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Solutions provide final results for each 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to solve.\u003Cbr>1) 2 × 3.6 = (2 ×  ) + (2 ×  ) =  +   = \u003Cbr>2) 12 × 45⁄ 6 = (12 ×   ) + (12 ×~~ ~~6~~ ~~) =+ =  3) 3 × 2.5 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>4) 5 × 41⁄ 5 = (5 ×  ) + (5 ×~~ ~~5~~ ~~) =  +   =  5) 4 × 91⁄ 2 = (4 ×  ) + (4 ×~~ ~~2~~ ~~) =  +   =  6) 2 × 6.7 = (2 ×  ) + (2 ×  ) =  +   = \u003Cbr>7) 4 × 3.7 = (4 ×  ) + (4 ×  ) =  +   = \u003Cbr>8) 6 × 65⁄ 6 = (6 ×  ) + (6 ×~~ ~~6~~ ~~) =  +   =  9) 8 × 41⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   = \u003Cbr>10) 5 × 2.5 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>11) 6 × 7.2 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>12) 12 × 41⁄ 2 = (12 ×   ) + (12 ×~~ ~~2~~ ~~) =+ =  | 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)  \n3  \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) 2 × 3.6 = (2 × 3 ) + (2 × 0.6 ) = 6 + 1.2 = 7.2  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  7.2  |  |  |  |\n| 2) | 12 × 45⁄ 6 = (12 × 4 ) + (12 ×~~ ~~56~~ ~~) = 48 + 10 = 58  |  |  |  |  |  |  |  |  | 2.  58 \u003Cbr>3.  7.5  |  |  |  |\n| 3) | 3 × 2.5 = (3 × 2 ) + (3 × 0.5 ) = 6 + 1.5 = 7.5  |  |  |  |  |  |  |  |  | 4.  21  |  |  |  |\n| 4) | 5 × 41⁄ 5 = (5 × 4 ) + (5 ×~~ ~~15~~ ~~) = 20 + 1 = 21  |  |  |  |  |  |  |  |  | 5.  38 \u003Cbr>6.  13.4  |  |  |  |\n| 5) | 4 × 91⁄ 2 = (4 × 9 ) + (4 ×~~ ~~12~~ ~~) = 36 + 2 = 38  |  |  |  |  |  |  |  |  | 7.  14.8 \u003Cbr>8.  41  |  |  |  |\n| 6) | 2 × 6.7 = (2 × 6 ) + (2 × 0.7 ) = 12 + 1.4 = 13.4  |  |  |  |  |  |  |  |  | 9.  33  |  |  |  |\n| 7) | 4 × 3.7 = (4 × 3 ) + (4 × 0.7 ) = 12 + 2.8 = 14.8  |  |  |  |  |  |  |  |  | 10.  12.5 \u003Cbr>11.  43.2  |  |  |  |\n| 8) | 6 × 65⁄ 6 = (6 × 6 ) + (6 ×~~ ~~56~~ ~~) = 36 + 5 = 41  |  |  |  |  |  |  |  |  | 12.  54  |  |  |  |\n| 9) | 8 × 41⁄ 8 = (8 × 4 ) + (8 ×~~ ~~18~~ ~~) = 32 + 1 = 33  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 5 × 2.5 = (5 × 2 ) + (5 × 0.5 ) = 10 + 2.5 = 12.5  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 6 × 7.2 = (6 × 7 ) + (6 × 0.2 ) = 42 + 1.2 = 43.2  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 12 × 41⁄ 2 = (12 × 4 ) + (12 ×~~ ~~12~~ ~~) = 48 + 6 = 54  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 3 | 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) 2 × 3.6 = (2 ×  ) + (2 ×   ) =+ = \u003Cbr>2) 12 × 45⁄ 6 = (12 ×  ) + (12 ×~~ ~~6~~ ~~) =+ = \u003Cbr>3) 3 × 2.5 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>4) 5 × 41⁄ 5 = (5 ×   ) + (5 ×~~ ~~5~~ ~~) =  +  = \u003Cbr>5) 4 × 91⁄ 2 = (4 ×   ) + (4 ×~~ ~~2~~ ~~) =  +  = \u003Cbr>6) 2 × 6.7 = (2 ×  ) + (2 ×   ) =+ = \u003Cbr>7) 4 × 3.7 = (4 ×  ) + (4 ×   ) =+ = \u003Cbr>8) 6 × 65⁄ 6 = (6 ×   ) + (6 ×~~ ~~6~~ ~~) =  +  =  |  |  |  |  | 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)  \n3","cbCaibwJj4IeyL8I","https://ap.wps.com/l/cbCaibwJj4IeyL8I","pdf",46380,"English","# Break apart numbers\n## Decimal multiplication examples\n## Mixed-number and fraction multiplication","[{\"question\":\"What does the distributive property require for these problems?\",\"answer\":\"It requires breaking one factor into addable parts, multiplying each part separately, and then adding the products to get the final result.\"},{\"question\":\"How are decimals handled in the worksheet equations?\",\"answer\":\"Decimals are split into whole-number and fractional parts (e.g., 3.6 becomes 3 and 0.6), and each part is multiplied accordingly before adding.\"},{\"question\":\"What kinds of fraction or mixed-number factors appear?\",\"answer\":\"Problems include fractions written as improper or fraction terms (e.g., 45/6, 41/2, 65/6, 41/8), which are decomposed so multiplication can be completed using the distributive property.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Answer Key | PDF",1790795643]