{"id":187,"date":"2023-02-16T08:14:53","date_gmt":"2023-02-16T08:14:53","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/?page_id=187"},"modified":"2023-02-17T15:44:03","modified_gmt":"2023-02-17T15:44:03","slug":"associative-law","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/associative-law\/","title":{"rendered":"Associative Law"},"content":{"rendered":"<p>There are three &#8220;laws&#8221; which are very useful to know and can help us make calculations easier. These are the Associative, Commutative and Distributive Laws.<\/p>\n<p>&nbsp;<\/p>\n<p>The <strong>Associative Law<\/strong> tells us that when adding or multiplying, we can <span style=\"text-decoration: underline\">group numbers together in any order<\/span> and the answer will be the same. This works when adding or multiplying several numbers in the same calculation. For example: 6 + 3 + 4.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-188\" src=\"https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080912\/Screenshot-2023-02-16-080834-300x76.jpg\" alt=\"\" width=\"379\" height=\"96\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080912\/Screenshot-2023-02-16-080834-300x76.jpg 300w, https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080912\/Screenshot-2023-02-16-080834-1024x260.jpg 1024w, https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080912\/Screenshot-2023-02-16-080834-768x195.jpg 768w, https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080912\/Screenshot-2023-02-16-080834.jpg 1150w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/p>\n<p>6+3 is 9; 9+4 is 13.<\/p>\n<p>Or 3+4 is 7; 6+7 is 13.<\/p>\n<p>&nbsp;<\/p>\n<p>This works for multiplying too. When calculating 2 x 3 x 4, we can multiply any of the two numbers together first and then multiply the answer by the remaining number.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-189\" src=\"https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080913\/Screenshot-2023-02-16-080855-300x136.jpg\" alt=\"\" width=\"300\" height=\"136\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080913\/Screenshot-2023-02-16-080855-300x136.jpg 300w, https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080913\/Screenshot-2023-02-16-080855-768x349.jpg 768w, https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/16080913\/Screenshot-2023-02-16-080855.jpg 814w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>(2&#215;3) x4\u00a0 \u00a0 \u00a0 \u00a0 \u00a02 x (3&#215;4)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (2&#215;4) x 3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0will all give the answer 24.<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #ff0000\">Please note this only works when adding or multiplying. It does not apply to subtraction or division.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><strong>CURRICULUM LINK:<\/strong><\/p>\n<p>I have investigated how<br \/>\nwhole numbers are<br \/>\nconstructed, can<br \/>\nunderstand the<br \/>\nimportance of zero within<br \/>\nthe system and can use<br \/>\nmy knowledge to explain<br \/>\nthe link between a digit,<br \/>\nits place and its value.<br \/>\nMNU 1-02a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-34 alignnone\" src=\"https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/11174824\/First-107x300.jpg\" alt=\"\" width=\"39\" height=\"109\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/11174824\/First-107x300.jpg 107w, https:\/\/blogs.glowscotland.org.uk\/cl\/public\/sspsmathsguide\/uploads\/sites\/6436\/2023\/02\/11174824\/First.jpg 113w\" sizes=\"auto, (max-width: 39px) 100vw, 39px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>You may want to find out more about:<\/p>\n<p>The Distributive Law, <a href=\"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/commutative-law\/\">The Commutative Law<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are three &#8220;laws&#8221; which are very useful to know and can help us make calculations easier. These are the Associative, Commutative and Distributive Laws. &nbsp; The Associative Law tells us that when adding or multiplying, we can group numbers together in any order and the answer will be the same. This works when adding &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/associative-law\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Associative Law<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":3794,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-187","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/pages\/187","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/users\/3794"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/comments?post=187"}],"version-history":[{"count":4,"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/pages\/187\/revisions"}],"predecessor-version":[{"id":265,"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/pages\/187\/revisions\/265"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/cl\/sspsmathsguide\/wp-json\/wp\/v2\/media?parent=187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}