{"id":170616,"date":"2024-11-19T21:52:13","date_gmt":"2024-11-19T21:52:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=170616"},"modified":"2024-11-19T21:52:15","modified_gmt":"2024-11-19T21:52:15","slug":"write-11-3-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/write-11-3-as-a-decimal\/","title":{"rendered":"Write 11\/3 as a decimal."},"content":{"rendered":"\n

Write 11\/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To convert the fraction ( \\frac{11}{3} ) into a decimal, we divide 11 by 3. This is done through long division.<\/p>\n\n\n\n

Long Division Process:<\/h3>\n\n\n\n
    \n
  1. Divide<\/strong> 11 by 3:<\/li>\n<\/ol>\n\n\n\n
      \n
    • 3 goes into 11 three times (since ( 3 \\times 3 = 9 )), leaving a remainder of 2.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Bring down a 0<\/strong>: Now we have 20 to divide.<\/li>\n<\/ol>\n\n\n\n
          \n
        • 3 goes into 20 six times (since ( 3 \\times 6 = 18 )), leaving a remainder of 2 again.<\/li>\n<\/ul>\n\n\n\n
            \n
          1. Bring down another 0<\/strong>: We have 20 once more.<\/li>\n<\/ol>\n\n\n\n
              \n
            • 3 goes into 20 six times again, with the same remainder of 2.<\/li>\n<\/ul>\n\n\n\n

              This process repeats indefinitely, with the digit 6 recurring. Thus, we express the decimal as ( 3.6666\\ldots ), which is often written as ( 3.\\overline{6} ), where the bar over the 6 indicates that it repeats infinitely.<\/p>\n\n\n\n

              Explanation:<\/h3>\n\n\n\n
                \n
              • The division of 11 by 3 results in a non-terminating, repeating decimal. This means the decimal goes on forever without ending, but the digits start repeating at a certain point. In this case, the digit “6” keeps repeating.<\/li>\n\n\n\n
              • The repeating decimal<\/strong> is often written with a bar notation, such as ( 3.\\overline{6} ), to indicate that the digit “6” repeats infinitely. This is a standard way of denoting repeating decimals, where the bar is placed over the digits that repeat.<\/li>\n\n\n\n
              • To verify<\/strong> the result, you can multiply ( 3.\\overline{6} ) by 3:<\/li>\n\n\n\n
              • ( 3.\\overline{6} \\times 3 = 11 ). This confirms that the decimal is correct.<\/li>\n<\/ul>\n\n\n\n

                Therefore, ( \\frac{11}{3} ) as a decimal is ( 3.\\overline{6} ), where the 6 repeats indefinitely. This is the correct and precise representation of the fraction in decimal form.<\/p>\n","protected":false},"excerpt":{"rendered":"

                Write 11\/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats. The Correct Answer and Explanation is: To convert the fraction ( \\frac{11}{3} ) into a decimal, we divide 11 by 3. This is done through long division. Long Division Process: This process repeats indefinitely, with the […]<\/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-170616","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170616","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=170616"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170616\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=170616"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=170616"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=170616"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}