The correct answer is B- (-12)<\/strong>.<\/p>\n\n\n\n A rational number is any number that can be expressed as the ratio of two integers (i.e., in the form pq\\frac{p}{q}qp\u200b, where ppp and qqq are integers and q\u22600q \\neq 0q\ue020=0).<\/p>\n\n\n\n Let’s analyze the options one by one:<\/p>\n\n\n\n A) 6.678….<\/strong> B) -12<\/strong> C) Square root of 19<\/strong> D) Pi (\u03c0)<\/strong> The only rational number among the options is B) -12<\/strong>, because it can be expressed as a fraction.<\/p>\n\n\n\n Which of the following is a rational number? A- 6.678\u2026. B- (-12) C- square root of 19 D- PI The Correct Answer and Explanation is: The correct answer is B- (-12). Explanation: A rational number is any number that can be expressed as the ratio of two integers (i.e., in the form pq\\frac{p}{q}qp\u200b, where ppp […]<\/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-249873","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249873","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=249873"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249873\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249873"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249873"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249873"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
This number is a decimal that appears to go on infinitely. However, because it is written as a non-terminating, repeating decimal, it would still be considered a rational number if it repeats in a predictable way. If the ellipsis means that the decimal repeats (for example, 6.678678…), then it can be written as a fraction, making it rational. But if the decimal does not repeat and just goes on infinitely in an unpredictable pattern, it would not be rational. So, if this decimal is non-repeating, it is not a rational number.<\/p>\n\n\n\n
This is a whole number. All integers (whether positive or negative) are rational numbers because they can be expressed as a ratio. For example, -12 can be written as \u2212121\\frac{-12}{1}1\u221212\u200b, where both -12 and 1 are integers. Therefore, -12 is a rational number.<\/p>\n\n\n\n
The square root of 19 is an irrational number because 19 is not a perfect square. The square root of any number that is not a perfect square is irrational because it cannot be expressed as a simple fraction. In this case, 19\\sqrt{19}19\u200b is approximately 4.358898, which continues infinitely without repeating.<\/p>\n\n\n\n
Pi is also an irrational number. It cannot be expressed as a simple fraction because it is a non-terminating, non-repeating decimal. The decimal representation of pi goes on forever without any repeating pattern, making it an irrational number.<\/p>\n\n\n\nConclusion:<\/h3>\n\n\n\n
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