{"id":150640,"date":"2024-10-09T06:59:37","date_gmt":"2024-10-09T06:59:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150640"},"modified":"2024-10-09T06:59:40","modified_gmt":"2024-10-09T06:59:40","slug":"convert-7-9-into-its-decimal-form-and-round-to-the-nearest-thousandth","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/09\/convert-7-9-into-its-decimal-form-and-round-to-the-nearest-thousandth\/","title":{"rendered":"Convert 7\/9 into its decimal form and round to the nearest thousandth"},"content":{"rendered":"\n<p>Convert 7\/9 into its decimal form and round to the nearest thousandth<\/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>The correct answer is: <strong>0.778<\/strong><\/p>\n\n\n\n<p>To convert the fraction ( \\frac{7}{9} ) into decimal form, we can perform the division of the numerator by the denominator. Here&#8217;s how it works:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Division<\/strong>: Divide 7 by 9. Since 7 is smaller than 9, we know the result will be less than 1. So we can express it as 0 with a decimal point: ( 0. ).<\/li>\n\n\n\n<li><strong>Long Division<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Start by adding a decimal and zeros to 7: ( 7.000 ).<\/li>\n\n\n\n<li>Divide 70 by 9, which goes 7 times (since ( 9 \\times 7 = 63 )).<\/li>\n\n\n\n<li>Subtract 63 from 70, which gives a remainder of 7. Bring down the next 0, making it 70 again.<\/li>\n\n\n\n<li>Repeat this process: divide 70 by 9, which again goes 7 times, leaving a remainder of 7. Thus, this creates a repeating cycle.<\/li>\n<\/ul>\n\n\n\n<p>The result of the division is:<br>[<br>0.7777\\ldots<br>]<br>This decimal repeats indefinitely, and we can denote it as ( 0.\\overline{7} ).<\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li><strong>Rounding<\/strong>: To round ( 0.7777\\ldots ) to the nearest thousandth, we look at the first three decimal places: 777. The fourth decimal place (which is also 7) tells us to round up. Thus, when rounding:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The third decimal place is 7, and since the next digit (the fourth decimal place) is also 7 (which is greater than 5), we increase the third digit (7) by 1.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, ( 0.7777\\ldots ) rounded to the nearest thousandth is:<br>[<br>0.778<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, the decimal form of ( \\frac{7}{9} ) rounded to the nearest thousandth is <strong>0.778<\/strong>. This method of converting fractions to decimals is crucial in various fields, such as mathematics, finance, and science, where precise calculations are often required. Rounding is equally important as it helps simplify numbers for easier communication and analysis, especially when dealing with measurements or statistical data.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert 7\/9 into its decimal form and round to the nearest thousandth The Correct Answer and Explanation is : The correct answer is: 0.778 To convert the fraction ( \\frac{7}{9} ) into decimal form, we can perform the division of the numerator by the denominator. Here&#8217;s how it works: The result of the division is:[0.7777\\ldots]This [&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-150640","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150640","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=150640"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150640\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}