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Learners determine which expressions are equivalent by comparing different ways of grouping factors using parentheses. The questions present products such as 6×(0×7) and (6×0)×7, requiring selection of the matching equivalent form. An accompanying answers key provides the correct letter choice for each numbered item to support self-check and instruction.",{"@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-answers-key/480291/",{"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-answers-key/480291.png","ImageObject",300,407,{"name":92,"@type":93},"Aldword","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skills do these problems test?","Question",{"text":112,"@type":113},"They test the ability to recognize equivalent expressions using the associative property of multiplication and compare different parenthesized groupings.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the questions structured?",{"text":117,"@type":113},"Each item is a multiple-choice question asking which expression is equal to a given expression, labeled with answer choices A–D.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answers key provide?",{"text":121,"@type":113},"The answers key lists the correct letter choice for each numbered question so students can verify their selections.","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},480291,1793047537,{"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":19,"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 is an equivalent equation. |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Which expression is equal to 2) Which expression is equal to ( 6 × 0 ) × 7 4 × ( 10 × 8 )\u003Cbr>A. 6 + ( 0 + 7 ) A. ( 4 + 10 ) × 8\u003Cbr>B. ( 6 × 0 ) + 7 B. 4 + ( 10 × 8 )\u003Cbr>C. 6 × ( 0 × 7 ) C. ( 4 × 10 ) + 8\u003Cbr>D. ( 6 + 0 ) × 7 D. ( 4 × 10 ) × 8\u003Cbr>3) Which expression is equal to 4) Which expression is equal to\u003Cbr>7 × ( 4 × 5 ) 0 × ( 8 × 1 )\u003Cbr>A. ( 7 × 4 ) + 5 A. 0 + ( 8 × 1 )\u003Cbr>B. 7 + ( 4 + 5 ) B. ( 0 + 8 ) + 1 |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |\n| C. ( 7 × 4 ) × 5\u003Cbr>D. 7 + ( 4 × 5 )\u003Cbr>5) Which expression is equal to 6)\u003Cbr>8 × ( 4 × 5 )\u003Cbr>A. ( 8 × 4 ) × 5\u003Cbr>B. 8 + ( 4 + 5 )\u003Cbr>C. 8 + ( 4 × 5 )\u003Cbr>D. ( 8 × 4 ) + 5\u003Cbr>7) Which expression is equal to 8)( 7 × 10 ) × 1\u003Cbr>A. 7 × ( 10 + 1 ) |  | C. 0 + ( 8 + 1 )\u003Cbr>D. ( 0 × 8 ) × 1\u003Cbr>Which expression is equal to 7 × ( 1 × 9 )\u003Cbr>A. 7 × ( 1 + 9 )\u003Cbr>B. ( 7 + 1 ) × 9\u003Cbr>C. ( 7 × 1 ) × 9\u003Cbr>D. 7 + ( 1 + 9 )\u003Cbr>Which expression is equal to ( 7 × 10 ) × 5\u003Cbr>A. ( 7 + 10 ) + 5 |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.   |  |  |  |\n| B. 7 + ( 10 × 1 )\u003Cbr>C. 7 × ( 10 × 1 ) |  | B. 7 + ( 10 + 5 )\u003Cbr>C. 7 × ( 10 × 5 ) |  |  |  |  |  |  | 12.   |  |  |  |\n| D. ( 7 + 10 ) × 1 |  | D. 7 + ( 10 × 5 ) |  |  |  |  |  |  |  |  |  |  |\n| 9) Which expression is equal to 10) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |\n| 1 × ( 8 × 3 ) |  | ( 0 × 3 ) × 9 |  |  |  |  |  |  |  |  |  |  |\n| A. ( 1 × 8 ) × 3 |  | A. ( 0 × 3 ) + 9 |  |  |  |  |  |  |  |  |  |  |\n| B. 1 + ( 8 × 3 ) |  | B. ( 0 + 3 ) × 9 |  |  |  |  |  |  |  |  |  |  |\n| C. ( 1 + 8 ) + 3 |  | C. 0 × ( 3 × 9 ) |  |  |  |  |  |  |  |  |  |  |\n| D. 1 + ( 8 + 3 ) |  | D. 0 × ( 3 + 9 ) |  |  |  |  |  |  |  |  |  |  |\n| 11) Which expression is equal to 12) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |\n| 4 × ( 8 × 7 ) |  | ( 6 × 10 ) × 0 |  |  |  |  |  |  |  |  |  |  |\n| A. 4 + ( 8 + 7 ) |  | A. 6 × ( 10 × 0 ) |  |  |  |  |  |  |  |  |  |  |\n| B. ( 4 × 8 ) + 7 |  | B. 6 × ( 10 + 0 ) |  |  |  |  |  |  |  |  |  |  |\n| C. ( 4 × 8 ) × 7 |  | C. ( 6 × 10 ) + 0 |  |  |  |  |  |  |  |  |  |  |\n| D. ( 4 + 8 ) + 7 |  | D. 6 + ( 10 + 0 ) |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 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 is an equivalent equation. |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Which expression is equal to 2) Which expression is equal to ( 6 × 0 ) × 7 4 × ( 10 × 8 )\u003Cbr>A. 6 + ( 0 + 7 ) A. ( 4 + 10 ) × 8\u003Cbr>B. ( 6 × 0 ) + 7 B. 4 + ( 10 × 8 )\u003Cbr>C. 6 × ( 0 × 7 ) C. ( 4 × 10 ) + 8\u003Cbr>D. ( 6 + 0 ) × 7 D. ( 4 × 10 ) × 8\u003Cbr>3) Which expression is equal to 4) Which expression is equal to\u003Cbr>7 × ( 4 × 5 ) 0 × ( 8 × 1 )\u003Cbr>A. ( 7 × 4 ) + 5 A. 0 + ( 8 × 1 )\u003Cbr>B. 7 + ( 4 + 5 ) B. ( 0 + 8 ) + 1 |  |  |  |  |  |  |  |  | 1.  C \u003Cbr>2.  D \u003Cbr>3.  C \u003Cbr>4.  D \u003Cbr>5.  A  |  |  |  |\n| C. ( 7 × 4 ) × 5\u003Cbr>D. 7 + ( 4 × 5 )\u003Cbr>5) Which expression is equal to 6)\u003Cbr>8 × ( 4 × 5 )\u003Cbr>A. ( 8 × 4 ) × 5\u003Cbr>B. 8 + ( 4 + 5 )\u003Cbr>C. 8 + ( 4 × 5 )\u003Cbr>D. ( 8 × 4 ) + 5\u003Cbr>7) Which expression is equal to 8)( 7 × 10 ) × 1\u003Cbr>A. 7 × ( 10 + 1 ) |  | C. 0 + ( 8 + 1 )\u003Cbr>D. ( 0 × 8 ) × 1\u003Cbr>Which expression is equal to 7 × ( 1 × 9 )\u003Cbr>A. 7 × ( 1 + 9 )\u003Cbr>B. ( 7 + 1 ) × 9\u003Cbr>C. ( 7 × 1 ) × 9\u003Cbr>D. 7 + ( 1 + 9 )\u003Cbr>Which expression is equal to ( 7 × 10 ) × 5\u003Cbr>A. ( 7 + 10 ) + 5 |  |  |  |  |  |  | 6.  C \u003Cbr>7.  C \u003Cbr>8.  C \u003Cbr>9.  A \u003Cbr>10.  C \u003Cbr>11.  C  |  |  |  |\n| B. 7 + ( 10 × 1 )\u003Cbr>C. 7 × ( 10 × 1 ) |  | B. 7 + ( 10 + 5 )\u003Cbr>C. 7 × ( 10 × 5","cbCaijw0VZwIOrc7","https://ap.wps.com/l/cbCaijw0VZwIOrc7","pdf",43422,"English","# Determine Equivalent Equations\n## Multiple-choice expressions (1-12)","[{\"question\":\"What skills do these problems test?\",\"answer\":\"They test the ability to recognize equivalent expressions using the associative property of multiplication and compare different parenthesized groupings.\"},{\"question\":\"How are the questions structured?\",\"answer\":\"Each item is a multiple-choice question asking which expression is equal to a given expression, labeled with answer choices A–D.\"},{\"question\":\"What does the answers key provide?\",\"answer\":\"The answers key lists the correct letter choice for each numbered question so students can verify their selections.\"}]","Finding Associative Property of Multiplication - Answers Key | PDF",1790794760]