{"id":225053,"date":"2025-06-03T19:19:54","date_gmt":"2025-06-03T19:19:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225053"},"modified":"2025-06-03T19:19:56","modified_gmt":"2025-06-03T19:19:56","slug":"rational-and-irrational-numbers-question-6-of-10-2-points-which-number-is-rational","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/rational-and-irrational-numbers-question-6-of-10-2-points-which-number-is-rational\/","title":{"rendered":"Rational and Irrational Numbers Question 6 of 10 2 Points Which number is rational"},"content":{"rendered":"\n

Rational and Irrational Numbers Question 6 of 10 2 Points Which number is rational? A. ? B. ?5 C. 0.36458121\u2026 D. 0.777..<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

The correct answer is:
D. 0.777…<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To determine which number is rational<\/strong>, we must understand the definition of rational numbers<\/strong>.<\/p>\n\n\n\n

A rational number<\/strong> is any number that can be expressed as a ratio of two integers<\/strong> (a fraction), where the denominator is not zero. Rational numbers either:<\/p>\n\n\n\n

    \n
  • Terminate<\/strong> (e.g., 0.5 = 1\/2), or<\/li>\n\n\n\n
  • Repeat<\/strong> in a predictable pattern (e.g., 0.333… = 1\/3, 0.777… = 7\/9)<\/li>\n<\/ul>\n\n\n\n

    Let\u2019s analyze the choices:<\/p>\n\n\n\n

      \n
    • A. \u03c0 (pi)<\/strong>: This is an irrational number<\/strong>. It never terminates or repeats and cannot be written as a fraction.<\/li>\n\n\n\n
    • B. \u221a5<\/strong>: This is also irrational<\/strong>. The square root of any number that is not a perfect square is irrational.<\/li>\n\n\n\n
    • C. 0.36458121…<\/strong>: This decimal neither terminates nor repeats in a pattern, so it is irrational<\/strong>.<\/li>\n\n\n\n
    • D. 0.777…<\/strong>: This is a repeating decimal<\/strong>. It can be written as the fraction 7\/9<\/strong>, so it is rational<\/strong>.<\/li>\n<\/ul>\n\n\n\n

      Therefore, the only rational number among the options is 0.777…<\/strong>, which repeats and can be expressed as a ratio of two integers.<\/p>\n\n\n\n

      \n\n\n\n

      Additional Insight:<\/h3>\n\n\n\n

      Many students confuse long decimals with irrational numbers. But length doesn\u2019t determine irrationality<\/strong>\u2014pattern does<\/strong>. If a decimal repeats or ends, it\u2019s rational. Only decimals that go on forever without any pattern<\/strong> are irrational.<\/p>\n\n\n\n

      So, even though 0.777…<\/strong> looks infinite, it’s predictably repeating<\/strong>, which fits the definition of a rational number. Always look for repetition or clear fractions when identifying rational numbers<\/p>\n\n\n\n

      \"\"<\/figure>\n\n\n\n

      .<\/p>\n","protected":false},"excerpt":{"rendered":"

      Rational and Irrational Numbers Question 6 of 10 2 Points Which number is rational? A. ? B. ?5 C. 0.36458121\u2026 D. 0.777.. The Correct Answer and Explanation is: The correct answer is:D. 0.777… Explanation: To determine which number is rational, we must understand the definition of rational numbers. A rational number is any number that […]<\/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-225053","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225053","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=225053"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225053\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225053"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225053"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225053"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}