{"id":37961,"date":"2025-06-26T07:10:20","date_gmt":"2025-06-26T07:10:20","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37961"},"modified":"2025-06-26T07:10:21","modified_gmt":"2025-06-26T07:10:21","slug":"is-the-statement-any-number-divided-by-itself-is-1-a-true-statement","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/is-the-statement-any-number-divided-by-itself-is-1-a-true-statement\/","title":{"rendered":"Is the statement &#8220;any number divided by itself is 1&#8221; a true statement"},"content":{"rendered":"\n<p>Is the statement &#8220;any number divided by itself is 1&#8221; a true statement? If not, for what number or numbers is the statement not true?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The statement <strong>&#8220;any number divided by itself is 1&#8221;<\/strong> is <strong>mostly true<\/strong> but <strong>not always true<\/strong>. The exception is when the number is <strong>zero<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>The statement is <strong>not true<\/strong> for <strong>zero<\/strong>.<br><strong>0 \u00f7 0 is undefined<\/strong>, not 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Detailed Explanation (Around 300 Words):<\/h3>\n\n\n\n<p>Division is the process of determining how many times one number fits into another. When you divide a number by itself, you&#8217;re essentially asking: \u201cHow many times does this number fit into itself?\u201d For any number <strong>other than zero<\/strong>, the answer is <strong>1<\/strong>. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5 \u00f7 5 = 1<\/li>\n\n\n\n<li>\u22123 \u00f7 \u22123 = 1<\/li>\n\n\n\n<li>100 \u00f7 100 = 1<\/li>\n<\/ul>\n\n\n\n<p>This works because any nonzero number times 1 gives the original number back. Mathematically, <strong>a \u00f7 a = 1<\/strong> for any <strong>a \u2260 0<\/strong>.<\/p>\n\n\n\n<p>However, things change when the number involved is <strong>zero<\/strong>. Let\u2019s consider the division <strong>0 \u00f7 0<\/strong>. This seems to ask, \u201cHow many times does 0 fit into 0?\u201d This question has no clear answer, because:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 \u00d7 1 = 0<\/li>\n\n\n\n<li>0 \u00d7 2 = 0<\/li>\n\n\n\n<li>0 \u00d7 100 = 0<\/li>\n\n\n\n<li>0 \u00d7 any number = 0<\/li>\n<\/ul>\n\n\n\n<p>So <strong>any number multiplied by 0 gives 0<\/strong>, which means <strong>0 \u00f7 0 could be anything<\/strong>. This leads to <strong>an infinite number of possible answers<\/strong>, which is not allowed in standard arithmetic. Therefore, <strong>0 \u00f7 0 is considered undefined<\/strong>, because it does not have one single, clear value.<\/p>\n\n\n\n<p>On the other hand, <strong>0 \u00f7 any nonzero number<\/strong> is equal to <strong>0<\/strong>, because zero divided into groups of something still gives zero groups. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0 \u00f7 5 = 0<\/li>\n\n\n\n<li>0 \u00f7 \u22128 = 0<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Conclusion:<\/h3>\n\n\n\n<p>The statement \u201cany number divided by itself is 1\u201d is <strong>false for zero<\/strong>. For <strong>all nonzero numbers<\/strong>, it is <strong>true<\/strong>. The exception is <strong>0 \u00f7 0<\/strong>, which is <strong>undefined<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-991.jpeg\" alt=\"\" class=\"wp-image-37967\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-991.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-991-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-991-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Is the statement &#8220;any number divided by itself is 1&#8221; a true statement? If not, for what number or numbers is the statement not true? The Correct Answer and Explanation is: The statement &#8220;any number divided by itself is 1&#8221; is mostly true but not always true. The exception is when the number is zero. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-37961","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=37961"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37961\/revisions"}],"predecessor-version":[{"id":37968,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37961\/revisions\/37968"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}