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The worksheet lists problems where the grouping of factors changes, such as replacing (a × b) × c with a × (b × c) and checking matching results. It also provides an answer key that assigns the correct option letter for each numbered question, supporting self-check and quick grading.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/finding-associative-property-of-multiplication-answer-key/480316/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/finding-associative-property-of-multiplication-answer-key/480316.png","ImageObject",300,407,{"name":92,"@type":93},"Aldword","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill does this worksheet practice?","Question",{"text":112,"@type":113},"It practices identifying which choices correctly show the associative property of multiplication by comparing equivalent grouped expressions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems structured?",{"text":117,"@type":113},"Each question is a multiple-choice comparison of different multiplication expressions, typically changing the grouping of factors.",{"name":119,"@type":110,"acceptedAnswer":120},"What information does the answer key provide?",{"text":121,"@type":113},"The answer key lists the correct option letter for each numbered question so students can check their answers.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},480316,1792856457,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Finding Associative Property of Multiplication  \nName:  \n\n| Determine which choice best shows the associative property of multiplication.\u003Cbr>1) A. 7 × 1 = 1 × 7 2) A. 1 × 0 = 0 × 1\u003Cbr>B. (7 × 1) + (7 × 9) = 7 × (1 + 9) B. 1 × (0 + 7) = (1 × 0) + (1 × 7)\u003Cbr>C. (7 × 1) × 9 = 7 × (1 × 9) C. 1 × 1 = 1\u003Cbr>D. 7 × 1 = 7 D. 1 × (0 × 7) = (1 × 0) × 7\u003Cbr>3) A. 1 × 5 = 5 4) A. 1 × 0 = 0\u003Cbr>B. 5 × (9 + 0) = (5 × 9) + (5 × 0) B. 0 × (9 × 1) = (0 × 9) × 1 |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| C. 5 × 9 = 9 × 5 C. 0 × 9 = 9 × 0\u003Cbr>D. 5 × (9 × 0) = (5 × 9) × 0 D. 0 × (9 + 1) = (0 × 9) + (0 × 1) |  |  |  |  |  |  |  |  |  | 5.   |  |  |  |\n| 5) A. (5 × 1) × 9 = 5 × (1 × 9) 6) A. 3 × 1 = 3\u003Cbr>B. 5 × 1 = 1 × 5 B. (3 × 4) × 5 = 3 × (4 × 5)\u003Cbr>C. (5 × 1) + (5 × 9) = 5 × (1 + 9) C. (3 × 4) + (3 × 5) = 3 × (4 + 5)\u003Cbr>D. 5 × 1 = 5 D. 3 × 4 = 4 × 3\u003Cbr>7) A. 8 × (3 + 5) = (8 × 3) + (8 × 5) 8) A. 8 × (3 + 6) = (8 × 3) + (8 × 6)\u003Cbr>B. 8 × (3 × 5) = (8 × 3) × 5 B. 8 × 3 = 3 × 8\u003Cbr>C. 8 × 3 = 3 × 8 C. 1 × 8 = 8\u003Cbr>D. 1 × 8 = 8 D. 8 × (3 × 6) = (8 × 3) × 6\u003Cbr>9) A. (5 × 8) + (5 × 3) = 5 × (8 + 3) 10) A. 10 × 1 = 10 |  |  |  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| B. 5 × 8 = 8 × 5 B. 10 × 6 = 6 × 10 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| C. (5 × 8) × 3 = 5 × (8 × 3) C. (10 × 6) × 5 = 10 × (6 × 5) |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| D. 5 × 1 = 5 D. (10 × 6) + (10 × 5) = 10 × (6 + 5) |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) A. 8 × 7 = 7 × 8 12) A. 6 × 4 = 4 × 