{"id":201,"date":"2023-06-24T06:40:48","date_gmt":"2023-06-24T06:40:48","guid":{"rendered":"https:\/\/physigeek.com\/pt\/arredondamento-e-truncamento\/"},"modified":"2023-06-24T06:40:48","modified_gmt":"2023-06-24T06:40:48","slug":"arredondamento-e-truncamento","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/arredondamento-e-truncamento\/","title":{"rendered":"Arredondamento e truncamento"},"content":{"rendered":"<p>Este artigo explica a diferen\u00e7a entre arredondamento e truncamento. Al\u00e9m disso, voc\u00ea pode aproximar n\u00fameros com qualquer m\u00e9todo usando a calculadora online no final. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Diferencia-entre-el-redondeo-y-el-truncamiento\"><\/span> Diferen\u00e7a entre arredondamento e truncamento<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Arredondamento e truncamento s\u00e3o dois m\u00e9todos de aproxima\u00e7\u00e3o de n\u00fameros decimais.<\/p>\n<p> <strong>A diferen\u00e7a entre arredondamento e truncamento<\/strong> \u00e9 que ao arredondar um n\u00famero, o \u00faltimo d\u00edgito significativo pode aumentar 1 ou permanecer o mesmo, enquanto no caso de truncamento, o \u00faltimo d\u00edgito significativo permanece sempre o mesmo.<\/p>\n<p> Assim, ao aproximar um n\u00famero, o resultado pode variar dependendo do m\u00e9todo escolhido. \u00c0s vezes, a aproxima\u00e7\u00e3o ser\u00e1 a mesma em ambos os m\u00e9todos, mas \u00e0s vezes o n\u00famero aproximado pode ser diferente dependendo do uso de arredondamento ou truncamento.<\/p>\n<p> Cada m\u00e9todo de aproxima\u00e7\u00e3o \u00e9 explicado em detalhes abaixo.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Redondeo\"><\/span> Redondo<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> No <strong>arredondamento<\/strong> de n\u00fameros decimais, todas as casas decimais posteriores \u00e0 \u00faltima casa decimal significativa s\u00e3o eliminadas e, al\u00e9m disso, a casa decimal para a qual se deseja arredondar \u00e9 aumentada de 1 ou mantida igual, conforme o caso:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Se a casa decimal ap\u00f3s a \u00faltima casa decimal for maior ou igual a 5, a \u00faltima casa decimal ser\u00e1 aumentada em 1 ( <strong>arredondado por excesso ou por excesso<\/strong> ).<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Se a casa decimal ap\u00f3s a \u00faltima casa decimal for menor que 5, a \u00faltima casa decimal permanece a mesma ( <strong>arredondada para cima ou para baixo<\/strong> ).<\/span><\/li>\n<\/ul>\n<p> Por exemplo, o n\u00famero decimal 3,14159265 arredondado para d\u00e9cimos \u00e9 3,1 porque a pr\u00f3xima casa decimal (4) \u00e9 menor que 5.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cb8fd7a4232dad6a3bc1e0c62b307b48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 3.14159265 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 3.1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"259\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Por outro lado, se arredondarmos o n\u00famero decimal 52,84917 para o cent\u00e9simo, obtemos 52,85, pois a pr\u00f3xima casa decimal (9) \u00e9 maior que 5.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-726107f137233116828d1f13f68c5dd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 52,84917 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 52,85\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"265\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Aqui est\u00e3o outros <strong>exemplos de arredondamento de n\u00fameros decimais<\/strong> :<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredondado para o d\u00e9cimo mais pr\u00f3ximo de 445,945 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 445,9<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredondado para o cent\u00e9simo mais pr\u00f3ximo de 7,03522 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 7,04<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Arredondar para mil\u00e9simos de 39,802719 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 39,803<\/span><\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Truncamiento\"><\/span>truncamento<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ao <strong>truncar,<\/strong> o n\u00famero de casas decimais \u00e9 reduzido eliminando aquelas que s\u00e3o menos significativas. Em outras palavras, o truncamento consiste em deletar os d\u00edgitos \u00e0 direita do d\u00edgito que se deseja truncar.<\/p>\n<p> Por exemplo, quando arredondamos o n\u00famero 65,71834 truncando para cent\u00e9simos obtemos o n\u00famero 65,71, pois basta retirar as casas decimais ap\u00f3s os cent\u00e9simos (834).