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Each problem presents a product of several rational factors, including positive and negative values, that must be rearranged or grouped to simplify the multiplication. The answer key provides the stepwise regrouping into convenient factor pairs and the final computed results for each listed item, supporting checking and learning of sign handling and commutativity.",{"@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-answer-key/480383/",{"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-answer-key/480383.png","ImageObject",300,407,{"name":92,"@type":93},"Ben 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answers for each problem from the worksheet.","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},480383,1792861823,{"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) 9 × -4⁄5 × 21 × 4⁄7 × 15 =\u003Cbr>3) 1⁄7 × 9 × -2⁄3 × 14 × 10 =\u003Cbr>5) -2⁄3 × 10 × 4⁄5 × 9 × 10 =\u003Cbr>7) 1⁄2 × 3 × 6 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 2 × -2⁄3 × 6 × -1⁄2 × 9 =\u003Cbr>-1⁄3 × 4 × -1⁄2 × 9 × 2 =\u003Cbr>3⁄5 × 9 × 15 =\u003Cbr>-2⁄5 × 6 × 1⁄3 × 10 × 5 = |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) 1⁄2 × 14 × 1⁄7 × 4 × 7 = | 10) | 9 × -1⁄2 × 6 × 2⁄3 × 4 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 9 × -4⁄5 × 21 × 4⁄7 × 15 = 9 × (4⁄7 × 21) × (-4⁄5 × 15)\u003Cbr>9 × 12 × -12\u003Cbr>3) 1⁄7 × 9 × -2⁄3 × 14 × 10 =(-2⁄3 × 9) × ( 1⁄7 × 14) × 10\u003Cbr>-6 × 2 × 10\u003Cbr>5) -2⁄3 × 10 × 4⁄5 × 9 × 10 =(4⁄5 × 10) × (-2⁄3 × 9) × 10\u003Cbr>8 × -6 × 10\u003Cbr>7) 1⁄2 × 3 × 6 =( 1⁄2 × 6) × 3\u003Cbr>3 × 3 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | 2 × -2⁄3 × 6 × -1⁄2 × 9 = 2 × (-1⁄2 × 6) × (-2⁄3 × 9)\u003Cbr>2 × -3 × -6\u003Cbr>-1⁄3 × 4 × -1⁄2 × 9 × 2 =(-1⁄2 × 4) × (-1⁄3 × 9) × 2\u003Cbr>-2 × -3 × 2\u003Cbr>3⁄5 × 9 × 15 =(3⁄5 × 15) × 9\u003Cbr>9 × 9\u003Cbr>-2⁄5 × 6 × 1⁄3 × 10 × 5 =( 1⁄3 × 6) × (-2⁄5 × 10) × 5\u003Cbr>2 × -4 × 5 | Answers 1.  -1296  2.  36  3.  -120  4.  12  5.  -480  6.  81  7.  9  8.  -40  9.  28  10.  -72  |\n| --- | --- | --- | --- |\n| 9) 1⁄2 × 14 × 1⁄7 × 4 × 7 =( 1⁄7 × 14) × ( 1⁄2 × 4) × 7\u003Cbr>2 × 2 × 7 | 10) | 9 × -1⁄2 × 6 × 2⁄3 × 4 = 9 × (2⁄3 × 6) × (-1⁄2 × 4)\u003Cbr>9 × 4 × -2 |  |\n\n[Math](Math www.CommonCoreSheets.com 2 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2 1-10)[ 2](Math www.CommonCoreSheets.com 2 1-10)[ 1-10](Math www.CommonCoreSheets.com 2 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| -120 -1296 36 -480\u003Cbr>12 81 |  |  |  |  |  |  |  |\n| 1) 9 × -4⁄5 × 21 × 4⁄7 × 15 = 2) 2 × -2⁄3 × 6 × -1⁄2 × 9 =\u003Cbr>3) 1⁄7 × 9 × -2⁄3 × 14 × 10 = 4) -1⁄3 × 4 × -1⁄2 × 9 × 2 =\u003Cbr>5) -2⁄3 × 10 × 4⁄5 × 9 × 10 = 6) 3⁄5 × 9 × 15 = |  |  |  |  |  |  |  |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2","cbCaibau3FQt4TZ8","https://ap.wps.com/l/cbCaibau3FQt4TZ8","pdf",46367,"English","# Solve each problem\n## Problems 1-8\n## Problems 9-10\n# Answers","[{\"question\":\"What property is used to help multiply the rational numbers in these problems?\",\"answer\":\"The commutative property is used to rearrange factors so they can be grouped and multiplied more conveniently.\"},{\"question\":\"How are negative signs handled in the multiplication?\",\"answer\":\"The sign rules apply through the products: a negative factor changes the sign of the result, and multiple negatives can produce a positive outcome.\"},{\"question\":\"Where can the final results be found?\",\"answer\":\"The answer key lists the final numeric answers for each problem from the worksheet.\"}]","Multiplication of Rational Numbers with Commutative Property - Answer Key | PDF",1790794897]