{"id":10702,"date":"2012-10-20T19:30:31","date_gmt":"2012-10-20T18:30:31","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10702"},"modified":"2022-01-20T01:16:40","modified_gmt":"2022-01-20T01:16:40","slug":"o-diametro-de-jupiter","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10702","title":{"rendered":"O di\u00e2metro de J\u00fapiter"},"content":{"rendered":"<p><ul id='GTTabs_ul_10702' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10702' class='GTTabs_curr'><a  id=\"10702_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10702' ><a  id=\"10702_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_10702'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A medida do di\u00e2metro de Merc\u00fario \u00e9, aproximadamente, $5 \\times {10^3}$ km.<\/p>\n<p>Escreve a medida do di\u00e2metro de J\u00fapiter na forma de um produto de um n\u00famero por uma pot\u00eancia de base $10$, sabendo que \u00e9 $28$ vezes maior.<\/p>\n<div id=\"attachment_10706\" style=\"width: 610px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10706\" data-attachment-id=\"10706\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=10706\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas.jpg\" data-orig-size=\"969,410\" 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;1350758169&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=\"Planetas do Sistema Solar\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas.jpg\" class=\"  wp-image-10706\" title=\"Planetas do Sistema Solar\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas.jpg\" alt=\"\" width=\"600\" height=\"254\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas.jpg 969w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas-300x126.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas-150x63.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/planetas-400x169.jpg 400w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><p id=\"caption-attachment-10706\" class=\"wp-caption-text\">Planetas do Sistema Solar<br \/>(As dimens\u00f5es n\u00e3o est\u00e3o \u00e0 escala)<\/p><\/div>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10702' onClick='GTTabs_show(1,10702)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10702'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Ora, ${d_{Merc\u00fario}} = 5 \\times {10^3}$ km.<\/p>\n<p>Logo, ${d_{J\u00fapiter}} = 28 \\times {d_{Merc\u00fario}} = 28 \\times \\left( {5 \\times {{10}^3}} \\right) = \\left( {28 \\times 5} \\right) \\times {10^3} = 140 \\times {10^3} = 14 \\times {10^4} = 1,4 \\times {10^5}$ km.<\/p>\n<\/p>\n<div id=\"attachment_10711\" style=\"width: 730px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10711\" data-attachment-id=\"10711\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=10711\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System.jpg\" data-orig-size=\"972,315\" 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;1350763789&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=\"Planets of the Solar System\" data-image-description=\"&lt;p&gt;Planetas do Sistema Solar (dimens\u00f5es \u00e0 escala)&lt;\/p&gt;\n\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System.jpg\" class=\"  wp-image-10711\" title=\"Planets of the Solar System\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System.jpg\" alt=\"\" width=\"720\" height=\"233\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System.jpg 972w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System-300x97.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System-150x48.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/Planets-of-the-Solar-System-400x129.jpg 400w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/a><p id=\"caption-attachment-10711\" class=\"wp-caption-text\">Planetas do Sistema Solar (dimens\u00f5es \u00e0 escala)<\/p><\/div>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10702' onClick='GTTabs_show(0,10702)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A medida do di\u00e2metro de Merc\u00fario \u00e9, aproximadamente, $5 \\times {10^3}$ km. Escreve a medida do di\u00e2metro de J\u00fapiter na forma de um produto de um n\u00famero por uma pot\u00eancia de&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20721,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,142],"series":[],"class_list":["post-10702","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-potencias"],"views":2446,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag028-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10702","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=10702"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10702\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20721"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10702"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10702"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10702"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10702"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}