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Learners determine which provided expression is equivalent to given multiplication expressions by applying associative property rules for grouping factors. Items include cases with identities such as 1 and 0, requiring correct evaluation of equivalent forms. An answer key accompanies the exercises, specifying the correct option letters for each problem.",{"@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-determine-which-choice-is-an-equivalent-equation/480295/",{"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-determine-which-choice-is-an-equivalent-equation/480295.png","ImageObject",300,407,{"name":92,"@type":93},"Aldword","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill do these questions test?","Question",{"text":112,"@type":113},"They test recognizing the associative property of multiplication and using it to identify equivalent multiplication expressions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the questions use parentheses?",{"text":117,"@type":113},"Each problem gives expressions with different grouping using parentheses; you must choose the option whose grouping is equivalent.",{"name":119,"@type":110,"acceptedAnswer":120},"Why do some problems include 0 or 1?",{"text":121,"@type":113},"Including 0 and 1 checks whether you can still form equivalent expressions when factors simplify due to identity and zero properties.","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},480295,1792856455,{"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":81,"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 × 10 ) × 1 3 × ( 1 × 9 )\u003Cbr>A. 6 × ( 10 + 1 ) A. 3 + ( 1 × 9 )\u003Cbr>B. ( 6 × 10 ) + 1 B. ( 3 + 1 ) + 9\u003Cbr>C. 6 × ( 10 × 1 ) C. ( 3 × 1 ) × 9\u003Cbr>D. 6 + ( 10 × 1 ) D. 3 + ( 1 + 9 )\u003Cbr>3) Which expression is equal to 4) Which expression is equal to\u003Cbr>1 × ( 8 × 5 ) 5 × ( 7 × 9 )\u003Cbr>A. 1 × ( 8 + 5 ) A. ( 5 + 7 ) + 9\u003Cbr>B. ( 1 × 8 ) + 5 B. ( 5 × 7 ) × 9 |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |\n| C. ( 1 × 8 ) × 5\u003Cbr>D. ( 1 + 8 ) × 5\u003Cbr>5) Which expression is equal to 6)\u003Cbr>2 × ( 7 × 1 )\u003Cbr>A. 2 × ( 7 + 1 )\u003Cbr>B. ( 2 + 7 ) + 1\u003Cbr>C. ( 2 × 7 ) × 1\u003Cbr>D. 2 + ( 7 + 1 )\u003Cbr>7) Which expression is equal to 8)\u003Cbr>6 × ( 1 × 0 )\u003Cbr>A. ( 6 + 1 ) + 0 |  | C. 5 × ( 7 + 9 )\u003Cbr>D. ( 5 + 7 ) × 9\u003Cbr>Which expression is equal to 1 × ( 10 × 0 )\u003Cbr>A. ( 1 × 10 ) + 0\u003Cbr>B. 1 + ( 10 × 0 )\u003Cbr>C. ( 1 + 10 ) × 0\u003Cbr>D. ( 1 × 10 ) × 0\u003Cbr>Which expression is equal to ( 8 × 6 ) × 9\u003Cbr>A. 8 + ( 6 + 9 ) |  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.   |  |  |  |\n| B. 6 + ( 1 × 0 )\u003Cbr>C. ( 6 × 1 ) × 0 |  | B. 8 × ( 6 × 9 )\u003Cbr>C. ( 8 × 6 ) + 9 |  |  |  |  |  |  |  | 12.   |  |  |  |\n| D. ( 6 × 1 ) + 0 |  | D. 8 + ( 6 × 9 ) |  |  |  |  |  |  |  |  |  |  |  |\n| 9) Which expression is equal to 10) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 6 × 4 ) × 0 |  | 4 × ( 7 × 6 ) |  |  |  |  |  |  |  |  |  |  |  |\n| A. 6 × ( 4 × 0 ) |  | A. ( 4 × 7 ) × 6 |  |  |  |  |  |  |  |  |  |  |  |\n| B. ( 6 + 4 ) + 0 |  | B. 4 + ( 7 × 6 ) |  |  |  |  |  |  |  |  |  |  |  |\n| C. 6 × ( 4 + 0 ) |  | C. 4 × ( 7 + 6 ) |  |  |  |  |  |  |  |  |  |  |  |\n| D. 6 + ( 4 + 0 ) |  | D. ( 4 + 7 ) + 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 11) Which expression is equal to 12) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 9 × 0 ) × 2 |  | 2 × ( 7 × 3 ) |  |  |  |  |  |  |  |  |  |  |  |\n| A. 9 × ( 0 × 2 ) |  | A. 2 + ( 7 × 3 ) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 9 + ( 0 × 2 ) |  | B. ( 2 + 7 ) × 3 |  |  |  |  |  |  |  |  |  |  |  |\n| C. ( 9 + 0 ) × 2 |  | C. ( 2 × 7 ) × 3 |  |  |  |  |  |  |  |  |  |  |  |\n| D. ( 9 + 0 ) + 2 |  | D. 2 × ( 7 + 3 ) |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 4 | 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 × 10 ) × 1 3 × ( 1 × 9 )\u003Cbr>A. 6 × ( 10 + 1 ) A. 3 + ( 1 × 9 )\u003Cbr>B. ( 6 × 10 ) + 1 B. ( 3 + 1 ) + 9\u003Cbr>C. 6 × ( 10 × 1 ) C. ( 3 × 1 ) × 9\u003Cbr>D. 6 + ( 10 × 1 ) D. 3 + ( 1 + 9 )\u003Cbr>3) Which expression is equal to 4) Which expression is equal to\u003Cbr>1 × ( 8 × 5 ) 5 × ( 7 × 9 )\u003Cbr>A. 1 × ( 8 + 5 ) A. ( 5 + 7 ) + 9\u003Cbr>B. ( 1 × 8 ) + 5 B. ( 5 × 7 ) × 9 |  |  |  |  |  |  |  |  |  | 1.  C \u003Cbr>2.  C \u003Cbr>3.  C \u003Cbr>4.  B \u003Cbr>5.  C  |  |  |  |\n| C. ( 1 × 8 ) × 5\u003Cbr>D. ( 1 + 8 ) × 5\u003Cbr>5) Which expression is equal to 6)\u003Cbr>2 × ( 7 × 1 )\u003Cbr>A. 2 × ( 7 + 1 )\u003Cbr>B. ( 2 + 7 ) + 1\u003Cbr>C. ( 2 × 7 ) × 1\u003Cbr>D. 2 + ( 7 + 1 )\u003Cbr>7) Which expression is equal to 8)\u003Cbr>6 × ( 1 × 0 )\u003Cbr>A. ( 6 + 1 ) + 0 |  | C. 5 × ( 7 + 9 )\u003Cbr>D. ( 5 + 7 ) × 9\u003Cbr>Which expression is equal to 1 × ( 10 × 0 )\u003Cbr>A. ( 1 × 10 ) + 0\u003Cbr>B. 1 + ( 10 × 0 )\u003Cbr>C. ( 1 + 10 ) × 0\u003Cbr>D. ( 1 × 10 ) × 0\u003Cbr>Which expression is equal to ( 8 × 6 ) × 9\u003Cbr>A. 8 + ( 6 + 9 ) |  |  |  |  |  |  |  | 6.  D \u003Cbr>7.  C \u003Cbr>8.  B \u003Cbr>9.  A \u003Cbr>10.  A \u003Cbr>11.  A  |  |  |  |\n| B.","cbCaic94LgaQeSHL","https://ap.wps.com/l/cbCaic94LgaQeSHL","pdf",43459,"English","# Determine which choice is an equivalent equation\n## Problems 1-12\n## Answer key","[{\"question\":\"What skill do these questions test?\",\"answer\":\"They test recognizing the associative property of multiplication and using it to identify equivalent multiplication expressions.\"},{\"question\":\"How do the questions use parentheses?\",\"answer\":\"Each problem gives expressions with different grouping using parentheses; you must choose the option whose grouping is equivalent.\"},{\"question\":\"Why do some problems include 0 or 1?\",\"answer\":\"Including 0 and 1 checks whether you can still form equivalent expressions when factors simplify due to identity and zero properties.\"}]","Finding Associative Property of Multiplication - Determine Which Choice Is an Equivalent Equation | PDF",1790794762]