{"id":10515,"date":"2012-10-15T00:53:18","date_gmt":"2012-10-14T23:53:18","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10515"},"modified":"2022-01-20T00:38:13","modified_gmt":"2022-01-20T00:38:13","slug":"pensei-num-numero-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10515","title":{"rendered":"Pensei num n\u00famero"},"content":{"rendered":"<p><ul id='GTTabs_ul_10515' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10515' class='GTTabs_curr'><a  id=\"10515_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10515' ><a  id=\"10515_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_10515'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<div id=\"attachment_10516\" style=\"width: 304px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10516\" data-attachment-id=\"10516\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=10516\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\" data-orig-size=\"490,412\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&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=\"N\u00famero\" data-image-description=\"&lt;p&gt;Qual \u00e9 o n\u00famero?&lt;\/p&gt;\n\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\" class=\" wp-image-10516\" title=\"N\u00famero\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\" alt=\"\" width=\"294\" height=\"247\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg 490w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero-300x252.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero-150x126.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero-400x336.jpg 400w\" sizes=\"auto, (max-width: 294px) 100vw, 294px\" \/><\/a><p id=\"caption-attachment-10516\" class=\"wp-caption-text\">Qual \u00e9 o n\u00famero?<\/p><\/div>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10515' onClick='GTTabs_show(1,10515)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10515'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<div id=\"attachment_10516\" style=\"width: 304px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10516\" data-attachment-id=\"10516\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=10516\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\" data-orig-size=\"490,412\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&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=\"N\u00famero\" data-image-description=\"&lt;p&gt;Qual \u00e9 o n\u00famero?&lt;\/p&gt;\n\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\" class=\" wp-image-10516\" title=\"N\u00famero\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg\" alt=\"\" width=\"294\" height=\"247\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero.jpg 490w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero-300x252.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero-150x126.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/penseinumero-400x336.jpg 400w\" sizes=\"auto, (max-width: 294px) 100vw, 294px\" \/><\/a><p id=\"caption-attachment-10516\" class=\"wp-caption-text\">Qual \u00e9 o n\u00famero?<\/p><\/div>\n<p>\u00ad<\/p>\n<table class=\" aligncenter\" style=\"width: 80%;\" border=\"0\" align=\"center\">\n<caption>Tradu\u00e7\u00e3o do problema em linguagem matem\u00e1tica:<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">Pensei num n\u00famero<\/td>\n<td><\/td>\n<td>$A$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">adicionei-lhe $30$<\/td>\n<td><\/td>\n<td>$A + 30$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">dividi o resultado por $-5$<\/td>\n<td><\/td>\n<td>$\\left( {A + 30} \\right) \\div \\left( { &#8211; 5} \\right)$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">e obtive $16$<\/td>\n<td><\/td>\n<td>$\\left( {A + 30} \\right) \\div \\left( { &#8211; 5} \\right) = 16$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">Em que n\u00famero pensei?<\/td>\n<td><\/td>\n<td>$A = ?$<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Pretendemos determinar o valor de $A$ que\u00a0verifica a igualdade: \u00a0$\\left( {A + 30} \\right) \\div \\left( { &#8211; 5} \\right) = 16$.<\/p>\n<p>Tendo em considera\u00e7\u00e3o que a multiplica\u00e7\u00e3o \u00e9 a opera\u00e7\u00e3o inversa da divis\u00e3o e que a subtra\u00e7\u00e3o \u00e9 a opera\u00e7\u00e3o inversa da adi\u00e7\u00e3o, vem:<\/p>\n<p>$$\\begin{array}{*{20}{c}} \u00a0 {\\left( {A + 30} \\right) \\div \\left( { &#8211; 5} \\right) = 16} \\\\ \u00a0 {\\left( {A + 30} \\right) = \\left( { &#8211; 5} \\right) \\times 16} \\\\ \u00a0 {A + 30 =\u00a0 &#8211; 80} \\\\ \u00a0 {A =\u00a0 &#8211; 80 &#8211; 30} \\\\ \u00a0 {A =\u00a0 &#8211; 110} \\end{array} $$<\/p>\n<p>Portanto, a menina pensou no n\u00famero $-110$.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10515' onClick='GTTabs_show(0,10515)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20714,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,330,320,319],"series":[],"class_list":["post-10515","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-divisao","tag-multiplicacao","tag-numeros-inteiros-2"],"views":1867,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag022-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10515","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=10515"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10515\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20714"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10515"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}