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| B. 8 × (7 + 4) = (8 × 7) + (8 × 4) B. 6 × (4 + 1) = (6 × 4) + (6 × 1) |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| C. 1 × 8 = 8 C. 6 × (4 × 1) = (6 × 4) × 1 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| D. 8 × (7 × 4) = (8 × 7) × 4 D. 1 × 6 = 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 8 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nFinding Associative Property of Multiplication  \nName: Answer Key  \n\n| Determine which choice best shows the associative property of multiplication.\u003Cbr>1) A. 7 × 1 = 1 × 7 2) A. 1 × 0 = 0 × 1\u003Cbr>B. (7 × 1) + (7 × 9) = 7 × (1 + 9) B. 1 × (0 + 7) = (1 × 0) + (1 × 7)\u003Cbr>C. (7 × 1) × 9 = 7 × (1 × 9) C. 1 × 1 = 1\u003Cbr>D. 7 × 1 = 7 D. 1 × (0 × 7) = (1 × 0) × 7\u003Cbr>3) A. 1 × 5 = 5 4) A. 1 × 0 = 0\u003Cbr>B. 5 × (9 + 0) = (5 × 9) + (5 × 0) B. 0 × (9 × 1) = (0 × 9) × 1\u003Cbr>C. 5 × 9 = 9 × 5 C. 0 × 9 = 9 × 0\u003Cbr>D. 5 × (9 × 0) = (5 × 9) × 0 D. 0 × (9 + 1) = (0 × 9) + (0 × 1)\u003Cbr>5) A. (5 × 1) × 9 = 5 × (1 × 9) 6) A. 3 × 1 = 3\u003Cbr>B. 5 × 1 = 1 × 5 B. (3 × 4) × 5 = 3 × (4 × 5)\u003Cbr>C. (5 × 1) + (5 × 9) = 5 × (1 + 9) C. (3 × 4) + (3 × 5) = 3 × (4 + 5)\u003Cbr>D. 5 × 1 = 5 D. 3 × 4 = 4 × 3\u003Cbr>7) A. 8 × (3 + 5) = (8 × 3) + (8 × 5) 8) A. 8 × (3 + 6) = (8 × 3) + (8 × 6)\u003Cbr>B. 8 × (3 × 5) = (8 × 3) × 5 B. 8 × 3 = 3 × 8\u003Cbr>C. 8 × 3 = 3 × 8 C. 1 × 8 = 8\u003Cbr>D. 1 × 8 = 8 D. 8 × (3 × 6) = (8 × 3) × 6\u003Cbr>9) A. (5 × 8) + (5 × 3) = 5 × (8 + 3) 10) A. 10 × 1 = 10 |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  C \u003Cbr>2.  D \u003Cbr>3.  D \u003Cbr>4.  B \u003Cbr>5.  A \u003Cbr>6.  B \u003Cbr>7.  B \u003Cbr>8.  D \u003Cbr>9.  C \u003Cbr>10.  C \u003Cbr>11.  D \u003Cbr>12.  C  |  |  |  |\n| B. 5 × 8 = 8 × 5 B. 10 × 6 = 6 × 10 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| C. (5 × 8) × 3 = 5 × (8 × 3) C. (10 × 6) × 5 = 10 × (6 × 5) |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| D. 5 × 1 = 5 D. (10 × 6) + (10 × 5) = 10 × (6 + 5) |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) A. 8 × 7 = 7 × 8 12) A. 6 × 4 = 4 × 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| B. 8 × (7 + 4) = (8 × 7) + (8 × 4) B. 6 × (4 + 1) = (6 × 4) + (6 × 1) |  |  |  |  |  |  |  |  |  |  |  |  |  |\n","cbCaimqjGIvE0N8n","https://ap.wps.com/l/cbCaimqjGIvE0N8n","pdf",43442,"English","# Determine the associative property of multiplication\n## Multiple-choice questions\n## Answer key","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices identifying which choices correctly show the associative property of multiplication by comparing equivalent grouped expressions.\"},{\"question\":\"How are the problems structured?\",\"answer\":\"Each question is a multiple-choice comparison of different multiplication expressions, typically changing the grouping of factors.\"},{\"question\":\"What information does the answer key provide?\",\"answer\":\"The answer key lists the correct option letter for each numbered question so students can check their answers.\"}]","Finding Associative Property of Multiplication - Answer Key | PDF",1790794792]