{"id":155744,"date":"2024-10-16T11:56:25","date_gmt":"2024-10-16T11:56:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=155744"},"modified":"2024-10-16T11:56:28","modified_gmt":"2024-10-16T11:56:28","slug":"which-decimal-is-equivalent-to-10-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/16\/which-decimal-is-equivalent-to-10-3\/","title":{"rendered":"Which decimal is equivalent to 10\/3"},"content":{"rendered":"\n

Which decimal is equivalent to 10\/3?<\/p>\n\n\n\n

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

To find the decimal equivalent of the fraction ( \\frac{10}{3} ), we need to perform the division of 10 by 3.<\/p>\n\n\n\n

    \n
  1. Perform the Division<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • When we divide 10 by 3, we can set it up as follows:
      [
      10 \\div 3
      ]<\/li>\n\n\n\n
    • The integer part of this division is 3, since ( 3 \\times 3 = 9 ), which is the largest multiple of 3 that is less than 10.<\/li>\n\n\n\n
    • Subtracting 9 from 10 gives us a remainder of 1.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Add Decimal Places<\/strong>:<\/li>\n<\/ol>\n\n\n\n
          \n
        • To continue the division, we add a decimal point and a zero to the remainder:
          [
          10.0
          ]<\/li>\n\n\n\n
        • Now we can bring down the zero, making it 10 again:
          [
          10.0 \\div 3 = 3.3
          ]<\/li>\n\n\n\n
        • Again, we see that 3 goes into 10 three times, giving us 9, with a remainder of 1.<\/li>\n<\/ul>\n\n\n\n
            \n
          1. Repeat the Process<\/strong>:<\/li>\n<\/ol>\n\n\n\n
              \n
            • We can keep bringing down zeros to continue this division process:
              [
              10.00 \\div 3 = 3.33
              ]<\/li>\n\n\n\n
            • Each time we repeat this, we will continue to get 3 with a remainder of 1.<\/li>\n<\/ul>\n\n\n\n
                \n
              1. Recognize the Pattern<\/strong>:<\/li>\n<\/ol>\n\n\n\n
                  \n
                • This means that ( \\frac{10}{3} ) equals ( 3.333\u2026 ), where the digit 3 repeats indefinitely.<\/li>\n\n\n\n
                • Therefore, we can express ( \\frac{10}{3} ) as ( 3.\\overline{3} ), indicating that the 3 repeats infinitely.<\/li>\n<\/ul>\n\n\n\n
                    \n
                  1. Conclusion<\/strong>:<\/li>\n<\/ol>\n\n\n\n
                      \n
                    • Thus, the decimal equivalent of ( \\frac{10}{3} ) is ( 3.333\u2026 ).<\/li>\n\n\n\n
                    • This repeating decimal represents a non-terminating decimal, which is common when dealing with fractions where the denominator does not evenly divide the numerator.<\/li>\n<\/ul>\n\n\n\n

                      In summary, ( \\frac{10}{3} ) is equivalent to ( 3.333\u2026 ), or ( 3.\\overline{3} ), demonstrating how certain fractions convert into repeating decimals.<\/p>\n","protected":false},"excerpt":{"rendered":"

                      Which decimal is equivalent to 10\/3? The Correct Answer and Explanation is: To find the decimal equivalent of the fraction ( \\frac{10}{3} ), we need to perform the division of 10 by 3. In summary, ( \\frac{10}{3} ) is equivalent to ( 3.333\u2026 ), or ( 3.\\overline{3} ), demonstrating how certain fractions convert into repeating […]<\/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-155744","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155744","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=155744"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155744\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=155744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=155744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=155744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}