The decimal equivalent of 9\/4 is a repeating decimal.
True
False<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n False.<\/strong> The decimal equivalent of ( \\frac{9}{4} ) is not a repeating decimal; it is a terminating decimal.<\/p>\n\n\n\n To understand why this is the case, let’s first perform the division of ( 9 ) by ( 4 ). When you divide ( 9 ) by ( 4 ), you find:<\/p>\n\n\n\n [ This division results in ( 2.25 ), which is a terminating decimal. A terminating decimal is one that has a finite number of digits after the decimal point. In this case, ( 2.25 ) has two digits after the decimal point: ( 2. ) and ( 5 ).<\/p>\n\n\n\n On the other hand, a repeating decimal is one that has an infinite number of digits after the decimal point that repeat in a pattern. For example, the fraction ( \\frac{1}{3} ) equals ( 0.333\u2026 ), where the digit ( 3 ) repeats infinitely.<\/p>\n\n\n\n The distinction between terminating and repeating decimals can be better understood by looking at the properties of fractions. A fraction in its simplest form will result in a terminating decimal if the denominator (when fully simplified) has only the prime factors of ( 2 ) and\/or ( 5 ). In contrast, if the denominator contains any prime factors other than ( 2 ) and ( 5 ), the decimal will be repeating.<\/p>\n\n\n\n In the case of ( \\frac{9}{4} ), the denominator ( 4 ) can be factored into ( 2^2 ). Since ( 4 ) contains only the prime factor ( 2 ), it confirms that ( \\frac{9}{4} ) will produce a terminating decimal.<\/p>\n\n\n\n Thus, the statement that ( \\frac{9}{4} ) is a repeating decimal is false<\/strong>; it is a terminating decimal, specifically ( 2.25 ).<\/p>\n","protected":false},"excerpt":{"rendered":" The decimal equivalent of 9\/4 is a repeating decimal.TrueFalse The Correct Answer and Explanation is : False. The decimal equivalent of ( \\frac{9}{4} ) is not a repeating decimal; it is a terminating decimal. To understand why this is the case, let’s first perform the division of ( 9 ) by ( 4 ). When […]<\/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-156499","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156499","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=156499"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156499\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156499"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156499"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156499"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
9 \\div 4 = 2.25
]<\/p>\n\n\n\n