[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480822-105":59,"doc-detail-480822-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","using-the-distributive-property-with-decimals-and-mixed-numbers-math-worksheet","Using the Distributive Property with Decimals and Mixed Numbers - Math Worksheet","","Using the Distributive Property with decimals and mixed numbers worksheet that breaks each multiplication problem into two addends, fills in missing factors, and combines partial products to get final results. Includes practice items such as multiplying whole numbers by fractions (e.g., x 57/10, 21/3) and by decimal values (e.g., 4.5, 4.4, 9.3, 9.5). An answer section provides completed decompositions and final answers for verification, reinforcing step-by-step 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method does the worksheet practice for these multiplication problems?","Question",{"text":112,"@type":113},"It practices using the distributive property to break each number into parts and then multiply each part separately before adding the results.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the numbers split in each question?",{"text":117,"@type":113},"Each decimal or mixed value is split into components (such as an integer part and a fractional/decimal part) so the multiplication becomes a sum of two products.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the completed answers be found?",{"text":121,"@type":113},"The document includes an answer key section that lists the final results for each numbered 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~~10~~ ~~) =+ = \u003Cbr>2) 5 × 4.5 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>3) 3 × 21⁄ 3 = (3 ×  ) + (3 ×~~ ~~3~~ ~~) =  +   =  4) 7 × 4.4 = (7 ×  ) + (7 ×  ) =  +   = \u003Cbr>5) 9 × 9.3 = (9 ×  ) + (9 ×  ) =  +   = \u003Cbr>6) 5 × 91⁄ 5 = (5 ×  ) + (5 ×~~ ~~5~~ ~~) =  +   =  7) 3 × 61⁄ 3 = (3 ×  ) + (3 ×~~ ~~3~~ ~~) =  +   = \u003Cbr>8) 5 × 2.9 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>9) 8 × 9.5 = (8 ×  ) + (8 ×  ) =  +   = \u003Cbr>10) 4 × 53⁄ 4 = (4 ×  ) + (4 ×~~ ~~4~~ ~~) =  +   =  11) 6 × 4.2 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>12) 6 × 25⁄ 6 = (6 ×  ) + (6 ×~~ ~~6~~ ~~) =  +   =  | Answers |\n| --- | --- |\n|  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nUsing the Distributive Property with Decimals and Mixed Numbers Name: Answer Key  \n\n| Break apart each number and fill in the blanks to solve.\u003Cbr>1) 10 × 57⁄ 10 = (10 × 5 ) + (10 ×~~ ~~170~~ ~~) = 50 + 7 = 57  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  57  |  |  |  |\n| 2) | 5 × 4.5 = (5 × 4 ) + (5 × 0.5 ) = 20 + 2.5 = 22.5  |  |  |  |  |  |  |  |  | 2.  22.5 \u003Cbr>3.  7  |  |  |  |\n| 3) | 3 × 21⁄ 3 = (3 × 2 ) + (3 ×~~ ~~13~~ ~~) = 6 + 1 = 7  |  |  |  |  |  |  |  |  | 4.  30.8  |  |  |  |\n| 4) | 7 × 4.4 = (7 × 4 ) + (7 × 0.4 ) = 28 + 2.8 = 30.8  |  |  |  |  |  |  |  |  | 5.  83.7 \u003Cbr>6.  46  |  |  |  |\n| 5) | 9 × 9.3 = (9 × 9 ) + (9 × 0.3 ) = 81 + 2.7 = 83.7  |  |  |  |  |  |  |  |  | 7.  19 \u003Cbr>8.  14.5  |  |  |  |\n| 6) | 5 × 91⁄ 5 = (5 × 9 ) + (5 ×~~ ~~15~~ ~~) = 45 + 1 = 46  |  |  |  |  |  |  |  |  | 9.  76  |  |  |  |\n| 7) | 3 × 61⁄ 3 = (3 × 6 ) + (3 ×~~ ~~13~~ ~~) = 18 + 1 = 19  |  |  |  |  |  |  |  |  | 10.  23 \u003Cbr>11.  25.2  |  |  |  |\n| 8) | 5 × 2.9 = (5 × 2 ) + (5 × 0.9 ) = 10 + 4.5 = 14.5  |  |  |  |  |  |  |  |  | 12.  17  |  |  |  |\n| 9) | 8 × 9.5 = (8 × 9 ) + (8 × 0.5 ) = 72 + 4 = 76  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 4 × 53⁄ 4 = (4 × 5 ) + (4 ×~~ ~~34~~ ~~) = 20 + 3 = 23  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 6 × 4.2 = (6 × 4 ) + (6 × 0.2 ) = 24 + 1.2 = 25.2  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 6 × 25⁄ 6 = (6 × 2 ) + (6 ×~~ ~~56~~ ~~) = 12 + 5 = 17  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 8 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nUsing the Distributive Property with Decimals and Mixed Numbers Name:  \n\n| Break apart each number and fill in the blanks to solve.\u003Cbr>1) 10 × 57⁄ 10 = (10 ×  ) + (10 ×~~ ~~10~~ ~~) =+ = \u003Cbr>2) 5 × 4.5 = (5 ×  ) + (5 ×   ) =+ = \u003Cbr>3) 3 × 21⁄ 3 = (3 ×   ) + (3 ×~~ ~~3~~ ~~) =  +  = \u003Cbr>4) 7 × 4.4 = (7 ×  ) + (7 ×   ) =+ = \u003Cbr>5) 9 × 9.3 = (9 ×  ) + (9 ×   ) =+ = \u003Cbr>6) 5 × 91⁄ 5 = (5 ×   ) + (5 ×~~ ~~5~~ ~~) =  +  = \u003Cbr>7) 3 × 61⁄ 3 = (3 ×   ) + (3 ×~~ ~~3~~ ~~) =  +  = \u003Cbr>8) 5 × 2.9 = (5 ×  ) + (5 ×   ) =+ =  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |\n| 1-8 | 88 | 75 | 63 | 50 |  | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8","cbCaieeCs9Vb5Xhu","https://ap.wps.com/l/cbCaieeCs9Vb5Xhu","pdf",46429,"English","# Break Apart and Fill Blanks\n## Problems 1-12\n## Answer Key\n## Additional Practice 1-8","[{\"question\":\"What method does the worksheet practice for these multiplication problems?\",\"answer\":\"It practices using the distributive property to break each number into parts and then multiply each part separately before adding the results.\"},{\"question\":\"How are the numbers split in each question?\",\"answer\":\"Each decimal or mixed value is split into components (such as an integer part and a fractional/decimal part) so the multiplication becomes a sum of two products.\"},{\"question\":\"Where can the completed answers be found?\",\"answer\":\"The document includes an answer key section that lists the final results for each numbered problem.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Math Worksheet | PDF",1790795651]