{"id":6334,"date":"2013-09-25T15:09:36","date_gmt":"2013-09-25T15:09:36","guid":{"rendered":"https:\/\/schooltutoring.com\/scholarship\/?p=6334"},"modified":"2014-12-02T08:26:58","modified_gmt":"2014-12-02T08:26:58","slug":"math-review-of-the-distributive-property","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2013\/09\/25\/math-review-of-the-distributive-property\/","title":{"rendered":"Math Review of the Distributive Property"},"content":{"rendered":"

Overview:<\/strong><\/p>\n

The Distributive Property of Multiplication over Addition is a good way to simplify calculations.\u00a0 It combines two different operations in a shortcut to make solving variables easier.<\/p>\n

The Distributive Property of Multiplication over Addition<\/strong><\/p>\n

The general rule for this property is for any numbers a, b, and x , ax + bx = (a +b)x.\u00a0 Imagine one rectangle with area ax and add it to another rectangle with area bx.\u00a0\u00a0 The length of one side would equal x and the length of the other side would equal a + b.\u00a0 To make the problem less abstract, numbers could be substituted.\u00a0 The constant a could equal 4, the constant b could equal 3, and the variable x could equal 2.\u00a0 Does 4(2) + 3(2) equal (4 +3)2? It does, because \u00a08 + 6 =14.<\/p>\n

The Distributive Property of \u00a0Multiplication over Subtraction<\/strong><\/p>\n

The general rule for this property is for any numbers a, b, and x, ax – bx = (a-b)x.\u00a0 This can also be illustrated with numbers substituting for the letters, as in the example above.\u00a0 Does 4(2) – 3(2) equal (4-3)2?\u00a0 It does, because 8-6 =2.<\/p>\n

Solving Repeating Decimals Using the Distributive Property<\/strong><\/p>\n

Repeating decimals can be solved using the distributive property of multiplication over subtraction.\u00a0 For example, let x = .3333… and multiply both sides by 10 to isolate the repeating part, so that 10 x equals 3.333.\u00a0 Now 10x-x equals 3.333… minus 333….\u00a0 Using the Distributive Property, (10-1)x = 3.333 – .333, so 9x =3, or x = 3\/9, or 1\/3 in simplest terms.<\/p>\n

Use the Distributive Property in Mental Math<\/strong><\/p>\n

The distributive property is a useful tool to solve problems mentally.\u00a0 For example, suppose one ream of paper costs 5.50 and 12 reams are needed.\u00a0 Now 12 times 5 is $60.00, and half of 12 (the 50 cents) is 6, so add the figures together to get the cost of $66.00.\u00a0 In a number sentence, that problem will read\u00a0 12(5.50) = 12(5) + 12(.50)= 66.<\/p>\n

Interested in math tutoring services<\/a>? Learn more about how we are assisting thousands of students each academic year.<\/p>\n

SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Saratoga Springs, UT visit: Tutoring in Saratoga Springs, UT<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Overview: The Distributive Property of Multiplication over Addition is a good way to simplify calculations.\u00a0 It combines two different operations in a shortcut to make solving variables easier. The Distributive Property of Multiplication over Addition The general rule for this property is for any numbers a, b, and x , ax + bx = (a […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[13],"tags":[520,521,1108,1531],"class_list":["post-6334","post","type-post","status-publish","format-standard","hentry","category-pre-algebra","tag-distributive-property-of-multiplication-over-addition","tag-distributive-property-of-multiplication-over-subtraction","tag-mental-math","tag-repeating-fractions"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/6334","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=6334"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/6334\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=6334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=6334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=6334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}