{"id":145659,"date":"2024-09-27T16:42:50","date_gmt":"2024-09-27T16:42:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=145659"},"modified":"2024-09-27T16:42:52","modified_gmt":"2024-09-27T16:42:52","slug":"write-7-40-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/27\/write-7-40-as-a-decimal\/","title":{"rendered":"Write 7\/40 as a decimal"},"content":{"rendered":"\n<p>Write 7\/40 as a decimal. Use bar notation if necessary<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To convert the fraction ( \\frac{7}{40} ) into a decimal, we can use long division or a calculator. Here\u2019s a step-by-step explanation of the process:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Division Setup<\/h3>\n\n\n\n<p>We need to divide 7 by 40. In long division, we set it up as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>40 goes into 7, which cannot happen since 40 is greater than 7.<\/li>\n\n\n\n<li>Therefore, we extend the division by adding decimal places. We rewrite 7 as 7.000 and proceed with the division.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Long Division Process<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>40 into 70<\/strong>: 40 goes into 70 once. This gives us 1, and we write down 1 after the decimal point.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract ( 40 \\times 1 = 40 ) from 70, leaving us with ( 70 &#8211; 40 = 30 ).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Bring down the next 0<\/strong>: We bring down the next 0, making it 300.<\/li>\n\n\n\n<li><strong>40 into 300<\/strong>: 40 goes into 300 seven times since ( 40 \\times 7 = 280 ).<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract ( 280 ) from ( 300 ), which leaves us with ( 300 &#8211; 280 = 20 ).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Bring down the next 0<\/strong>: We bring down another 0, making it 200.<\/li>\n\n\n\n<li><strong>40 into 200<\/strong>: 40 goes into 200 five times since ( 40 \\times 5 = 200 ).<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract ( 200 ) from ( 200 ), which leaves us with ( 200 &#8211; 200 = 0 ).<\/li>\n<\/ul>\n\n\n\n<p>At this point, the division ends because there is no remainder.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Result<\/h3>\n\n\n\n<p>The decimal representation of ( \\frac{7}{40} ) is ( 0.175 ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>In summary, ( \\frac{7}{40} ) converts to the decimal ( 0.175 ). There are no repeating decimals or further complexities in this case. The fraction represented a division where we added decimal places and found the quotient through a series of divisions, ultimately leading us to a finite decimal. This method is particularly useful for converting fractions to decimals, especially when the denominator is not a factor of 10, leading to non-terminating decimals in other scenarios.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 7\/40 as a decimal. Use bar notation if necessary The Correct Answer and Explanation is : To convert the fraction ( \\frac{7}{40} ) into a decimal, we can use long division or a calculator. Here\u2019s a step-by-step explanation of the process: Step 1: Division Setup We need to divide 7 by 40. In long [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","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":"","ast-disable-related-posts":"","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":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-145659","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145659","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=145659"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145659\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145659"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145659"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}