[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480348-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-480348-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","finding-commutative-property-of-multiplication-answer-key","Finding Commutative Property of Multiplication - Answer Key","","Practice questions ask learners to identify which option correctly demonstrates the commutative property of multiplication. Each item presents multiplication expressions and related rewritten forms, then requires selecting the choice that shows swapping factors without changing the product. The answer key provides the selected letter (A–D) for each numbered problem, enabling self-check and quick verification of understanding of commutativity.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-commutative-property-of-multiplication-answer-key/480348/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-commutative-property-of-multiplication-answer-key/480348.png","ImageObject",300,407,{"name":42,"@type":43},"Aldword","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does it mean to show the commutative property of multiplication in these problems?","Question",{"text":62,"@type":63},"It means demonstrating that changing the order of the factors does not change the product, such as a × b equals b × a.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are the answers provided for each question?",{"text":67,"@type":63},"The answer key lists the correct option letter (A–D) for each numbered problem so learners can verify their selections.",{"name":69,"@type":60,"acceptedAnswer":70},"Are all choices in a problem always about commutativity?",{"text":71,"@type":63},"No. Some choices use addition, regrouping, or different operations; only the option that swaps factors to keep the same product matches commutativity.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},480348,1792947699,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Finding Commutative Property of Multiplication  \nName:  \n\n| Determine which choice best shows the commutative property of multiplication. |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) A. 1 × 3 = 3 2) A. 5 × (6 × 3) = (5 × 6) × 3\u003Cbr>B. 3 × (5 × 8) = (3 × 5) × 8 B. 1 × 5 = 5\u003Cbr>C. 3 × (5 + 8) = (3 × 5) + (3 × 8) C. 5 × (6 + 3) = (5 × 6) + (5 × 3)\u003Cbr>D. 3 × 5 = 5 × 3 D. 5 × 6 = 6 × 5\u003Cbr>3) A. (9 × 1) + (9 × 4) = 9 × (1 + 4) 4) A. (8 × 10) + (8 × 3) = 8 × (10 + 3)\u003Cbr>B. 9 × 1 = 9 B. 8 × 10 = 10 × 8 |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| C. (9 × 1) × 4 = 9 × (1 × 4)\u003Cbr>D. 9 × 1 = 1 × 9 |  | C. (8 × 10) × 3 = 8 × (10 × 3)\u003Cbr>D. 8 × 1 = 8 |  |  |  |  |  |  |  | 5.   |  |  |  |\n| 5) A. (8 × 0) + (8 × 1) = 8 × (0 + 1) 6)\u003Cbr>B. 8 × 0 = 0 × 8\u003Cbr>C. (8 × 0) × 1 = 8 × (0 × 1)\u003Cbr>D. 8 × 1 = 8\u003Cbr>7) A. 1 × 7 = 7 8)\u003Cbr>B. 7 × 2 = 2 × 7\u003Cbr>C. 7 × (2 + 0) = (7 × 2) + (7 × 0)\u003Cbr>D. 7 × (2 × 0) = (7 × 2) × 0\u003Cbr>9) A. (5 × 6) × 7 = 5 × (6 × 7) 10) |  | A. 9 × (1 × 8) = (9 × 1) × 8\u003Cbr>B. 9 × (1 + 8) = (9 × 1) + (9 × 8)\u003Cbr>C. 9 × 1 = 1 × 9\u003Cbr>D. 1 × 9 = 9\u003Cbr>A. 7 × 4 = 4 × 7\u003Cbr>B. 7 × (4 + 10) = (7 × 4) + (7 × 10)\u003Cbr>C. 1 × 7 = 7\u003Cbr>D. 7 × (4 × 10) = (7 × 4) × 10\u003Cbr>A. 3 × (6 × 1) = (3 × 6) × 1 |  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| B. 5 × 1 = 5 |  | B. 3 × 6 = 6 × 3 |  |  |  |  |  |  |  |  |  |  |  |\n| C. 5 × 