{"id":149308,"date":"2024-10-07T07:33:25","date_gmt":"2024-10-07T07:33:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149308"},"modified":"2024-10-07T07:33:28","modified_gmt":"2024-10-07T07:33:28","slug":"convert-4-9-into-its-decimal-form-and-round-to-the-nearest-thousandth","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/07\/convert-4-9-into-its-decimal-form-and-round-to-the-nearest-thousandth\/","title":{"rendered":"Convert 4\/9 into its decimal form and round to the nearest thousandth"},"content":{"rendered":"\n

Convert 4\/9 into its decimal form and round to the nearest thousandth<\/p>\n\n\n\n

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

The correct answer is: 0.444<\/strong><\/p>\n\n\n\n

To convert the fraction ( \\frac{4}{9} ) into its decimal form, we perform the division of 4 by 9. This process involves dividing the numerator (4) by the denominator (9).<\/p>\n\n\n\n

Step-by-Step Conversion:<\/h3>\n\n\n\n
    \n
  1. Long Division<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • Start by dividing 4.000000 (adding zeros after the decimal point) by 9.<\/li>\n\n\n\n
    • 9 goes into 4 zero times, so we write 0 and then a decimal point.<\/li>\n\n\n\n
    • We bring down the first 0, making it 40.<\/li>\n\n\n\n
    • 9 goes into 40 four times (9 \u00d7 4 = 36), which gives us a remainder of 4.<\/li>\n\n\n\n
    • Bring down another 0 to make it 40 again.<\/li>\n\n\n\n
    • Repeat the process. You will find that 9 goes into 40 four times, leaving a remainder of 4 each time.<\/li>\n<\/ul>\n\n\n\n

      Continuing this way, we see that ( \\frac{4}{9} ) results in a repeating decimal:<\/p>\n\n\n\n

      [
      0.444444\\ldots
      ]<\/p>\n\n\n\n

      This can be represented as ( 0.\\overline{4} ), indicating that the digit 4 repeats indefinitely.<\/p>\n\n\n\n

        \n
      1. Rounding to the Nearest Thousandth<\/strong>:<\/li>\n<\/ol>\n\n\n\n
          \n
        • The decimal ( 0.444444\u2026 ) needs to be rounded to the nearest thousandth. The third decimal place is 4, and the fourth decimal place is also 4.<\/li>\n\n\n\n
        • According to rounding rules, if the digit following the last place you are rounding to is 5 or greater, you round up. If it is less than 5, you leave the last digit as it is.<\/li>\n\n\n\n
        • Since the digit in the fourth decimal place is 4, we leave the third decimal place unchanged.<\/li>\n<\/ul>\n\n\n\n

          Thus, rounding ( 0.444444\u2026 ) to the nearest thousandth gives us:<\/p>\n\n\n\n

          [
          0.444
          ]<\/p>\n\n\n\n

          Final Answer:<\/h3>\n\n\n\n

          Therefore, the decimal form of ( \\frac{4}{9} ) rounded to the nearest thousandth is 0.444<\/strong>.<\/p>\n\n\n\n

          In conclusion, understanding how to convert fractions into decimal form and rounding them correctly is an essential mathematical skill. It allows for easier calculations and interpretations in various real-world applications, such as financial calculations, measurements, and data analysis.<\/p>\n","protected":false},"excerpt":{"rendered":"

          Convert 4\/9 into its decimal form and round to the nearest thousandth The Correct Answer and Explanation is : The correct answer is: 0.444 To convert the fraction ( \\frac{4}{9} ) into its decimal form, we perform the division of 4 by 9. This process involves dividing the numerator (4) by the denominator (9). Step-by-Step […]<\/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-149308","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149308","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=149308"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149308\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149308"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149308"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149308"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}