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|  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 5 × 81⁄ 5 = (5 ×  ) + (5 ×~~ ~~5~~ ~~) =  +   = \u003Cbr>2) 6 × 4.3 = (6 ×  ) + (6 ×  ) =  +   =  |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.   |  |  |  |\n| 3) | 8 × 7.5 = (8 ×  ) + (8 ×  ) =  +   =  |  |  |  |  |  |  |  |  | 3.  \u003Cbr>4.   |  |  |  |\n| 4)\u003Cbr>5) | 10 × 82⁄ 5 = (10 ×   ) + (10 × 5 ) =+ =  5 × 7.6 = (5 ×  ) + (5 ×  ) =  +   =  |  |  |  |  |  |  |  |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |\n| 6) | 4 × 23⁄ 4 = (4 ×  ) + (4 × 4 ) =  +   =  |  |  |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 7)\u003Cbr>8) | 6 × 21⁄ 3 = (6 ×  ) + (6 × 3 ) =  +   =  6 × 2.5 = (6 ×  ) + (6 ×  ) =  +   =  |  |  |  |  |  |  |  |  | 10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| 9) | 4 × 3.2 = (4 ×  ) + (4 ×  ) =  +   =  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 3 × 42⁄ 3 = (3 × ) + (3 × 3 ) = + = |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 6 × 2.3 = (6 ×  ) + (6 ×  ) =  +   =  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 6 × 65⁄ 6 = (6 × ) + (6 × 6 ) = + = |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 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: Answer Key  \n\n| Break apart each number and fill in the blanks to solve.\u003Cbr>1) 5 × 81⁄ 5 = (5 × 8 ) + (5 ×~~ ~~15~~ ~~) = 40 + 1 = 41  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 1.  41  |  |  |  |\n| 2) | 6 × 4.3 = (6 × 4 ) + (6 × 0.3 ) = 24 + 1.8 = 25.8  |  |  |  |  |  |  |  | 2.  25.8 \u003Cbr>3.  60  |  |  |  |\n| 3) | 8 × 7.5 = (8 × 7 ) + (8 × 0.5 ) = 56 + 4 = 60  |  |  |  |  |  |  |  | 4.  84  |  |  |  |\n| 4) | 10 × 82⁄ 5 = (10 × 8 ) + (10 ×~~ ~~25~~ ~~) = 80 + 4 = 84  |  |  |  |  |  |  |  | 5.  38 \u003Cbr>6.  11  |  |  |  |\n| 5) | 5 × 7.6 = (5 × 7 ) + (5 × 0.6 ) = 35 + 3 = 38  |  |  |  |  |  |  |  | 7.  14 \u003Cbr>8.  15  |  |  |  |\n| 6) | 4 × 23⁄ 4 = (4 × 2 ) + (4 ×~~ ~~34~~ ~~) = 8 + 3 = 11  |  |  |  |  |  |  |  | 9.  12.8  |  |  |  |\n| 7) | 6 × 21⁄ 3 = (6 × 2 ) + (6 ×~~ ~~13~~ ~~) = 12 + 2 = 14  |  |  |  |  |  |  |  | 10.  14 \u003Cbr>11.  13.8  |  |  |  |\n| 8) | 6 × 2.5 = (6 × 2 ) + (6 × 0.5 ) = 12 + 3 = 15  |  |  |  |  |  |  |  | 12.  41  |  |  |  |\n| 9) | 4 × 3.2 = (4 × 3 ) + (4 × 0.2 ) = 12 + 0.8 = 12.8  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 3 × 42⁄ 3 = (3 × 4 ) + (3 ×~~ ~~23~~ ~~) = 12 + 2 = 14  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 6 × 2.3 = (6 × 2 ) + (6 × 0.3 ) = 12 + 1.8 = 13.8  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 6 × 65⁄ 6 = (6 × 6 ) + (6 ×~~ ~~56~~ ~~) = 36 + 5 = 41  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Seed: 1358597675-1339 1-10\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 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) 5 × 81⁄ 5 = (5 ×   ) + (5 ×~~ ~~5~~ ~~) =  +  = \u003Cbr>2) 6 × 4.3 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>3) 8 × 7.5 = (8 ×  ) + (8 ×   ) =+ = \u003Cbr>4) 10 × 82⁄ 5 = (10 ×  ) + (10 ×~~ ~~5~~ ~~) =+ = \u003Cbr>5) 5 × 7.6 = (5 ×  ) + (5 ×   ) =+ = \u003Cbr>6) 4 × 23⁄ 4 = (4 ×   ) + (4 ×~~ ~~4~~ ~~) =  +  = \u003Cbr>7) 6 × 21⁄ 3 = (6 ×   ) + (6 ×~~ ~~3~~ ~~) =  +  = \u003Cbr>8) 6 × 2.5 = (6 ×  ) + (6 ×   ) =+ =  | Answers |\n| --- | --- |\n|  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-8 88 75","cbCaiq45KD9RRgmz","https://ap.wps.com/l/cbCaiq45KD9RRgmz","pdf",46332,"English","# Break Apart and Multiply\n## Decimals and Mixed Numbers","[{\"question\":\"What does the worksheet ask students to do with each multiplication problem?\",\"answer\":\"Break apart the numbers using the distributive property, fill in the missing factors, compute each part, then add the results to get the final product.\"},{\"question\":\"How are mixed numbers handled in the problems?\",\"answer\":\"Mixed numbers are decomposed into whole-number and fractional parts, then multiplied separately before adding to form the final product.\"},{\"question\":\"What is included to help check work?\",\"answer\":\"An answer key lists the completed solutions for each problem so students can verify their calculations.\"}]","Using the Distributive Property with Decimals and Mixed Numbers | PDF",1790795639]