{"id":35392,"date":"2025-06-24T10:11:18","date_gmt":"2025-06-24T10:11:18","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=35392"},"modified":"2025-06-24T10:11:20","modified_gmt":"2025-06-24T10:11:20","slug":"write-an-expression-that-represents-72-divided-by-n-plus-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-an-expression-that-represents-72-divided-by-n-plus-4\/","title":{"rendered":"Write an expression that represents 72 divided by n plus 4"},"content":{"rendered":"\n<p>Write an expression that represents 72 divided by n plus 4<\/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><strong>Expression:<\/strong>72n+4\\frac{72}{n + 4}n+472\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation <\/h3>\n\n\n\n<p>The expression 72n+4\\frac{72}{n + 4}n+472\u200b represents the mathematical operation of dividing the number 72 by the sum of a variable nnn and the constant 4. Here&#8217;s how this works step by step:<\/p>\n\n\n\n<p>In mathematics, a fraction like ab\\frac{a}{b}ba\u200b means &#8220;a divided by b.&#8221; So in our case, the numerator (top part) is 72, and the denominator (bottom part) is n+4n + 4n+4. This means we are not simply dividing 72 by nnn, but rather by the entire expression n+4n + 4n+4. It\u2019s important to include the parentheses around n+4n + 4n+4 to show that the entire sum is in the denominator.<\/p>\n\n\n\n<p>If you were to write this expression without using a fraction, it could also be written as:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">scssCopyEdit<code>72 \u00f7 (n + 4)\n<\/code><\/pre>\n\n\n\n<p>This means that before performing the division, you must first add 4 to nnn, and then divide 72 by the result. For example, if n=2n = 2n=2, then n+4=6n + 4 = 6n+4=6, and the expression becomes 726\\frac{72}{6}672\u200b, which equals 12. This illustrates the importance of order of operations in mathematics. According to these rules, parentheses must be evaluated first before division.<\/p>\n\n\n\n<p>A common mistake is to forget the parentheses and misinterpret the expression as 72n+4\\frac{72}{n} + 4n72\u200b+4, which changes the meaning entirely. In that version, you would first divide 72 by nnn, then add 4 afterward. But our original expression keeps the addition inside the denominator, so it all affects the divisor before the division happens.<\/p>\n\n\n\n<p>This expression is useful in many real-world contexts, such as calculating average rates, dividing resources among a group, or solving algebraic problems. Understanding how to correctly interpret and manipulate algebraic expressions like this helps build a solid foundation for more advanced math.<\/p>\n\n\n","protected":false},"excerpt":{"rendered":"<p>Write an expression that represents 72 divided by n plus 4 The Correct Answer and Explanation is: Expression:72n+4\\frac{72}{n + 4}n+472\u200b Explanation The expression 72n+4\\frac{72}{n + 4}n+472\u200b represents the mathematical operation of dividing the number 72 by the sum of a variable nnn and the constant 4. Here&#8217;s how this works step by step: In mathematics, [&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-35392","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35392","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=35392"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35392\/revisions"}],"predecessor-version":[{"id":35399,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35392\/revisions\/35399"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=35392"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=35392"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=35392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}