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The problems require reorganizing factors to make computation easier, including products with positive fractions, negative fractions, and multiple multipliers. A structured set of prompts (numbered items) is matched with a corresponding answer list, demonstrating simplified equivalent forms and final results for each expression.",{"@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/480385/",{"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/480385.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":29},"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 while using the commutative property to rearrange factors for easier calculation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the problems include negative rational numbers?",{"text":117,"@type":113},"Yes. Several expressions include negative fractions, so sign handling is part of the task.",{"name":119,"@type":110,"acceptedAnswer":120},"Is an answer key provided?",{"text":121,"@type":113},"Yes. The document includes an answer key listing the final answers for the numbered 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},480385,1792862259,{"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":29,"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) 6 × 1⁄2 × 6 × 2⁄3 × 4 =\u003Cbr>3) -2⁄5 × 6 × -1⁄2 × 15 × 7 =\u003Cbr>5) 1⁄2 × 8 × 4 =\u003Cbr>7) 6 × 1⁄5 × 4 × -1⁄2 × 15 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 2⁄3 × 2 × 9 =\u003Cbr>2⁄3 × 14 × 4⁄7 × 6 × 2 =\u003Cbr>9 × -2⁄5 × 9 × -2⁄3 × 10 =\u003Cbr>1⁄2 × 6 × 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) 10 × -1⁄3 × 10 × 1⁄5 × 9 = | 10) | -4⁄7 × 4 × -1⁄2 × 21 × 10 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 6 × 1⁄2 × 6 × 2⁄3 × 4 = 6 × (2⁄3 × 6) × ( 1⁄2 × 4)\u003Cbr>6 × 4 × 2\u003Cbr>3) -2⁄5 × 6 × -1⁄2 × 15 × 7 =(-1⁄2 × 6) × (-2⁄5 × 15) × 7\u003Cbr>-3 × -6 × 7\u003Cbr>5) 1⁄2 × 8 × 4 =( 1⁄2 × 4) × 8\u003Cbr>2 × 8\u003Cbr>7) 6 × 1⁄5 × 4 × -1⁄2 × 15 = 6 × (-1⁄2 × 4) × ( 1⁄5 × 15)\u003Cbr>6 × -2 × 3 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 2⁄3 × 2 × 9 =(2⁄3 × 9) × 2\u003Cbr>6 × 2\u003Cbr>2⁄3 × 14 × 4⁄7 × 6 × 2 =(4⁄7 × 14) × (2⁄3 × 6) × 2\u003Cbr>8 × 4 × 2\u003Cbr>9 × -2⁄5 × 9 × -2⁄3 × 10 = 9 × (-2⁄3 × 9) × (-2⁄5 × 10)\u003Cbr>9 × -6 × -4\u003Cbr>1⁄2 × 6 × 6 =( 1⁄2 × 6) × 6\u003Cbr>3 × 6 | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. | Answers\u003Cbr>48 |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | 12 |\n|  |  |  |  | 126 |\n|  |  |  |  | 64 |\n|  |  |  |  | 16 |\n|  |  |  |  | 216 |\n|  |  |  |  | -36 |\n|  |  |  |  | 18 |\n|  |  |  |  | -60 |\n|  |  |  |  | 240 |\n|  |  |  |  |  |\n| 9) 10 × -1⁄3 × 10 × 1⁄5 × 9 = 10 × ( 1⁄5 × 10) × (-1⁄3 × 9)\u003Cbr>10 × 2 × -3 | 10) | -4⁄7 × 4 × -1⁄2 × 21 × 10 =(-1⁄2 × 4) × (-4⁄7 × 21) × 10\u003Cbr>-2 × -12 × 10 |  |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-10)[ 5](Math www.CommonCoreSheets.com 5 1-10)[ 1-10](Math www.CommonCoreSheets.com 5 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| 216 12 16 64\u003Cbr>48 126 |  |  |  |  |  |  |  |\n| 1) 6 × 1⁄2 × 6 × 2⁄3 × 4 = 2) 2⁄3 × 2 × 9 =\u003Cbr>3) -2⁄5 × 6 × -1⁄2 × 15 × 7 = 4) 2⁄3 × 14 × 4⁄7 × 6 × 2 =\u003Cbr>5) 1⁄2 × 8 × 4 = 6) 9 × -2⁄5 × 9 × -2⁄3 × 10 = |  |  |  |  |  |  |  |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5","cbCaiiKh69cT6Bxp","https://ap.wps.com/l/cbCaiiKh69cT6Bxp","pdf",46139,"English","# Solve each problem\n## Compute using commutative property\n## Check answers","[{\"question\":\"What skill do these problems practice?\",\"answer\":\"They practice multiplying rational numbers while using the commutative property to rearrange factors for easier calculation.\"},{\"question\":\"Do the problems include negative rational numbers?\",\"answer\":\"Yes. Several expressions include negative fractions, so sign handling is part of the task.\"},{\"question\":\"Is an answer key provided?\",\"answer\":\"Yes. The document includes an answer key listing the final answers for the numbered problems.\"}]","Multiplication of Rational Numbers with Commutative Property - Solve Each Problem | PDF",1790794903]