{"id":159433,"date":"2024-10-31T17:31:35","date_gmt":"2024-10-31T17:31:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=159433"},"modified":"2024-10-31T17:31:39","modified_gmt":"2024-10-31T17:31:39","slug":"which-of-the-following-points-on-the-number-line-best-represents-5-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/31\/which-of-the-following-points-on-the-number-line-best-represents-5-8\/","title":{"rendered":"Which of the following points on the number line best represents 5\/8"},"content":{"rendered":"\n

Which of the following points on the number line best represents 5\/8 ?
1) 0.5 <\/p>\n\n\n\n

2) 0.625<\/p>\n\n\n\n

3) 0.75 <\/p>\n\n\n\n

4) 0.875<\/p>\n\n\n\n

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

To determine which of the given points on the number line best represents ( \\frac{5}{8} ), we first need to convert the fraction into a decimal format. The fraction ( \\frac{5}{8} ) can be computed by dividing 5 by 8.<\/p>\n\n\n\n

Decimal Conversion<\/h3>\n\n\n\n
    \n
  1. Division<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • To divide 5 by 8, we can perform long division.<\/li>\n\n\n\n
    • 8 goes into 5 zero times. We then append a decimal point and a zero, making it 50.<\/li>\n\n\n\n
    • 8 goes into 50 six times (since ( 8 \\times 6 = 48 )).<\/li>\n\n\n\n
    • Subtracting 48 from 50 leaves us with 2.<\/li>\n\n\n\n
    • Bringing down another zero makes it 20.<\/li>\n\n\n\n
    • 8 goes into 20 two times (since ( 8 \\times 2 = 16 )).<\/li>\n\n\n\n
    • Subtracting 16 from 20 leaves us with 4.<\/li>\n\n\n\n
    • Bringing down another zero makes it 40.<\/li>\n\n\n\n
    • 8 goes into 40 five times (since ( 8 \\times 5 = 40 )).<\/li>\n\n\n\n
    • Subtracting gives us 0.<\/li>\n<\/ul>\n\n\n\n

      Putting all this together, we find that:
      [
      \\frac{5}{8} = 0.625
      ]<\/p>\n\n\n\n

      Analysis of Options<\/h3>\n\n\n\n

      Now, we compare this decimal value ( 0.625 ) with the given options:<\/p>\n\n\n\n

        \n
      1. 0.5<\/strong>: This is equivalent to ( \\frac{1}{2} ) and is less than ( \\frac{5}{8} ).<\/li>\n\n\n\n
      2. 0.625<\/strong>: This is exactly equal to ( \\frac{5}{8} ).<\/li>\n\n\n\n
      3. 0.75<\/strong>: This is equivalent to ( \\frac{3}{4} ) and is greater than ( \\frac{5}{8} ).<\/li>\n\n\n\n
      4. 0.875<\/strong>: This is equivalent to ( \\frac{7}{8} ) and is also greater than ( \\frac{5}{8} ).<\/li>\n<\/ol>\n\n\n\n

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

        From this analysis, we conclude that the point that best represents ( \\frac{5}{8} ) on the number line is option 2) 0.625<\/strong>.<\/p>\n\n\n\n

        This shows the importance of converting fractions to decimals for easier comparisons and visual representations on a number line. Understanding the relationship between fractions and their decimal equivalents is a fundamental skill in mathematics that aids in various applications, including measurement, financial calculations, and data interpretation. Thus, recognizing that ( \\frac{5}{8} ) equals ( 0.625 ) helps ensure accurate representation on a number line and strengthens numerical literacy.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Which of the following points on the number line best represents 5\/8 ?1) 0.5 2) 0.625 3) 0.75 4) 0.875 The Correct Answer and Explanation is: To determine which of the given points on the number line best represents ( \\frac{5}{8} ), we first need to convert the fraction into a decimal format. The fraction […]<\/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-159433","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159433","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=159433"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159433\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=159433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=159433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=159433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}