[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464260-105":59,"doc-detail-464260-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","","Multiplication of rational numbers worksheet focused on using the commutative property to rearrange factors and simplify products. Problems require multiplying multiple positive and negative fractions and integers, then selecting or computing equivalent regrouped expressions. An accompanying answer key shows factor regrouping, with final results provided for each numbered item.",{"@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/464260/",{"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/464260.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What property is emphasized in these multiplication problems?","Question",{"text":112,"@type":113},"The worksheet emphasizes the commutative property, allowing factors to be reordered while keeping the product the same.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the problems include negative rational numbers?",{"text":117,"@type":113},"Yes. Several problems multiply negative fractions and negative integers, requiring correct sign handling.",{"name":119,"@type":110,"acceptedAnswer":120},"Where are the correct results provided?",{"text":121,"@type":113},"An included answer key lists the final answers for items 1 through 10.","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},464260,1790767936,{"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":8,"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":129,"read_time":39},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Multiplication of Rational Numbers with Commutative Property Name:  \n\n| Solve each problem.\u003Cbr>1) 3⁄5 × 10 × 15 =\u003Cbr>3) 1⁄2 × 14 × -5⁄7 × 6 × 9 =\u003Cbr>5) 1⁄3 × 10 × 6 =\u003Cbr>7) 2 × -1⁄2 × 6 × -2⁄3 × 4 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 4⁄7 × 2 × 14 =\u003Cbr>2⁄3 × 8 × 6 =\u003Cbr>7 × -1⁄5 × 6 × 1⁄3 × 10 =\u003Cbr>2 × -1⁄3 × 21 × -2⁄7 × 6 = |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) 1⁄7 × 10 × 2⁄5 × 21 × 3 = | 10) | -1⁄5 × 4 × -1⁄2 × 15 × 4 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 3⁄5 × 10 × 15 =(3⁄5 × 15) × 10\u003Cbr>9 × 10\u003Cbr>3) 1⁄2 × 14 × -5⁄7 × 6 × 9 =(-5⁄7 × 14) × ( 1⁄2 × 6) × 9\u003Cbr>-10 × 3 × 9\u003Cbr>5) 1⁄3 × 10 × 6 =( 1⁄3 × 6) × 10\u003Cbr>2 × 10\u003Cbr>7) 2 × -1⁄2 × 6 × -2⁄3 × 4 = 2 × (-2⁄3 × 6) × (-1⁄2 × 4)\u003Cbr>2 × -4 × -2 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 4⁄7 × 2 × 14 =(4⁄7 × 14) × 2\u003Cbr>8 × 2\u003Cbr>2⁄3 × 8 × 6 =(2⁄3 × 6) × 8\u003Cbr>4 × 8\u003Cbr>7 × -1⁄5 × 6 × 1⁄3 × 10 = 7 × ( 1⁄3 × 6) × (-1⁄5 × 10)\u003Cbr>7 × 2 × -2\u003Cbr>2 × -1⁄3 × 21 × -2⁄7 × 6 = 2 × (-2⁄7 × 21) × (-1⁄3 × 6)\u003Cbr>2 × -6 × -2 | Answers 1.  90  2.  16  3.  -270  4.  32  5.  20  6.  -28  7.  16  8.  24  9.  36  10.  24  |\n| --- | --- | --- | --- |\n| 9) 1⁄7 × 10 × 2⁄5 × 21 × 3 =(2⁄5 × 10) × ( 1⁄7 × 21) × 3\u003Cbr>4 × 3 × 3 | 10) | -1⁄5 × 4 × -1⁄2 × 15 × 4 =(-1⁄2 × 4) × (-1⁄5 × 15) × 4\u003Cbr>-2 × -3 × 4 |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-10)[ 1](Math www.CommonCoreSheets.com 1 1-10)[ 1-10](Math www.CommonCoreSheets.com 1 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\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| 16 -28 -270 90\u003Cbr>32 20 |  |  |  |  |  |  |\n| 1) 3⁄5 × 10 × 15 = 2) 4⁄7 × 2 × 14 =\u003Cbr>3) 1⁄2 × 14 × -5⁄7 × 6 × 9 = 4) 2⁄3 × 8 × 6 =\u003Cbr>5) 1⁄3 × 10 × 6 = 6) 7 × -1⁄5 × 6 × 1⁄3 × 10 = |  |  |  |  |  |  |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1","cbCaiindTWEkstiF","https://ap.wps.com/l/cbCaiindTWEkstiF","pdf",45696,"English","# Solve each problem\n## Items 1-10\n# Answer key","[{\"question\":\"What property is emphasized in these multiplication problems?\",\"answer\":\"The worksheet emphasizes the commutative property, allowing factors to be reordered while keeping the product the same.\"},{\"question\":\"Do the problems include negative rational numbers?\",\"answer\":\"Yes. Several problems multiply negative fractions and negative integers, requiring correct sign handling.\"},{\"question\":\"Where are the correct results provided?\",\"answer\":\"An included answer key lists the final answers for items 1 through 10.\"}]","Multiplication of Rational Numbers with Commutative Property - Solve each problem | PDF"]