[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480389-105":59,"doc-detail-480389-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-commutative-property-solve-each-problem","Multiplication of Rational Numbers - Commutative Property - Solve Each Problem","","Worksheets and an answer key for multiplying rational numbers using the commutative property. Students solve a set of multiplication expressions involving fractions and negative values. The answer key rewrites each product by reordering factors to demonstrate commutativity, showing intermediate rearrangements and final results for each numbered problem. The material also provides a summary of answers to verify solutions.",{"@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-commutative-property-solve-each-problem/480389/",{"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-commutative-property-solve-each-problem/480389.png","ImageObject",300,407,{"name":92,"@type":93},"Ben ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","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 property is emphasized in these rational number multiplication problems?","Question",{"text":112,"@type":113},"The commutative property is emphasized, shown by reordering factors in the products without changing the result.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the problems include negative rational numbers?",{"text":117,"@type":113},"Yes. Several expressions involve negative fractions and negative intermediate products, and the answer key reflects the correct signs.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the answer key structured?",{"text":121,"@type":113},"Each answer shows a reordered multiplication setup (grouping factors differently) and then provides the final numeric answer for the corresponding problem number.","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},480389,1792878994,{"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},2336478951081,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Multiplication of Rational Numbers with Commutative Property Name:  \n\n| Solve each problem.\u003Cbr>1) 2⁄3 × 8 × 6 =\u003Cbr>3) -2⁄5 × 6 × 1⁄3 × 10 × 5 =\u003Cbr>5) 1⁄3 × 6 × 6 =\u003Cbr>7) 8 × 2⁄7 × 9 × 1⁄3 × 14 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 2⁄3 × 6 × 1⁄2 × 9 × 8 =\u003Cbr>3⁄5 × 6 × 15 =\u003Cbr>1⁄3 × 6 × -1⁄2 × 9 × 2 =\u003Cbr>8 × -6⁄7 × 15 × -4⁄5 × 14 = |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) 3 × -3⁄5 × 4 × -1⁄2 × 15 = | 10) | 4 × 4⁄5 × 4 × -1⁄2 × 15 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 2⁄3 × 8 × 6 =(2⁄3 × 6) × 8\u003Cbr>4 × 8\u003Cbr>3) -2⁄5 × 6 × 1⁄3 × 10 × 5 =( 1⁄3 × 6) × (-2⁄5 × 10) × 5\u003Cbr>2 × -4 × 5\u003Cbr>5) 1⁄3 × 6 × 6 =( 1⁄3 × 6) × 6\u003Cbr>2 × 6\u003Cbr>7) 8 × 2⁄7 × 9 × 1⁄3 × 14 = 8 × ( 1⁄3 × 9) × (2⁄7 × 14)\u003Cbr>8 × 3 × 4 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 2⁄3 × 6 × 1⁄2 × 9 × 8 =( 1⁄2 × 6) × (2⁄3 × 9) × 8\u003Cbr>3 × 6 × 8\u003Cbr>3⁄5 × 6 × 15 =(3⁄5 × 15) × 6\u003Cbr>9 × 6\u003Cbr>1⁄3 × 6 × -1⁄2 × 9 × 2 =(-1⁄2 × 6) × ( 1⁄3 × 9) × 2\u003Cbr>-3 × 3 × 2\u003Cbr>8 × -6⁄7 × 15 × -4⁄5 × 14 = 8 × (-4⁄5 × 15) × (-6⁄7 × 14)\u003Cbr>8 × -12 × -12 | Answers 1.  32  2.  144  3.  -40  4.  54  5.  12  6.  -18  7.  96  8.  1152  9.  54  10.  -96  |\n| --- | --- | --- | --- |\n| 9) 3 × -3⁄5 × 4 × -1⁄2 × 15 = 3 × (-1⁄2 × 4) × (-3⁄5 × 15)\u003Cbr>3 × -2 × -9 | 10) | 4 × 4⁄5 × 4 × -1⁄2 × 15 = 4 × (-1⁄2 × 4) × (4⁄5 × 15)\u003Cbr>4 × -2 × 12 |  |\n\n[Math](Math www.CommonCoreSheets.com 8 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8 1-10)[ 8](Math www.CommonCoreSheets.com 8 1-10)[ 1-10](Math www.CommonCoreSheets.com 8 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| 32 -40 54 144\u003Cbr>12 -18 |  |  |  |  |  |  |  |\n| 1) 2⁄3 × 8 × 6 = 2) 2⁄3 × 6 × 1⁄2 × 9 × 8 =\u003Cbr>3) -2⁄5 × 6 × 1⁄3 × 10 × 5 = 4) 3⁄5 × 6 × 15 =\u003Cbr>5) 1⁄3 × 6 × 6 = 6) 1⁄3 × 6 × -1⁄2 × 9 × 2 = |  |  |  |  |  |  |  |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8","cbCaio4AdKlZi9eT","https://ap.wps.com/l/cbCaio4AdKlZi9eT","pdf",45872,"English","# Solve Each Problem\n## Sample Multiplication Expressions\n## Answers and Verification","[{\"question\":\"What property is emphasized in these rational number multiplication problems?\",\"answer\":\"The commutative property is emphasized, shown by reordering factors in the products without changing the result.\"},{\"question\":\"Do the problems include negative rational numbers?\",\"answer\":\"Yes. Several expressions involve negative fractions and negative intermediate products, and the answer key reflects the correct signs.\"},{\"question\":\"How is the answer key structured?\",\"answer\":\"Each answer shows a reordered multiplication setup (grouping factors differently) and then provides the final numeric answer for the corresponding problem number.\"}]","Multiplication of Rational Numbers - Commutative Property - Solve Each Problem | PDF",1790794908]