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The key provides the completed expressions and numerical answers for multiple problems covering fractions, decimals, and combined 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to solve.\u003Cbr>1) 12 × 71⁄ 3 = (12 ×   ) + (12 ×~~ ~~3~~ ~~) =+ = \u003Cbr>2) 6 × 3.7 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>3) 12 × 61⁄ 2 = (12 ×   ) + (12 ×~~ ~~2~~ ~~) =+ =  4) 3 × 8.3 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>5) 2 × 8.5 = (2 ×  ) + (2 ×  ) =  +   = \u003Cbr>6) 8 × 43⁄ 4 = (8 ×  ) + (8 ×~~ ~~4~~ ~~) =  +   =  7) 9 × 7.5 = (9 ×  ) + (9 ×  ) =  +   = \u003Cbr>8) 12 × 37⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  9) 10 × 29⁄ 10 = (10 ×  ) + (10 ×~~ ~~10~~ ~~) =+ =  10) 8 × 4.8 = (8 ×  ) + (8 ×  ) =  +   = \u003Cbr>11) 2 × 7.4 = (2 ×  ) + (2 ×  ) =  +   = \u003Cbr>12) 12 × 75⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  | 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)  \n2  \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) 12 × 71⁄ 3 = (12 × 7 ) + (12 ×~~ ~~13~~ ~~) = 84 + 4 = 88  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  88  |  |  |  |\n| 2) | 6 × 3.7 = (6 × 3 ) + (6 × 0.7 ) = 18 + 4.2 = 22.2  |  |  |  |  |  |  |  |  | 2.  22.2 \u003Cbr>3.  78  |  |  |  |\n| 3) | 12 × 61⁄ 2 = (12 × 6 ) + (12 ×~~ ~~12~~ ~~) = 72 + 6 = 78  |  |  |  |  |  |  |  |  | 4.  24.9  |  |  |  |\n| 4) | 3 × 8.3 = (3 × 8 ) + (3 × 0.3 ) = 24 + 0.9 = 24.9  |  |  |  |  |  |  |  |  | 5.  17 \u003Cbr>6.  38  |  |  |  |\n| 5) | 2 × 8.5 = (2 × 8 ) + (2 × 0.5 ) = 16 + 1 = 17  |  |  |  |  |  |  |  |  | 7.  67.5 \u003Cbr>8.  43  |  |  |  |\n| 6) | 8 × 43⁄ 4 = (8 × 4 ) + (8 ×~~ ~~34~~ ~~) = 32 + 6 = 38  |  |  |  |  |  |  |  |  | 9.  29  |  |  |  |\n| 7) | 9 × 7.5 = (9 × 7 ) + (9 × 0.5 ) = 63 + 4.5 = 67.5  |  |  |  |  |  |  |  |  | 10.  38.4 \u003Cbr>11.  14.8  |  |  |  |\n| 8) | 12 × 37⁄ 12 = (12 × 3 ) + (12 ×~~ ~~172~~ ~~) = 36 + 7 = 43  |  |  |  |  |  |  |  |  | 12.  89  |  |  |  |\n| 9) | 10 × 29⁄ 10 = (10 × 2 ) + (10 ×~~ ~~190~~ ~~) = 20 + 9 = 29  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 8 × 4.8 = (8 × 4 ) + (8 × 0.8 ) = 32 + 6.4 = 38.4  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 2 × 7.4 = (2 × 7 ) + (2 × 0.4 ) = 14 + 0.8 = 14.8  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 12 × 75⁄ 12 = (12 × 7 ) + (12 ×~~ ~~152~~ ~~) = 84 + 5 = 89  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 2 | 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) 12 × 71⁄ 3 = (12 ×  ) + (12 ×~~ ~~3~~ ~~) =+ = \u003Cbr>2) 6 × 3.7 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>3) 12 × 61⁄ 2 = (12 ×  ) + (12 ×~~ ~~2~~ ~~) =+ = \u003Cbr>4) 3 × 8.3 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>5) 2 × 8.5 = (2 ×  ) + (2 ×   ) =+ = \u003Cbr>6) 8 × 43⁄ 4 = (8 ×   ) + (8 ×~~ ~~4~~ ~~) =  +  = \u003Cbr>7) 9 × 7.5 = (9 ×  ) + (9 ×   ) =+ = \u003Cbr>8) 12 × 37⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  |  |  |  |  | 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)  \n2","cbCairTubzgskOke","https://ap.wps.com/l/cbCairTubzgskOke","pdf",46598,"English","# Using the Distributive Property with Decimals and Mixed Numbers\n## Practice Problems\n## Answer Key","[{\"question\":\"How do you apply the distributive property to decimals in these problems?\",\"answer\":\"Split the decimal factor into a whole-number part and a decimal part, multiply each by the other factor, then add the two products.\"},{\"question\":\"What steps are used for mixed numbers in the worksheet?\",\"answer\":\"Rewrite the mixed number as a whole number plus a fraction, multiply separately using the distributive property, then sum the results.\"},{\"question\":\"Where can the correct final answers be found?\",\"answer\":\"The document includes an answer key table that lists the completed results for each problem.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Answer Key | PDF",1790795640]