{"id":9465,"date":"2017-05-02T22:54:02","date_gmt":"2017-05-02T22:54:02","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9465"},"modified":"2017-09-24T14:27:50","modified_gmt":"2017-09-24T14:27:50","slug":"summary-using-the-commutative-and-associative-properties","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/summary-using-the-commutative-and-associative-properties\/","title":{"raw":"Summary: Using the Commutative and Associative Properties","rendered":"Summary: Using the Commutative and Associative Properties"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-594\">\r\n \t<li><strong>Commutative Properties<\/strong>\r\n<ul id=\"eip-id1170325450431\">\r\n \t<li><strong>Commutative Property of Addition:<\/strong>\r\n<ul id=\"eip-id1170324076151\">\r\n \t<li>If [latex]a,b[\/latex] are real numbers, then [latex]a+b=b+a[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Commutative Property of Multiplication:<\/strong>\r\n<ul id=\"eip-id1170324076444151\">\r\n \t<li>If [latex]a,b[\/latex] are real numbers, then [latex]a\\cdot b=b\\cdot a[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Associative Properties<\/strong>\r\n<ul id=\"eip-id1170322989752\">\r\n \t<li><strong>Associative Property of Addition:<\/strong>\r\n<ul id=\"eip-id1170325021832\">\r\n \t<li>If [latex]a,b,c[\/latex] are real numbers then [latex]\\left(a+b\\right)+c=a+\\left(b+c\\right)[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Associative Property of Multiplication:<\/strong>\r\n<ul id=\"eip-id117032502184432\">\r\n \t<li>If [latex]a,b,c[\/latex] are real numbers then [latex]\\left(a\\cdot b\\right)\\cdot c=a\\cdot \\left(b\\cdot c\\right)[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>","rendered":"<h2>Key Concepts<\/h2>\n<ul id=\"eip-594\">\n<li><strong>Commutative Properties<\/strong>\n<ul id=\"eip-id1170325450431\">\n<li><strong>Commutative Property of Addition:<\/strong>\n<ul id=\"eip-id1170324076151\">\n<li>If [latex]a,b[\/latex] are real numbers, then [latex]a+b=b+a[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li><strong>Commutative Property of Multiplication:<\/strong>\n<ul id=\"eip-id1170324076444151\">\n<li>If [latex]a,b[\/latex] are real numbers, then [latex]a\\cdot b=b\\cdot a[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><strong>Associative Properties<\/strong>\n<ul id=\"eip-id1170322989752\">\n<li><strong>Associative Property of Addition:<\/strong>\n<ul id=\"eip-id1170325021832\">\n<li>If [latex]a,b,c[\/latex] are real numbers then [latex]\\left(a+b\\right)+c=a+\\left(b+c\\right)[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li><strong>Associative Property of Multiplication:<\/strong>\n<ul id=\"eip-id117032502184432\">\n<li>If [latex]a,b,c[\/latex] are real numbers then [latex]\\left(a\\cdot b\\right)\\cdot c=a\\cdot \\left(b\\cdot c\\right)[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-9465\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t 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