<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fa5a9534b3756e3e86f62f3e4c281cf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 65,71834 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 65,71\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"265\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Portanto, ao truncar um n\u00famero, n\u00e3o importa se ap\u00f3s a \u00faltima casa decimal significativa existe um n\u00famero maior, igual ou menor que 5, pois todas as casas decimais subsequentes devem sempre ser removidas.<\/p>\n<p> Se voc\u00ea olhar o \u00faltimo exemplo, se tiv\u00e9ssemos arredondado o n\u00famero 65,71834 ter\u00edamos obtido 65,72. No entanto, usando truncamento obtemos 65,71. Concluindo, o n\u00famero aproximado pode ser diferente dependendo do m\u00e9todo de aproxima\u00e7\u00e3o escolhido.<\/p>\n<p> Abaixo voc\u00ea pode ver mais <strong>exemplos de aproxima\u00e7\u00e3o de truncamento<\/strong> :<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Truncamento por unidade 9 634 <strong><span style=\"color:#4fd12f\">\u2192<\/span><\/strong> 9<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Truncamento pelo d\u00e9cimo de 4,13558 <strong><span style=\"color:#4fd12f\">\u2192<\/span><\/strong> 4,1<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Truncamento ao cent\u00e9simo de 71,0442 <strong><span style=\"color:#4fd12f\">\u2192<\/span><\/strong> 71,04<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculadora-de-redondeo-y-truncamiento\"><\/span> Calculadora de arredondamento e truncamento<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Voc\u00ea pode usar a seguinte calculadora online para aproximar qualquer n\u00famero arredondando ou truncando. Basta selecionar o m\u00e9todo de aproxima\u00e7\u00e3o, inserir o n\u00famero a ser aproximado e selecionar o d\u00edgito ao qual deseja aproximar o n\u00famero.<\/p>\n<p> Os n\u00fameros devem ser inseridos usando o ponto final como ponto decimal, por exemplo 24.08. <\/p>\n<form action=\"\" method=\"post\">\n<div style=\"line-height:50px; background:#FEF9E7; padding:15px; border:2px solid #4FD12F; border-radius:15px; margin-bottom:20px\">\n<ul style=\"color:#4FD12F\">\n<li> <span style=\"color:#000000;font-weight: normal;\">M\u00e9todo de aproxima\u00e7\u00e3o: <select name=\"aproximacion\" style=\"border:1.5px solid #4FD12F; border-radius:5px;  padding:7px; color:#000000; width: 150px\"><option value=\"redondeo\">Arredondamento,<\/option><option value=\"truncamiento\">Truncamento<\/option><\/select><\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">N\u00famero a arredondar: <input name=\"datos\" style=\"border:1.5px solid #4FD12F; border-radius:5px;  padding:7px; color:#000000; width: 100px\" placeholder=\"5.1869\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero a aproximar aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\"><select name=\"cifra\" style=\"border:1.5px solid #4FD12F; border-radius:5px;  padding:7px; color:#000000; width: 220px\">Algarismo de arredondamento:<option value=\"0decimales\">Unidade (0 casas decimais)<\/option><option value=\"1decimales\">D\u00e9cimos (1 casa decimal)<\/option><option value=\"2decimales\">Cent\u00e9simos (2 casas decimais) Mil\u00e9simos<\/option><option value=\"4decimales\">(<\/option><option value=\"3decimales\">3 casas decimais)<\/option>Dez mil\u00e9simos (4 casas decimais)<option value=\"5decimales\">Cent\u00e9simos<\/option>(5 casas decimais)<option value=\"6decimales\">Milion\u00e9simos (6<\/option>casas decimais)<option value=\"7decimales\">Dez milion\u00e9simos (7 casas decimais)<\/option><option value=\"8decimales\">Centenas de milion\u00e9simos (8 decimais)<\/option><option value=\"9decimales\">Bilion\u00e9simos (9 decimais)<\/option><option value=\"10decimales\">D\u00e9cimos bilion\u00e9simos (10 decimais)<\/option><\/select><\/span> <\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"font-size:105%; border-radius:30px; margin-top: 20px; margin-bottom:20px\" type=\"submit\" name=\"submit\" value=\"Redondo\"><\/div>\n<\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica a diferen\u00e7a entre arredondamento e truncamento. Al\u00e9m disso, voc\u00ea pode aproximar n\u00fameros com qualquer m\u00e9todo usando a calculadora online no final. Diferen\u00e7a entre arredondamento e truncamento Arredondamento e truncamento s\u00e3o dois m\u00e9todos de aproxima\u00e7\u00e3o de n\u00fameros decimais. A diferen\u00e7a entre arredondamento e truncamento \u00e9 que ao arredondar um n\u00famero, o \u00faltimo d\u00edgito &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/arredondamento-e-truncamento\/\"> <span class=\"screen-reader-text\">Arredondamento e truncamento<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-201","post","type-post","status-publish","format-standard","hentry","category-numeros"],"yoast_head":"<!-- This site is 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