{"id":91,"date":"2018-09-15T15:41:03","date_gmt":"2018-09-15T15:41:03","guid":{"rendered":"https:\/\/patrickcarpen.com\/mathematics\/?page_id=91"},"modified":"2018-10-04T21:56:57","modified_gmt":"2018-10-04T21:56:57","slug":"the-associative-law","status":"publish","type":"page","link":"https:\/\/patrickcarpen.com\/mathematics\/the-associative-law\/","title":{"rendered":"The Associative Law"},"content":{"rendered":"Last updated: October 4, 2018 at 21:56 pm\n<p><img decoding=\"async\" title=\"Photo by OpenClipart-Vectors\" src=\"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e830b3082cf21c3e81584d04ee44408be272e1d219b3174194f9_640_associate.png\" alt=\"associate photo\" \/>If three numbers are to be added or multiplied, it does not matter which pair is selected first.<\/p>\n<p>For example, 4+2+8 is the same is 8+4+2 or 8+2+8 etc.<\/p>\n<p>and 3x2x6 is the same as 6x2x3 or 2x3x6.<\/p>\n<p>This is called the Associative Law. Addition and multiplication works by the Associative Law, but division and subtraction do not work by the Associative Law.<\/p>\n<p>Rewrite the following computations twice to show the Associate Law. The first one has been done for you.<\/p>\n<ol>\n<li>3 + 9 + 12 = 24<\/li>\n<\/ol>\n<p>a) 9 + 3 + 12 = 24<\/p>\n<p>b) 12 + 3 + 9 = 24<\/p>\n<p>&nbsp;<\/p>\n<p>2. 6\u00a0 + 4 + 10 = 20<\/p>\n<p>3. 10 + 20 + 40 = 70<\/p>\n<p>4. 11 + 22 + 10 = 43<\/p>\n<p>5. 7 + 8 + 10 = 25<\/p>\n<p>6. 6 x 2 x 3 = 36<\/p>\n<p>7. 8 x 4 x 2 = 64<\/p>\n<p>8. 9 x 3 x 10 = 270<\/p>\n<p>9. 7 x 1 x 12 = 84<\/p>\n<p>10. 12 x 10 x 5 = 600<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If three numbers are to be added or multiplied, it does not matter which pair is selected first. For example, 4+2+8 is the same is 8+4+2 or 8+2+8 etc. and <a class=\"more-link\" href=\"https:\/\/patrickcarpen.com\/mathematics\/the-associative-law\/\">Continue Reading &rarr;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":10,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"categories":[10,9,8,19,13],"tags":[],"class_list":["post-91","page","type-page","status-publish","hentry","category-addition","category-basic-mathematics","category-mathematics-formulas","category-mathematics-laws","category-multiplication"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Associative Law - Mathematics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/patrickcarpen.com\/mathematics\/the-associative-law\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Associative Law - Mathematics\" \/>\n<meta property=\"og:description\" content=\"If three numbers are to be added or multiplied, it does not matter which pair is selected first. 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