{"id":9463,"date":"2017-05-02T22:50:26","date_gmt":"2017-05-02T22:50:26","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9463"},"modified":"2020-05-01T23:56:40","modified_gmt":"2020-05-01T23:56:40","slug":"summary-using-the-distributive-property","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/summary-using-the-distributive-property\/","title":{"raw":"Summary: Using the Distributive Property","rendered":"Summary: Using the Distributive Property"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-18\">\r\n \t<li><strong>Distributive Property:<\/strong>\r\n<ul id=\"eip-id1170326423707\">\r\n \t<li>If [latex]a,b,c[\/latex] are real numbers then\r\n<ul id=\"eip-id1170323988889\">\r\n \t<li>[latex]a\\left(b+c\\right)=ab+ac[\/latex]<\/li>\r\n \t<li>[latex]\\left(b+c\\right)a=ba+ca[\/latex]<\/li>\r\n \t<li>[latex]a\\left(b\\cdot c\\right)=a\\cdot{b}\\cdot{c}[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h1 style=\"text-align: center\"><span style=\"color: #ff0000\"><strong>STOP!<\/strong><\/span><\/h1>\r\n<h1 style=\"text-align: center\"><span style=\"color: #ff0000\"><strong>You have now completed this section.\u00a0 Go back to your course menu and complete the Practice Problems for this section<\/strong><\/span><\/h1>\r\n<h2><\/h2>","rendered":"<h2>Key Concepts<\/h2>\n<ul id=\"eip-18\">\n<li><strong>Distributive Property:<\/strong>\n<ul id=\"eip-id1170326423707\">\n<li>If [latex]a,b,c[\/latex] are real numbers then\n<ul id=\"eip-id1170323988889\">\n<li>[latex]a\\left(b+c\\right)=ab+ac[\/latex]<\/li>\n<li>[latex]\\left(b+c\\right)a=ba+ca[\/latex]<\/li>\n<li>[latex]a\\left(b\\cdot c\\right)=a\\cdot{b}\\cdot{c}[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1 style=\"text-align: center\"><span style=\"color: #ff0000\"><strong>STOP!<\/strong><\/span><\/h1>\n<h1 style=\"text-align: center\"><span style=\"color: #ff0000\"><strong>You have now completed this section.\u00a0 Go back to your course menu and complete the Practice Problems for this section<\/strong><\/span><\/h1>\n<h2><\/h2>\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-9463\">\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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