\right) \\times 1 =\u00a0 &#8211; 1$$<br \/>\nFoi aplicada a propriedade da<span style=\"text-decoration: underline;\"> exist\u00eancia de elemento neutro<\/span> da multiplica\u00e7\u00e3o (o n\u00famero $1$): <span style=\"color: #0000ff;\">$a \\times 1 = 1 \\times a = a$<\/span>.<br \/>\n\u00ad<\/li>\n<li>$$\\left[ {\\left( { &#8211; 2} \\right) + \\left( { &#8211; 3} \\right)} \\right] \\times 5 =\u00a0 &#8211; 2 \\times 5 + \\left( { &#8211; 3} \\right) \\times 5$$<br \/>\nFoi aplicada a <span style=\"text-decoration: underline;\">propriedade distributiva<\/span> da multiplica\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 adi\u00e7\u00e3o: <span style=\"color: #0000ff;\">$a \\times \\left( {b + c} \\right) = a \\times b + a \\times c$<\/span>.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10281' onClick='GTTabs_show(0,10281)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Indica a propriedade da multiplica\u00e7\u00e3o utilizada em cada uma das igualdades: $ &#8211; 5 \\times 3 = 3 \\times \\left( { &#8211; 5} \\right)$ $2 \\times \\left[ {5 \\times \\left( {&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19173,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,320,327],"series":[],"class_list":["post-10281","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-multiplicacao","tag-propriedades-da-multiplicacao"],"views":2249,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat64.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10281"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10281\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19173"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10281"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}