{"id":22682,"date":"2022-10-22T21:49:31","date_gmt":"2022-10-22T20:49:31","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22682"},"modified":"2022-10-22T22:49:20","modified_gmt":"2022-10-22T21:49:20","slug":"a-clara-o-hugo-e-a-marta","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22682","title":{"rendered":"A Clara, o Hugo e a Marta"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22682' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22682' class='GTTabs_curr'><a  id=\"22682_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22682' ><a  id=\"22682_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_22682'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A Clara, o Hugo e a Marta tentaram determinar o valor num\u00e9rico da seguinte express\u00e3o:<\/p>\n<p>\\[{\\left[ {{{\\left( { &#8211; 2} \\right)}^{ &#8211; 4}}} \\right]^{ &#8211; 3}} \\div {2^{14}} &#8211; {\\left( {\\frac{1}{3} &#8211; {6^0}} \\right)^2}\\]<\/p>\n<p>Cada um obteve o seguinte valor:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22686\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=22686\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/8_Pag040-3.png\" data-orig-size=\"464,93\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag040-3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/8_Pag040-3.png\" class=\"aligncenter wp-image-22686\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/8_Pag040-3.png\" alt=\"\" width=\"420\" height=\"84\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/8_Pag040-3.png 464w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/8_Pag040-3-300x60.png 300w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/p>\n<p>Faz como os tr\u00eas amigos e diz qual deles est\u00e1 correto.<br \/>Apresenta todos os teus c\u00e1lculos.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22682' onClick='GTTabs_show(1,22682)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22682'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<p>Aplicando, sempre que poss\u00edvel, as regras operat\u00f3rias das pot\u00eancias, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{{\\left[ {{{\\left( { &#8211; 2} \\right)}^{ &#8211; 4}}} \\right]}^{ &#8211; 3}} \\div {2^{14}} &#8211; {{\\left( {\\frac{1}{3} &#8211; {6^0}} \\right)}^2}}&amp; = &amp;{{{\\left( { &#8211; 2} \\right)}^{12}} \\div {2^{14}} &#8211; {{\\left( {\\frac{1}{3} &#8211; 1} \\right)}^2}}\\\\{}&amp; = &amp;{{2^{12}} \\div {2^{14}} &#8211; {{\\left( { &#8211; \\frac{2}{3}} \\right)}^2}}\\\\{}&amp; = &amp;{{2^{ &#8211; 2}} &#8211; \\frac{4}{9}}\\\\{}&amp; = &amp;{{{\\left( {\\frac{1}{2}} \\right)}^2} &#8211; \\frac{4}{9}}\\\\{}&amp; = &amp;{\\frac{1}{4} &#8211; \\frac{4}{9}}\\\\{}&amp; = &amp;{\\frac{9}{{36}} &#8211; \\frac{{16}}{{36}}}\\\\{}&amp; = &amp;{ &#8211; \\frac{7}{{36}}}\\end{array}\\]<\/p>\n<p>Quem est\u00e1 certo \u00e9 o Hugo.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22682' onClick='GTTabs_show(0,22682)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A Clara, o Hugo e a Marta tentaram determinar o valor num\u00e9rico da seguinte express\u00e3o: \\[{\\left[ {{{\\left( { &#8211; 2} \\right)}^{ &#8211; 4}}} \\right]^{ &#8211; 3}} \\div {2^{14}} &#8211; {\\left( {\\frac{1}{3}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":22685,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,337],"series":[],"class_list":["post-22682","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-regras-operatorias-de-potencias"],"views":217,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/10\/8_Pag040-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22682","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=22682"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22682\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/22685"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22682"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22682"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22682"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22682"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}