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Problems present products of fractions and integers, including negative factors, requiring rearranging terms to simplify multiplication. The answer key shows equivalent regroupings of factors for each item and provides the final numerical results, covering multiple configurations of rational-number products.",{"@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-answer-key/480381/",{"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-answer-key/480381.png","ImageObject",300,407,{"name":92,"@type":93},"Ben ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What concept does this worksheet practice?","Question",{"text":112,"@type":113},"It practices multiplying rational numbers using the commutative property by rearranging factors to make multiplication easier.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the problems include negative numbers?",{"text":117,"@type":113},"Yes. Several items include negative fractions or negative integers, so signs must be handled correctly during multiplication.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide?",{"text":121,"@type":113},"The answer key lists the final results for each problem and shows how factors can be regrouped using the commutative property.","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},480381,1790862494,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},2336478951081,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","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  \n 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>","cbCaij49LrGwcMQu","https://ap.wps.com/l/cbCaij49LrGwcMQu","pdf",467028,"English","# Solve each problem\n## Multiplication with commutative regrouping\n## Answers and results","[{\"question\":\"What concept does this worksheet practice?\",\"answer\":\"It practices multiplying rational numbers using the commutative property by rearranging factors to make multiplication easier.\"},{\"question\":\"Do the problems include negative numbers?\",\"answer\":\"Yes. Several items include negative fractions or negative integers, so signs must be handled correctly during multiplication.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the final results for each problem and shows how factors can be regrouped using the commutative property.\"}]","Multiplication of Rational Numbers with Commutative Property - Solve each problem - Answer Key | PDF",1790794895,76]