{"id":10433,"date":"2022-04-09T22:06:39","date_gmt":"2022-04-09T16:36:39","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10433"},"modified":"2022-04-09T22:32:44","modified_gmt":"2022-04-09T17:02:44","slug":"write-down-the-decimal-expansion-of-these-given-rational-numbers-which-have-terminating-decimal-expansions","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/write-down-the-decimal-expansion-of-these-given-rational-numbers-which-have-terminating-decimal-expansions\/","title":{"rendered":"Write down the decimal expansion of these given rational numbers which have terminating decimal expansions."},"content":{"rendered":"<p><strong>Question<\/strong> : Write down the decimal expansion of these given rational numbers which have terminating decimal expansions.<\/p>\n<p>(i) \\(13\\over 3125\\)<\/p>\n<p>(ii)&nbsp; \\(17\\over 8\\)<\/p>\n<p>(iii)&nbsp; \\(64\\over 455\\)<\/p>\n<p>(iv)&nbsp; \\(15\\over 1600\\)<\/p>\n<p>(v)&nbsp; \\(29\\over 343\\)<\/p>\n<p>(vi)&nbsp; \\(23\\over {2^3 5^2}\\)<\/p>\n<p>(vii)&nbsp; \\(129\\over {2^2 5^7 7^5}\\)<\/p>\n<p>(viii)&nbsp; \\(6\\over 15\\)<\/p>\n<p>(ix)&nbsp; \\(35\\over 50\\)<\/p>\n<p>(x)&nbsp; \\(77\\over 210\\)<\/p>\n<p><strong>Solution<\/strong> :<\/p>\n<p><strong>(i)<\/strong>&nbsp; \\(13\\over 3125\\) = <strong>0.0046<\/strong><\/p>\n<p><strong>(ii)<\/strong>&nbsp; \\(17\\over 8\\) = <strong>2.125<\/strong><\/p>\n<p><strong>(iii)<\/strong>&nbsp; <strong>Non-terminating repeating decimal<\/strong>.<\/p>\n<p><strong>(iv)<\/strong>&nbsp; \\(15\\over 1600\\) = 0.009375<\/p>\n<p><strong>(v)<\/strong>&nbsp; <strong>Non-terminating repeating decimal<\/strong>.<\/p>\n<p><strong>(vi)<\/strong>&nbsp; \\(23 \\over 2^3 5^2\\) = \\(115\\over 1000\\) = <strong>0.115<\/strong><\/p>\n<p><strong>(vii)<\/strong>&nbsp; <strong>Non-terminating repeating decimal<\/strong>.<\/p>\n<p><strong>(viii)<\/strong>&nbsp; \\(16\\over 5\\) = \\(2\\over 5\\) = <strong>0.4<\/strong><\/p>\n<p><strong>(ix)<\/strong>&nbsp; \\(35\\over 50\\) = <strong>0.70<\/strong><\/p>\n<p><strong>(x)<\/strong> <strong>Non-terminating repeating decimal<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Question : Write down the decimal expansion of these given rational numbers which have terminating decimal expansions. (i) \\(13\\over 3125\\) (ii)&nbsp; \\(17\\over 8\\) (iii)&nbsp; \\(64\\over 455\\) (iv)&nbsp; \\(15\\over 1600\\) (v)&nbsp; \\(29\\over 343\\) (vi)&nbsp; \\(23\\over {2^3 5^2}\\) (vii)&nbsp; \\(129\\over {2^2 5^7 7^5}\\) (viii)&nbsp; \\(6\\over 15\\) (ix)&nbsp; \\(35\\over 50\\) (x)&nbsp; \\(77\\over 210\\) Solution : (i)&nbsp; \\(13\\over 3125\\) &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/write-down-the-decimal-expansion-of-these-given-rational-numbers-which-have-terminating-decimal-expansions\/\"> <span class=\"screen-reader-text\">Write down the decimal expansion of these given rational numbers which have terminating decimal expansions.<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,909],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Write down the decimal expansion of these given rational numbers which have terminating decimal expansions. - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/write-down-the-decimal-expansion-of-these-given-rational-numbers-which-have-terminating-decimal-expansions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Write down the decimal expansion of these given rational numbers which have terminating decimal expansions. - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Question : Write down the decimal expansion of these given rational numbers which have terminating decimal expansions. (i) (13over 3125) (ii)&nbsp; (17over 8) (iii)&nbsp; (64over 455) (iv)&nbsp; (15over 1600) (v)&nbsp; (29over 343) (vi)&nbsp; (23over {2^3 5^2}) (vii)&nbsp; (129over {2^2 5^7 7^5}) (viii)&nbsp; (6over 15) (ix)&nbsp; (35over 50) (x)&nbsp; (77over 210) Solution : (i)&nbsp; (13over 3125) &hellip; Write down the decimal expansion of these given rational numbers which have terminating decimal expansions. 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(i) (13over 3125) (ii)&nbsp; (17over 8) (iii)&nbsp; (64over 455) (iv)&nbsp; (15over 1600) (v)&nbsp; (29over 343) (vi)&nbsp; (23over {2^3 5^2}) (vii)&nbsp; (129over {2^2 5^7 7^5}) (viii)&nbsp; (6over 15) (ix)&nbsp; (35over 50) (x)&nbsp; (77over 210) Solution : (i)&nbsp; (13over 3125) &hellip; Write down the decimal expansion of these given rational numbers which have terminating decimal expansions. 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