[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480380-105":59,"doc-detail-480380-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 focused on multiplying rational numbers using the commutative property. Problems require rearranging factors to form equivalent multiplication expressions, including cases with mixed positive and negative fractions. An answer key provides the completed products for multiple items, illustrating how regrouping and commuting factors can simplify the computation. Results include both positive and negative integer outcomes, reinforcing sign handling and factor exchange.",{"@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/480380/",{"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/480380.png","ImageObject",300,407,{"name":92,"@type":93},"Ben ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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 do these problems practice?","Question",{"text":112,"@type":113},"They practice multiplying rational numbers and using the commutative property to rearrange factors for equivalent products.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the problems handle negative rational numbers?",{"text":117,"@type":113},"They include negative fractions and require correct sign rules when multiplying, reflected in the answer key results.",{"name":119,"@type":110,"acceptedAnswer":120},"Is an answer key provided?",{"text":121,"@type":113},"Yes. The document includes an answer key listing the correct products for the problems.","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},480380,1792833241,{"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) 4⁄5 × 4 × 15 =\u003Cbr>3) 8 × -1⁄2 × 14 × -5⁄7 × 4 =\u003Cbr>5) -1⁄7 × 6 × 1⁄2 × 21 × 2 =\u003Cbr>7) 2 × 2⁄5 × 21 × 3⁄7 × 10 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 9 × 1⁄2 × 9 × -2⁄3 × 4 =\u003Cbr>-6⁄7 × 4 × -1⁄2 × 21 × 9 =\u003Cbr>3⁄7 × 8 × 21 =\u003Cbr>-3⁄7 × 6 × -1⁄3 × 14 × 3 = |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) 2⁄7 × 8 × 21 = | 10) | 1⁄2 × 5 × 4 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 4⁄5 × 4 × 15 =(4⁄5 × 15) × 4\u003Cbr>12 × 4\u003Cbr>3) 8 × -1⁄2 × 14 × -5⁄7 × 4 = 8 × (-5⁄7 × 14) × (-1⁄2 × 4)\u003Cbr>8 × -10 × -2\u003Cbr>5) -1⁄7 × 6 × 1⁄2 × 21 × 2 =( 1⁄2 × 6) × (-1⁄7 × 21) × 2\u003Cbr>3 × -3 × 2\u003Cbr>7) 2 × 2⁄5 × 21 × 3⁄7 × 10 = 2 × (3⁄7 × 21) × (2⁄5 × 10)\u003Cbr>2 × 9 × 4 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 9 × 1⁄2 × 9 × -2⁄3 × 4 = 9 × (-2⁄3 × 9) × ( 1⁄2 × 4)\u003Cbr>9 × -6 × 2\u003Cbr>-6⁄7 × 4 × -1⁄2 × 21 × 9 =(-1⁄2 × 4) × (-6⁄7 × 21) × 9\u003Cbr>-2 × -18 × 9\u003Cbr>3⁄7 × 8 × 21 =(3⁄7 × 21) × 8\u003Cbr>9 × 8\u003Cbr>-3⁄7 × 6 × -1⁄3 × 14 × 3 =(-1⁄3 × 6) × (-3⁄7 × 14) × 3\u003Cbr>-2 × -6 × 3 | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. | Answers\u003Cbr>48 |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | -108 |\n|  |  |  |  | 160 |\n|  |  |  |  | 324 |\n|  |  |  |  | -18 |\n|  |  |  |  | 72 |\n|  |  |  |  | 72 |\n|  |  |  |  | 36 |\n|  |  |  |  | 48 |\n|  |  |  |  | 10 |\n|  |  |  |  |  |\n| 9) 2⁄7 × 8 × 21 =(2⁄7 × 21) × 8\u003Cbr>6 × 8 | 10) | 1⁄2 × 5 × 4 =( 1⁄2 × 4) × 5\u003Cbr>2 × 5 |  |  |\n\n[Math](Math www.CommonCoreSheets.com 10 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10 1-10)[ 10](Math www.CommonCoreSheets.com 10 1-10)[ 1-10](Math www.CommonCoreSheets.com 10 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| 160 72 -18 324\u003Cbr>48 -108 |  |  |  |  |  |  |  |\n| 1) 4⁄5 × 4 × 15 = 2) 9 × 1⁄2 × 9 × -2⁄3 × 4 =\u003Cbr>3) 8 × -1⁄2 × 14 × -5⁄7 × 4 = 4) -6⁄7 × 4 × -1⁄2 × 21 × 9 =\u003Cbr>5) -1⁄7 × 6 × 1⁄2 × 21 × 2 = 6) 3⁄7 × 8 × 21 = |  |  |  |  |  |  |  |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10","cbCaisX7f7x8Y7xl","https://ap.wps.com/l/cbCaisX7f7x8Y7xl","pdf",46049,"English","# Solve each problem\n## Use commutative property in multiplication\n## Check answers with answer key","[{\"question\":\"What skill do these problems practice?\",\"answer\":\"They practice multiplying rational numbers and using the commutative property to rearrange factors for equivalent products.\"},{\"question\":\"How do the problems handle negative rational numbers?\",\"answer\":\"They include negative fractions and require correct sign rules when multiplying, reflected in the answer key results.\"},{\"question\":\"Is an answer key provided?\",\"answer\":\"Yes. The document includes an answer key listing the correct products for the problems.\"}]","Multiplication of Rational Numbers with Commutative Property - Solve each problem | PDF",1790794893]