[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480387-105":59,"doc-detail-480387-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","multiplication-of-rational-numbers-with-commutative-property-solve-each-problem","Multiplication of Rational Numbers with Commutative Property - Solve each problem","","Practice set on multiplying rational numbers using the commutative property. Items require computing products of fractions and integers, including cases with negative factors. The material presents a list of solve-for answers problems and an answer key showing re-grouping of factors using commutativity (changing the order of multiplication) to simplify the computation. Includes multiple numbered questions and corresponding results.",{"@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/multiplication-of-rational-numbers-with-commutative-property-solve-each-problem/480387/",{"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/multiplication-of-rational-numbers-with-commutative-property-solve-each-problem/480387.png","ImageObject",300,407,{"name":92,"@type":93},"Ben ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","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 math concept is emphasized in this worksheet?","Question",{"text":112,"@type":113},"The worksheet focuses on multiplying rational numbers using the commutative property, allowing factors to be rearranged in products.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do problems include negative rational numbers?",{"text":117,"@type":113},"Yes. Several questions use a negative factor (e.g., -2/5 or -1/2), and the answer key reflects the correct sign.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the solutions in the answer key presented?",{"text":121,"@type":113},"The answer key shows products being regrouped by reordering factors, then multiplying to reach the final numerical answers for each problem.","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},480387,1792861395,{"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},2336478951081,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Multiplication of Rational Numbers with Commutative Property Name:  \n\n| Solve each problem.\u003Cbr>1) 3 × -2⁄5 × 14 × 3⁄7 × 10 =\u003Cbr>3) 1⁄2 × 5 × 4 =\u003Cbr>5) 1⁄2 × 15 × 4⁄5 × 6 × 3 =\u003Cbr>7) 1⁄2 × 2 × 4 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 3⁄5 × 2 × 10 =\u003Cbr>4⁄5 × 21 × 5⁄7 × 10 × 7 =\u003Cbr>9 × 1⁄2 × 21 × 4⁄7 × 4 =\u003Cbr>4 × -1⁄2 × 21 × 4⁄7 × 4 = |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) 2⁄3 × 7 × 9 = | 10) | 2⁄3 × 9 × 6 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 | 50 | 40 |  | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 3 × -2⁄5 × 14 × 3⁄7 × 10 = 3 × (3⁄7 × 14) × (-2⁄5 × 10)\u003Cbr>3 × 6 × -4\u003Cbr>3) 1⁄2 × 5 × 4 =( 1⁄2 × 4) × 5\u003Cbr>2 × 5\u003Cbr>5) 1⁄2 × 15 × 4⁄5 × 6 × 3 =(4⁄5 × 15) × ( 1⁄2 × 6) × 3\u003Cbr>12 × 3 × 3\u003Cbr>7) 1⁄2 × 2 × 4 =( 1⁄2 × 4) × 2\u003Cbr>2 × 2 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 3⁄5 × 2 × 10 =(3⁄5 × 10) × 2\u003Cbr>6 × 2\u003Cbr>4⁄5 × 21 × 5⁄7 × 10 × 7 =( 5⁄7 × 21) × (4⁄5 × 10) × 7\u003Cbr>15 × 8 × 7\u003Cbr>9 × 1⁄2 × 21 × 4⁄7 × 4 = 9 × (4⁄7 × 21) × ( 1⁄2 × 4)\u003Cbr>9 × 12 × 2\u003Cbr>4 × -1⁄2 × 21 × 4⁄7 × 4 = 4 × (4⁄7 × 21) × (-1⁄2 × 4)\u003Cbr>4 × 12 × -2 |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  |  | Answers\u003Cbr>-72 |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 12 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 10 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 840 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 108 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 216 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 4 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | -96 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 42 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 36 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) 2⁄3 × 7 × 9 =(2⁄3 × 9) × 7\u003Cbr>6 × 7 | 10) | 2⁄3 × 9 × 6 =(2⁄3 × 6) × 9\u003Cbr>4 × 9 |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 |  | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \n Multiplication of Rational Numbers with Commutative Property Name:  \n\n| Solve each problem. | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 216 108 12 -72\u003Cbr>10 840 |  |  |  |  |  |  |\n| 1) 3 × -2⁄5 × 14 × 3⁄7 × 10 = 2) 3⁄5 × 2 × 10 =\u003Cbr>3) 1⁄2 × 5 × 4 = 4) 4⁄5 × 21 × 5⁄7 × 10 × 7 =\u003Cbr>5) 1⁄2 × 15 × 4⁄5 × 6 × 3 = 6) 9 × 1⁄2 × 21 × 4⁄7 × 4 = |  |  |  |  |  |  |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6","cbCaiaEkDKfmbZrf","https://ap.wps.com/l/cbCaiaEkDKfmbZrf","pdf",45648,"English","# Solve each problem\n## Practice problems with rational numbers\n## Answer key","[{\"question\":\"What math concept is emphasized in this worksheet?\",\"answer\":\"The worksheet focuses on multiplying rational numbers using the commutative property, allowing factors to be rearranged in products.\"},{\"question\":\"Do problems include negative rational numbers?\",\"answer\":\"Yes. Several questions use a negative factor (e.g., -2/5 or -1/2), and the answer key reflects the correct sign.\"},{\"question\":\"How are the solutions in the answer key presented?\",\"answer\":\"The answer key shows products being regrouped by reordering factors, then multiplying to reach the final numerical answers for each problem.\"}]","Multiplication of Rational Numbers with Commutative Property - Solve each problem | PDF",1790794906]