{"id":155686,"date":"2022-03-26T00:55:18","date_gmt":"2022-03-25T19:25:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/distributive-property\/"},"modified":"2025-06-23T15:32:52","modified_gmt":"2025-06-23T10:02:52","slug":"distributive-property","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/","title":{"rendered":"Distributive Property"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_of_Maths_Explained\" title=\"Distributive Property of Maths Explained\">Distributive Property of Maths Explained<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Understanding_the_Distributive_Property\" title=\"Understanding the Distributive Property\">Understanding the Distributive Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Steps_to_Follow_in_the_Distributive_Property\" title=\"Steps to Follow in the Distributive Property\">Steps to Follow in the Distributive Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Types_of_Distributive_Property\" title=\"Types of Distributive Property\">Types of Distributive Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_Definition\" title=\"Distributive Property Definition\">Distributive Property Definition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_Formula\" title=\"Distributive Property Formula\">Distributive Property Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_with_Variables\" title=\"Distributive Property with Variables\">Distributive Property with Variables<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_of_Addition\" title=\"Distributive Property of Addition\">Distributive Property of Addition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_of_Subtraction\" title=\"Distributive Property of Subtraction\">Distributive Property of Subtraction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_of_Multiplication\" title=\"Distributive Property of Multiplication\">Distributive Property of Multiplication<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Distributive_Property_of_Division\" title=\"Distributive Property of Division\">Distributive Property of Division<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/#Solved_Examples\" title=\"Solved Examples\">Solved Examples<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_of_Maths_Explained\"><\/span>Distributive Property of Maths Explained<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The distributive property states that for every number a, and every number b, a *(b + c) = (a*b) + (a* c). In other words, the distributive property states that you can multiply a number by a sum, and then add the products together, and you will get the same result as multiplying the numbers and then adding them together. Distributive Property of Maths Explained.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155685 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/distributive-property.jpg\" alt=\"Distributive Property\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/distributive-property.jpg?v=1648236315 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/distributive-property-300x212.jpg?v=1648236315 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Understanding_the_Distributive_Property\"><\/span>Understanding the Distributive Property<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The distributive property states that for any real numbers a, b, and c, a(b+c) = ab+ac. This property can be rewritten in terms of grouping symbols to produce the following equation:<\/p>\n<p>(a+b)c = ac+bc<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Steps_to_Follow_in_the_Distributive_Property\"><\/span>Steps to Follow in the Distributive Property<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The distributive property is a mathematical property that states that for every number a, and every number b, a multiplied by (b + c) is equal to a multiplied by b multiplied by c. In symbols, this can be written as:<\/p>\n<p>a(b + c) = a(b) \u00b7 c<\/p>\n<p>To understand the distributive property, let&#8217;s work through an example. Say we want to find out what (2 + 3) \u00b7 4 is.<\/p>\n<p>We can approach this problem in a few different ways. The first way would be to simply add 2 + 3 and then multiply that result by 4.<\/p>\n<p>(2 + 3) \u00b7 4 = (5) \u00b7 4 = 20<\/p>\n<p>Another way to solve this problem would be to first multiply 2 and 3 together to get 6. Then we would add 4 to that result to get 10. Finally, we would multiply 10 by 4 to get 40.<\/p>\n<p>(2 + 3) \u00b7 4 = 6 \u00b7 4 = 24<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Distributive_Property\"><\/span>Types of Distributive Property<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of distributive property:<\/p>\n<p>1. Associative Property<br \/>\n2. Commutative Property<br \/>\n3. Distributive Property<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_Definition\"><\/span>Distributive Property Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The distributive property is a mathematical property that states that a sum can be distributed evenly across a set of terms.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_Formula\"><\/span>Distributive Property Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The distributive property states that for any real numbers a, b, and c,<\/p>\n<p>a(b + c) = ab + ac.<\/p>\n<p>This equation says that when we multiply a number by a sum, we get the sum of the products.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_with_Variables\"><\/span>Distributive Property with Variables<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If you are given a problem with variables, you can use the distributive property to help you solve it. For example, if you are given the problem 5x + 3y = 9, you can use the distributive property to simplify the equation to 5x + 3y = 9.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_of_Addition\"><\/span>Distributive Property of Addition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>For any real numbers a, b, and c,<\/p>\n<p><strong>a + (b + c) = (a + b) + c.<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_of_Subtraction\"><\/span>Distributive Property of Subtraction<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>For any real numbers a, b, and c,<\/p>\n<p><strong>a &#8211; (b &#8211; c) = (a &#8211; b) + (a &#8211; c)<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_of_Multiplication\"><\/span>Distributive Property of Multiplication<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>For any real numbers a, b, and c:<\/p>\n<p><strong>a(b+c) = ab+ac.<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Distributive_Property_of_Division\"><\/span>Distributive Property of Division<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The distributive property of division states that for any real numbers a, b, and c,<\/p>\n<p><strong>a \u00f7 (b + c) = a \u00f7 b + a \u00f7 c.<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Solved_Examples\"><\/span>Solved Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-size: 18pt;\">Example 1:<\/span><\/p>\n<p><strong>The average of two numbers is 9. What are the two numbers?<\/strong><\/p>\n<p>The two numbers are 9 and 9.<\/p>\n<p>Distributive Property of Maths Explained.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distributive Property of Maths Explained The distributive property states that for every number a, and every number b, a *(b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Distributive Property Distributive Property of Maths Explained","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Distributive Property topic of Maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"formulas\/distributive-properties\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Distributive Property - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Distributive Property topic of Maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/distributive-properties\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Distributive Property - 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