[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480386-105":59,"doc-detail-480386-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 worksheet focused on multiplying rational numbers using the commutative property. Problems require rewriting factors to group products and apply sign rules when multiplying positive and negative fractions. An accompanying answer key demonstrates equivalent expressions formed by swapping factor order, then computing final integer or rational results. Items cover a range of fraction denominators and multi-factor products to reinforce procedural fluency and accurate 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each numbered problem.","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},480386,1792861211,{"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) 1⁄2 × 8 × 6 =\u003Cbr>3) -1⁄2 × 21 × -1⁄7 × 6 × 2 =\u003Cbr>5) 9 × 1⁄2 × 15 × -3⁄5 × 6 =\u003Cbr>7) -1⁄2 × 21 × 4⁄7 × 6 × 6 = | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | -1⁄7 × 10 × 3⁄5 × 14 × 6 =\u003Cbr>1⁄2 × 9 × 4 =\u003Cbr>9 × -1⁄2 × 6 × -1⁄3 × 4 =\u003Cbr>6 × -3⁄7 × 15 × -4⁄5 × 21 = |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) 2⁄5 × 21 × -3⁄7 × 15 × 7 = | 10) | -1⁄2 × 10 × 2⁄5 × 4 × 5 = |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \n Multiplication of Rational Numbers with Commutative Property Name: Answer Key  \n\n| Solve each problem.\u003Cbr>1) 1⁄2 × 8 × 6 =( 1⁄2 × 6) × 8\u003Cbr>3 × 8\u003Cbr>3) -1⁄2 × 21 × -1⁄7 × 6 × 2 =(-1⁄7 × 21) × (-1⁄2 × 6) × 2\u003Cbr>-3 × -3 × 2\u003Cbr>5) 9 × 1⁄2 × 15 × -3⁄5 × 6 = 9 × (-3⁄5 × 15) × ( 1⁄2 × 6)\u003Cbr>9 × -9 × 3\u003Cbr>7) -1⁄2 × 21 × 4⁄7 × 6 × 6 =(4⁄7 × 21) × (-1⁄2 × 6) × 6\u003Cbr>12 × -3 × 6 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) | -1⁄7 × 10 × 3⁄5 × 14 × 6 =(3⁄5 × 10) × (-1⁄7 × 14) × 6\u003Cbr>6 × -2 × 6\u003Cbr>1⁄2 × 9 × 4 =( 1⁄2 × 4) × 9\u003Cbr>2 × 9\u003Cbr>9 × -1⁄2 × 6 × -1⁄3 × 4 = 9 × (-1⁄3 × 6) × (-1⁄2 × 4)\u003Cbr>9 × -2 × -2\u003Cbr>6 × -3⁄7 × 15 × -4⁄5 × 21 = 6 × (-4⁄5 × 15) × (-3⁄7 × 21)\u003Cbr>6 × -12 × -9 |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  | Answers\u003Cbr>24 |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | -72 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 18 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 18 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | -243 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 36 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | -216 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 648 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | -378 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | -40 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) 2⁄5 × 21 × -3⁄7 × 15 × 7 =(-3⁄7 × 21) × (2⁄5 × 15) × 7\u003Cbr>-9 × 6 × 7 | 10) | -1⁄2 × 10 × 2⁄5 × 4 × 5 =(2⁄5 × 10) × (-1⁄2 × 4) × 5\u003Cbr>4 × -2 × 5 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 | 50 | 40 |  | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \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| -243 18 18 24\u003Cbr>-72 36 |  |  |  |  |  |  |  |\n| 1) 1⁄2 × 8 × 6 = 2) -1⁄7 × 10 × 3⁄5 × 14 × 6 =\u003Cbr>3) -1⁄2 × 21 × -1⁄7 × 6 × 2 = 4) 1⁄2 × 9 × 4 =\u003Cbr>5) 9 × 1⁄2 × 15 × -3⁄5 × 6 = 6) 9 × -1⁄2 × 6 × -1⁄3 × 4 = |  |  |  |  |  |  |  |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4","cbCaiiSL4pOVvA6Z","https://ap.wps.com/l/cbCaiiSL4pOVvA6Z","pdf",46177,"English","# Solve Each Problem\n## Rational Number Multiplication\n## Apply Commutative Property\n## Check Answers","[{\"question\":\"What property is used in these rational number multiplication problems?\",\"answer\":\"The worksheet uses the commutative property, allowing factors to be swapped without changing the product.\"},{\"question\":\"How should you handle negative fractions when multiplying?\",\"answer\":\"Multiply the numerators and denominators, and apply sign rules: the product is negative if there is an odd number of negative factors.\"},{\"question\":\"Where can students find the correct results?\",\"answer\":\"An answer key is provided with the final answers for each numbered problem.\"}]","Multiplication of Rational Numbers with Commutative Property - Solve each problem | PDF",1790794903]