{"id":1035,"date":"2019-10-04T05:40:33","date_gmt":"2019-10-04T05:40:33","guid":{"rendered":"https:\/\/muthu.co\/?p=1035"},"modified":"2021-05-24T02:53:14","modified_gmt":"2021-05-24T02:53:14","slug":"why-isnt-n-0-allowed-in-mathematics","status":"publish","type":"post","link":"http:\/\/write.muthu.co\/why-isnt-n-0-allowed-in-mathematics\/","title":{"rendered":"Why isn&#8217;t n\/0 allowed in mathematics."},"content":{"rendered":"\n<p>If you divide 4 by 2 you would get 2 as the quotient, which means there are exactly two 2&#8217;s in 4. And similarly, If you divide 5 by 2, you would get 2 as the quotient and 1as the remainder, which means there are two 2&#8217;s in 5 and a 1 which if you want can be further divided into 0.5 and 0.5 giving us 2.5 as the final result of the division.<\/p>\n\n\n\n<p>Similarly, if you were to divide any number <em>n<\/em> by 0, there aren&#8217;t any 0&#8217;s you can take out of n. If you could, then you might think you can take out an infinite number of 0&#8217;s? This represented in mathematical form gives us,<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/muthu.co\/wp-content\/uploads\/2019\/10\/Snip20191004_5.png\"><img loading=\"lazy\" decoding=\"async\" width=\"177\" height=\"213\" src=\"https:\/\/muthu.co\/wp-content\/uploads\/2019\/10\/Snip20191004_5.png\" alt=\"\" class=\"wp-image-1053\"\/><\/a><\/figure><\/div>\n\n\n\n<p>From our previous example, we can say, 5\/2 = 2.5 or 2.5*2 = 5 but we can&#8217;t say n\/0 = <em>x<\/em> or <em>x<\/em>*0 = n because multiplying any number with 0 is supposed to be a 0. So 1\/0, 2\/0, 3\/0 .. etc are all meaningless in mathematics. And, If division by zero was allowed then we can deduce absurd relations like 1=2 from 1*0 = 2*0 (allowing 0\/0).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you divide 4 by 2 you would get 2 as the quotient, which means there are exactly two 2&#8217;s in 4. And similarly, If you divide 5 by 2, you would get 2 as the quotient and 1as the remainder, which means there are two 2&#8217;s in 5 and a 1 which if you [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[54],"class_list":["post-1035","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-mathematics"],"_links":{"self":[{"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/posts\/1035","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/comments?post=1035"}],"version-history":[{"count":2,"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/posts\/1035\/revisions"}],"predecessor-version":[{"id":1867,"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/posts\/1035\/revisions\/1867"}],"wp:attachment":[{"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/media?parent=1035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/categories?post=1035"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/write.muthu.co\/wp-json\/wp\/v2\/tags?post=1035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}