6 = 6 × 5 |  | C. 1 × 3 = 3 |  |  |  |  |  |  |  |  |  |  |  |\n| D. (5 × 6) + (5 × 7) = 5 × (6 + 7) |  | D. 3 × (6 + 1) = (3 × 6) + (3 × 1) |  |  |  |  |  |  |  |  |  |  |  |\n| 11) A. 9 × 4 = 4 × 9 12) |  | A. (1 × 8) + (1 × 10) = 1 × (8 + 10) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 9 × (4 × 2) = (9 × 4) × 2 |  | B. 1 × 8 = 8 × 1 |  |  |  |  |  |  |  |  |  |  |  |\n| C. 1 × 9 = 9 |  | C. 1 × 1 = 1 |  |  |  |  |  |  |  |  |  |  |  |\n| D. 9 × (4 + 2) = (9 × 4) + (9 × 2) |  | D. (1 × 8) × 10 = 1 × (8 × 10) |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nFinding Commutative Property of Multiplication  \nName: Answer Key  \n\n| Determine which choice best shows the commutative property of multiplication. |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) A. 1 × 3 = 3 2) A. 5 × (6 × 3) = (5 × 6) × 3\u003Cbr>B. 3 × (5 × 8) = (3 × 5) × 8 B. 1 × 5 = 5\u003Cbr>C. 3 × (5 + 8) = (3 × 5) + (3 × 8) C. 5 × (6 + 3) = (5 × 6) + (5 × 3)\u003Cbr>D. 3 × 5 = 5 × 3 D. 5 × 6 = 6 × 5\u003Cbr>3) A. (9 × 1) + (9 × 4) = 9 × (1 + 4) 4) A. (8 × 10) + (8 × 3) = 8 × (10 + 3)\u003Cbr>B. 9 × 1 = 9 B. 8 × 10 = 10 × 8 |  |  |  |  |  |  |  |  |  | 1.  D \u003Cbr>2.  D \u003Cbr>3.  D \u003Cbr>4.  B  |  |  |  |\n| C. (9 × 1) × 4 = 9 × (1 × 4)\u003Cbr>D. 9 × 1 = 1 × 9\u003Cbr>5) A. (8 × 0) + (8 × 1) = 8 × (0 + 1) 6)\u003Cbr>B. 8 × 0 = 0 × 8\u003Cbr>C. (8 × 0) × 1 = 8 × (0 × 1)\u003Cbr>D. 8 × 1 = 8\u003Cbr>7) A. 1 × 7 = 7 8)\u003Cbr>B. 7 × 2 = 2 × 7\u003Cbr>C. 7 × (2 + 0) = (7 × 2) + (7 × 0)\u003Cbr>D. 7 × (2 × 0) = (7 × 2) × 0\u003Cbr>9) A. (5 × 6) × 7 = 5 × (6 × 7) 10) |  | C. (8 × 10) × 3 = 8 × (10 × 3)\u003Cbr>D. 8 × 1 = 8\u003Cbr>A. 9 × (1 × 8) = (9 × 1) × 8\u003Cbr>B. 9 × (1 + 8) = (9 × 1) + (9 × 8)\u003Cbr>C. 9 × 1 = 1 × 9\u003Cbr>D. 1 × 9 = 9\u003Cbr>A. 7 × 4 = 4 × 7\u003Cbr>B. 7 × (4 + 10) = (7 × 4) + (7 × 10)\u003Cbr>C. 1 × 7 = 7\u003Cbr>D. 7 × (4 × 10) = (7 × 4) × 10\u003Cbr>A. 3 × (6 × 1) = (3 × 6) × 1 |  |  |  |  |  |  |  | 5.  B \u003Cbr>6.  C \u003Cbr>7.  B \u003Cbr>8.  A \u003Cbr>9.  C \u003Cbr>10.  B \u003Cbr>11.  A \u003Cbr>12.  B  |  |  |  |\n| B. 5 × 1 = 5 |  | B. 3 × 6 = 6 × 3 |  |  |  |  |  |  |  |  |  |  |  |\n| C. 5 × 6 = 6 × 5 |  | C. 1 × 3 = 3 |  |  |  |  |  |  |  |  |  |  |  |\n| D. (5 × 6) + (5 × 7) = 5 × (6 + 7) |  | D. 3 × (6 + 1) = (3 × 6) + (3 × 1) |  |  |  |  |  |  |  |  |  |  |  |\n| 11) A. 9 × 4 = 4 × 9 12) |  | A. (1 × 8) + (1 × 10) = 1 × (8 + 10) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 9 × (4 × 2)","cbCaig8ug4bQLAA6","https://ap.wps.com/l/cbCaig8ug4bQLAA6","pdf",43477,"English","# Determine the commutative property of multiplication\n## Multiple-choice items 1-12\n## Answer selection (A-D)","[{\"question\":\"What does it mean to show the commutative property of multiplication in these problems?\",\"answer\":\"It means demonstrating that changing the order of the factors does not change the product, such as a × b equals b × a.\"},{\"question\":\"How are the answers provided for each question?\",\"answer\":\"The answer key lists the correct option letter (A–D) for each numbered problem so learners can verify their selections.\"},{\"question\":\"Are all choices in a problem always about commutativity?\",\"answer\":\"No. Some choices use addition, regrouping, or different operations; only the option that swaps factors to keep the same product matches commutativity.\"}]","Finding Commutative Property of Multiplication - Answer Key | PDF",1790794846]