[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480302-105":59,"doc-detail-480302-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","finding-associative-property-of-multiplication-answer-key","Finding Associative Property of Multiplication - Answer Key","","Practice worksheet focused on determining equivalent multiplication expressions by applying the associative property. Each item presents nested products and multiple-choice options that rearrange grouping, while keeping factors the same. The answer key provides the correct letter choices for problems numbered 1 through 12. Tasks include evaluating expressions such as 8 × (1 × 3) and (10 × 3) × 2, reinforcing correct grouping of multiplicative terms.",{"@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/480302/",{"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/480302.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":24},"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 using the associative property of multiplication to identify equivalent expressions with regrouped factors.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the questions formatted?",{"text":117,"@type":113},"Each problem shows a product in one grouping and asks which option is equal to it, using multiple-choice letters.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the document include solutions?",{"text":121,"@type":113},"Yes. It includes an answer key that lists the correct choices for problems 1 through 12.","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},480302,1792833799,{"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":24,"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\u003Cbr>8 × ( 1 × 3 ) ( 1 × 6 ) × 10\u003Cbr>A. ( 8 × 1 ) × 3 A. 1 × ( 6 × 10 )\u003Cbr>B. ( 8 + 1 ) + 3 B. 1 + ( 6 + 10 )\u003Cbr>C. 8 × ( 1 + 3 ) C. ( 1 + 6 ) × 10\u003Cbr>D. ( 8 + 1 ) × 3 D. ( 1 × 6 ) + 10\u003Cbr>3) Which expression is equal to 4) Which expression is equal to ( 0 × 1 ) × 3 ( 10 × 3 ) × 2\u003Cbr>A. ( 0 + 1 ) × 3 A. 10 × ( 3 × 2 )\u003Cbr>B. 0 + ( 1 × 3 ) B. ( 10 × 3 ) + 2 |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |\n| C. 0 + ( 1 + 3 )\u003Cbr>D. 0 × ( 1 × 3 )\u003Cbr>5) Which expression is equal to 6)\u003Cbr>10 × ( 3 × 2 )\u003Cbr>A. 10 × ( 3 + 2 )\u003Cbr>B. ( 10 × 3 ) + 2\u003Cbr>C. ( 10 × 3 ) × 2\u003Cbr>D. 10 + ( 3 + 2 )\u003Cbr>7) Which expression is equal to 8)( 5 × 1 ) × 4\u003Cbr>A. 5 × ( 1 × 4 ) |  | C. ( 10 + 3 ) + 2\u003Cbr>D. 10 × ( 3 + 2 )\u003Cbr>Which expression is equal to 5 × ( 6 × 10 )\u003Cbr>A. ( 5 × 6 ) + 10\u003Cbr>B. ( 5 × 6 ) × 10\u003Cbr>C. 5 + ( 6 + 10 )\u003Cbr>D. 5 + ( 6 × 10 )\u003Cbr>Which expression is equal to 0 × ( 4 × 7 )\u003Cbr>A. 0 × ( 4 + 7 ) |  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.   |  |  |  |\n| B. 5 × ( 1 + 4 )\u003Cbr>C. ( 5 × 1 ) + 4 |  | B. ( 0 × 4 ) × 7\u003Cbr>C. 0 + ( 4 × 7 ) |  |  |  |  |  |  |  | 12.   |  |  |  |\n| D. ( 5 + 1 ) × 4 |  | D. ( 0 + 4 ) × 7 |  |  |  |  |  |  |  |  |  |  |  |\n| 9) Which expression is equal to 10) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 9 × 7 ) × 3 |  | ( 7 × 6 ) × 8 |  |  |  |  |  |  |  |  |  |  |  |\n| A. 9 × ( 7 × 3 ) |  | A. ( 7 + 6 ) × 8 |  |  |  |  |  |  |  |  |  |  |  |\n| B. 9 + ( 7 + 3 ) |  | B. 7 × ( 6 × 8 ) |  |  |  |  |  |  |  |  |  |  |  |\n| C. ( 9 + 7 ) + 3 |  | C. 7 + ( 6 + 8 ) |  |  |  |  |  |  |  |  |  |  |  |\n| D. 9 × ( 7 + 3 ) |  | D. 7 + ( 6 × 8 ) |  |  |  |  |  |  |  |  |  |  |  |\n| 11) Which expression is equal to 12) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 7 × 0 ) × 1 |  | ( 8 × 9 ) × 10 |  |  |  |  |  |  |  |  |  |  |  |\n| A. 7 × ( 0 × 1 ) |  | A. 8 × ( 9 × 10 ) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 7 + ( 0 × 1 ) |  | B. ( 8 + 9 ) + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| C. ( 7 × 0 ) + 1 |  | C. ( 8 × 9 ) + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| D. ( 7 + 0 ) + 1 |  | D. ( 8 + 9 ) × 10 |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 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\u003Cbr>8 × ( 1 × 3 ) ( 1 × 6 ) × 10\u003Cbr>A. ( 8 × 1 ) × 3 A. 1 × ( 6 × 10 )\u003Cbr>B. ( 8 + 1 ) + 3 B. 1 + ( 6 + 10 )\u003Cbr>C. 8 × ( 1 + 3 ) C. ( 1 + 6 ) × 10\u003Cbr>D. ( 8 + 1 ) × 3 D. ( 1 × 6 ) + 10\u003Cbr>3) Which expression is equal to 4) Which expression is equal to ( 0 × 1 ) × 3 ( 10 × 3 ) × 2\u003Cbr>A. ( 0 + 1 ) × 3 A. 10 × ( 3 × 2 )\u003Cbr>B. 0 + ( 1 × 3 ) B. ( 10 × 3 ) + 2 |  |  |  |  |  |  |  |  |  | 1.  A \u003Cbr>2.  A \u003Cbr>3.  D \u003Cbr>4.  A \u003Cbr>5.  C  |  |  |  |\n| C. 0 + ( 1 + 3 )\u003Cbr>D. 0 × ( 1 × 3 )\u003Cbr>5) Which expression is equal to 6)\u003Cbr>10 × ( 3 × 2 )\u003Cbr>A. 10 × ( 3 + 2 )\u003Cbr>B. ( 10 × 3 ) + 2\u003Cbr>C. ( 10 × 3 ) × 2\u003Cbr>D. 10 + ( 3 + 2 )\u003Cbr>7) Which expression is equal to 8)( 5 × 1 ) × 4\u003Cbr>A. 5 × ( 1 × 4 ) |  | C. ( 10 + 3 ) + 2\u003Cbr>D. 10 × ( 3 + 2 )\u003Cbr>Which expression is equal to 5 × ( 6 × 10 )\u003Cbr>A. ( 5 × 6 ) + 10\u003Cbr>B. ( 5 × 6 ) × 10\u003Cbr>C. 5 + ( 6 + 10 )\u003Cbr>D. 5 + ( 6 × 10 )\u003Cbr>Which expression is equal to 0 × ( 4 × 7 )\u003Cbr>A. 0 × ( 4 + 7 ) |  |  |  |  |  |  |  | 6.  B \u003Cbr>7.  A \u003Cbr>8.  B \u003Cbr>9.  A \u003Cbr>10.  B \u003Cbr>11.  A","cbCaiqBHHqRY7QiH","https://ap.wps.com/l/cbCaiqBHHqRY7QiH","pdf",43404,"English","# Determine Equivalent Multiplication Expressions\n## Problems 1-12","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices using the associative property of multiplication to identify equivalent expressions with regrouped factors.\"},{\"question\":\"How are the questions formatted?\",\"answer\":\"Each problem shows a product in one grouping and asks which option is equal to it, using multiple-choice letters.\"},{\"question\":\"Does the document include solutions?\",\"answer\":\"Yes. It includes an answer key that lists the correct choices for problems 1 through 12.\"}]","Finding Associative Property of Multiplication - Answer Key | PDF",1790794771]