{"id":10458,"date":"2012-10-14T03:46:37","date_gmt":"2012-10-14T02:46:37","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10458"},"modified":"2022-01-20T00:25:45","modified_gmt":"2022-01-20T00:25:45","slug":"o-maior-produto","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10458","title":{"rendered":"O maior produto"},"content":{"rendered":"<p><ul id='GTTabs_ul_10458' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10458' class='GTTabs_curr'><a  id=\"10458_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10458' ><a  id=\"10458_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_10458'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O produto $371 \\times 48$ foi obtido usando os algarismos $1$, $3$, $4$, $7$ e $8$.<\/p>\n<p>Ser\u00e1 o maior produto que podemos obter com aqueles algarismos?<\/p>\n<p>Se n\u00e3o, qual o maior produto?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10458' onClick='GTTabs_show(1,10458)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10458'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Ora, $371 \\times 48 = 17808$.<\/p>\n<p>Mas, $371 \\times 84 = 31164$.<\/p>\n<p>Logo, \u00a0$371 \\times 48 = 17808$ n\u00e3o \u00e9 o maior produto que podemos obter com aqueles 5 algarismos.<br \/>\n\u00ad<\/p>\n<div id=\"attachment_10463\" style=\"width: 370px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10463\" data-attachment-id=\"10463\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=10463\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo.jpg\" data-orig-size=\"360,354\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1350185140&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Folha de c\u00e1lculo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo.jpg\" class=\"wp-image-10463 size-full\" title=\"Folha de c\u00e1lculo\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo.jpg\" alt=\"\" width=\"360\" height=\"354\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo.jpg 360w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo-300x295.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/folhacalculo-150x147.jpg 150w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><p id=\"caption-attachment-10463\" class=\"wp-caption-text\">Folha de c\u00e1lculo<\/p><\/div>\n<p>H\u00e1 duas possibilidades:<\/p>\n<ol>\n<li>um fator com 4 algarismos e outro fator com 1 algarismo;<\/li>\n<li>um fator com 3 algarismos e outro fator com 2 algarismos.<\/li>\n<\/ol>\n<p>Por outro lado, sabemos que quanto maiores forem os fatores, maior ser\u00e1 o produto.<\/p>\n<p>Assim, utilizando uma folha de c\u00e1lculo podemos testar os produtos poss\u00edveis de construir nestas condi\u00e7\u00f5es.<br \/>\n\u00ad<\/p>\n<p>Portanto, conclui-se que $741 \\times 83 = 61503$ \u00e9 o maior produto que se pode obter com aqueles 5 algarismos.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10458' onClick='GTTabs_show(0,10458)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O produto $371 \\times 48$ foi obtido usando os algarismos $1$, $3$, $4$, $7$ e $8$. Ser\u00e1 o maior produto que podemos obter com aqueles algarismos? Se n\u00e3o, qual o maior&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20711,"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],"series":[],"class_list":["post-10458","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"],"views":1138,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag019-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10458","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=10458"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10458\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20711"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10458"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}