{"id":161739,"date":"2024-11-05T11:16:39","date_gmt":"2024-11-05T11:16:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=161739"},"modified":"2024-11-05T11:16:41","modified_gmt":"2024-11-05T11:16:41","slug":"convert-4-7-into-its-decimal-form-and-round-to-the-nearest-thousandth","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/05\/convert-4-7-into-its-decimal-form-and-round-to-the-nearest-thousandth\/","title":{"rendered":"Convert 4\/7 into its decimal form and round to the nearest thousandth."},"content":{"rendered":"\n

Convert 4\/7 into its decimal form and round to the nearest thousandth.<\/p>\n\n\n\n

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

To convert the fraction ( \\frac{4}{7} ) into its decimal form, we divide the numerator (4) by the denominator (7). This division can be carried out using long division or a calculator.<\/p>\n\n\n\n

Step-by-Step Calculation:<\/h3>\n\n\n\n
    \n
  1. Long Division Setup<\/strong>: We set up the division of 4 by 7. Since 4 is less than 7, we start with 0 and add a decimal point.<\/li>\n\n\n\n
  2. Decimal Placement<\/strong>: We can append a zero to the 4 (making it 40) to continue dividing. So we consider how many times 7 goes into 40.<\/li>\n\n\n\n
  3. Finding the Quotient<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • 7 goes into 40 five times (since ( 7 \\times 5 = 35 )).<\/li>\n\n\n\n
    • We subtract 35 from 40, leaving a remainder of 5.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Continue Division<\/strong>: Bring down another 0, making it 50.<\/li>\n<\/ol>\n\n\n\n
          \n
        • 7 goes into 50 seven times (since ( 7 \\times 7 = 49 )).<\/li>\n\n\n\n
        • Subtract 49 from 50, leaving a remainder of 1.<\/li>\n<\/ul>\n\n\n\n
            \n
          1. Bring Down Another 0<\/strong>: Bring down another 0 to get 10.<\/li>\n<\/ol>\n\n\n\n
              \n
            • 7 goes into 10 once (since ( 7 \\times 1 = 7 )).<\/li>\n\n\n\n
            • Subtract 7 from 10, leaving a remainder of 3.<\/li>\n<\/ul>\n\n\n\n
                \n
              1. Continue Bringing Down Zeros<\/strong>: Bring down another 0 to get 30.<\/li>\n<\/ol>\n\n\n\n
                  \n
                • 7 goes into 30 four times (since ( 7 \\times 4 = 28 )).<\/li>\n\n\n\n
                • Subtract 28 from 30, leaving a remainder of 2.<\/li>\n<\/ul>\n\n\n\n
                    \n
                  1. Bring Down Another 0<\/strong>: Bring down another 0 to get 20.<\/li>\n<\/ol>\n\n\n\n
                      \n
                    • 7 goes into 20 twice (since ( 7 \\times 2 = 14 )).<\/li>\n\n\n\n
                    • Subtract 14 from 20, leaving a remainder of 6.<\/li>\n<\/ul>\n\n\n\n
                        \n
                      1. Continue the Process<\/strong>: Bringing down a 0 to get 60.<\/li>\n<\/ol>\n\n\n\n
                          \n
                        • 7 goes into 60 eight times (since ( 7 \\times 8 = 56 )).<\/li>\n\n\n\n
                        • Subtract 56 from 60, leaving a remainder of 4, which means we are back where we started, and the decimal will start repeating.<\/li>\n<\/ul>\n\n\n\n

                          The division continues indefinitely, producing a repeating decimal:<\/p>\n\n\n\n

                          [
                          \\frac{4}{7} \\approx 0.571428\\ldots
                          ]<\/p>\n\n\n\n

                          Rounding to the Nearest Thousandth:<\/h3>\n\n\n\n

                          To round ( 0.571428 ) to the nearest thousandth, we look at the fourth decimal place. The first three decimal places are 571, and the fourth decimal place is 4. Since 4 is less than 5, we do not round up. Therefore, the rounded value is:<\/p>\n\n\n\n

                          [
                          \\frac{4}{7} \\approx 0.571
                          ]<\/p>\n\n\n\n

                          Conclusion:<\/h3>\n\n\n\n

                          In decimal form, ( \\frac{4}{7} ) equals approximately ( 0.571 ) when rounded to the nearest thousandth. This process illustrates not only how to convert a fraction to a decimal but also how to round it appropriately for precision in various mathematical and practical applications.<\/p>\n","protected":false},"excerpt":{"rendered":"

                          Convert 4\/7 into its decimal form and round to the nearest thousandth. The Correct Answer and Explanation is: To convert the fraction ( \\frac{4}{7} ) into its decimal form, we divide the numerator (4) by the denominator (7). This division can be carried out using long division or a calculator. Step-by-Step Calculation: The division continues […]<\/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-161739","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161739","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=161739"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161739\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161739"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161739"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161739"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}