{"id":112279,"date":"2020-10-29T10:18:11","date_gmt":"2020-10-29T04:48:11","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=112279"},"modified":"2021-09-18T11:15:00","modified_gmt":"2021-09-18T05:45:00","slug":"is-every-rational-number-an-integer","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/is-every-rational-number-an-integer\/","title":{"rendered":"Is Every Rational Number an Integer?"},"content":{"rendered":"<p>Every Integer is a Rational Number but a Rational Number need not be an Integer. Check out the statements, examples supporting whether or not All\u00a0<a href=\"https:\/\/www.cbselabs.com\/rational-numbers\/\">Rational Numbers<\/a>\u00a0are Integers.<\/p>\n<p>We know 1 = 1\/1, 2 = 2\/1, 3 = 3\/1 \u2026\u2026..<\/p>\n<p>Also, -1 = -1\/1, -2 = -2\/1, -3 = -3\/1 \u2026\u2026..<\/p>\n<p>You can also express integer a in the form of a\/1 which is also a Rational Number.<\/p>\n<p>Hence, every integer is clearly a Rational Number.<\/p>\n<p>Clearly, 5\/2,-4\/3, 3\/7, etc. are all Rational Numbers but not Integers.<\/p>\n<p>Therefore, every integer is a Rational Number but a Rational Number need not be an Integer. Check out the following sections and get a complete idea of the statement.<\/p>\n<p><strong>Determine whether the following Rational Numbers are Integers or not<\/strong><\/p>\n<p>(i) 3\/5<\/p>\n<p>3\/5 is not an Integer and we can\u2019t express it other than a fraction form or decimal value.<\/p>\n<p>(ii) 6\/3<\/p>\n<p>6\/3 is an integer. On simplifying 6\/3 to its lowest form we get 6\/3 = 2\/1 which is an integer.<\/p>\n<p>(iii) -3\/-3<\/p>\n<p>-3\/-3 is an integer. On reducing -3\/-3 to its reduced form we get -1\/-1 =1 which is an integer.<\/p>\n<p>(iv) -13\/2<\/p>\n<p>-13\/2 is not an integer and we can\u2019t express it other than a fraction form or decimal value.<\/p>\n<p>(v) -36\/9<\/p>\n<p>-36\/9 is an integer as we get the reduced form -36\/9=-4 which is an integer.<\/p>\n<p>(vi) 47\/-9<\/p>\n<p>47\/-9 is not an integer and we can\u2019t express it other than fraction form or decimal value.<\/p>\n<p>(vii) -70\/-20<\/p>\n<p>-70\/-20 is not an integer and we can\u2019t express it other than fraction form or decimal value.<\/p>\n<p>(viii) 1000\/-10<\/p>\n<p>1000\/-10 is an integer as we get 1000\/-10 = -100 on reducing to its lowest form and -100 is an integer.<\/p>\n<p>From the above instances, we can conclude that Not Every Rational Number is an Integer.<\/p>\n<p>https:\/\/www.youtube.com\/watch?v=9yvtLN_24G0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Every Integer is a Rational Number but a Rational Number need not be an Integer. Check out the statements, examples supporting whether or not All\u00a0Rational Numbers\u00a0are Integers. We know 1 = 1\/1, 2 = 2\/1, 3 = 3\/1 \u2026\u2026.. Also, -1 = -1\/1, -2 = -2\/1, -3 = -3\/1 \u2026\u2026.. You can also express integer &hellip;<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5350],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Is Every Rational Number an Integer? | Is it True or False &amp; Reasons<\/title>\n<meta name=\"description\" content=\"Is Every Rational Number an Integer? Check whether it is true or false. 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