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An answer key lists the rewritten forms using multiplication and factor-splitting, aligning each item with its corresponding multiple-of-a-sum 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does the worksheet ask you to do with each expression?","Question",{"text":63,"@type":64},"Rewrite each sum as a multiple of a sum of two numbers with no common factor, using the distributive property.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Why must the two numbers in the parentheses have no common factor?",{"text":68,"@type":64},"So the expression is simplified into a correct multiple-of-a-sum form where the inner addends are relatively prime.",{"name":70,"@type":61,"acceptedAnswer":71},"How is the answer key organized?",{"text":72,"@type":64},"It provides the rewritten expression for each numbered problem (1 through 12) in the same multiple-of-a-sum format shown in the 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multiple of a sum of two numbers with no common factor.\u003Cbr>Ex) 4 + 3 =  1×(4+3) \u003Cbr>Ex) 6 + 22 =  2×(3+11) \u003Cbr>1) 45 + 12 =  \u003Cbr>2) 3 + 36 =  \u003Cbr>3) 10 + 12 =  \u003Cbr>4) 15 + 18 =  \u003Cbr>5) 24 + 24 =  \u003Cbr>6) 9 + 24 =  \u003Cbr>7) 24 + 12 =  \u003Cbr>8) 12 + 30 =  \u003Cbr>9) 18 + 20 =  \u003Cbr>10) 30 + 3 =  \u003Cbr>11) 16 + 16 =  \u003Cbr>12) 24 + 36 =   |  |  |  |  |  |  | Answers Ex.  1×(4+3) \u003Cbr>Ex.  2×(3+11) \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | [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\nRewriting Expressions as Multiples of a Sum  \nName: Answer Key  \n\n| Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.\u003Cbr>Ex) 4 + 3 =  1×(4+3) \u003Cbr>Ex) 6 + 22 =  2×(3+11) \u003Cbr>1) 45 + 12 =  3×(15+4)  |  |  |  |  |  |  | Answers Ex.  1×(4+3) \u003Cbr>Ex.  2×(3+11) \u003Cbr>1.  3×(15+4) \u003Cbr>2.  3×(1+12)  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 3 + 36 = 3×(1+12) |  |  |  |  |  | 3.  2×(5+6)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | 10 + 12 =  2×(5+6)  |  |  |  |  |  | 4.  3×(5+6) \u003Cbr>5.  24×(1+1)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | 15 + 18 =  3×(5+6)  |  |  |  |  |  | 6.  3×(3+8)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | 24 + 24 =  24×(1+1)  |  |  |  |  |  | 7.  12×(2+1) \u003Cbr>8.  6×(2+5)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | 9 + 24 =  3×(3+8)  |  |  |  |  |  | 9.  2×(9+10)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | 24 + 12 =  12×(2+1)  |  |  |  |  |  | 10.  3×(10+1)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 12 + 30 =  6×(2+5)  |  |  |  |  |  | 11.  16×(1+1) \u003Cbr>12.  12×(2+3)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 18 + 20 =  2×(9+10)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 30 + 3 =  3×(10+1)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 16 + 16 =  16×(1+1)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 24 + 36 =  12×(2+3)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\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\nRewriting Expressions as Multiples of a Sum  \nName:  \n\n| Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.\u003Cbr>Ex) 4 + 3 =  1×(4+3) \u003Cbr>Ex) 6 + 22 =  2×(3+11) \u003Cbr>1) 45 + 12 =   |  | Ex.\u003Cbr>Ex.\u003Cbr>1.\u003Cbr>2.\u003Cbr>3. |  |  | Answers\u003Cbr>1×(4+3) |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 2×(3+11) |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 2) 3 + 36 =   |  | 4.\u003Cbr>5. |  |  |  |  |  |  |  |  |\n|  |  |  |  |","cbCaiiifZlhHZgmj","https://ap.wps.com/l/cbCaiiifZlhHZgmj","pdf",43561,"English","# Use the distributive property\n## Examples\n## Practice problems 1-12\n## Answer key","[{\"question\":\"What does the worksheet ask you to do with each expression?\",\"answer\":\"Rewrite each sum as a multiple of a sum of two numbers with no common factor, using the distributive property.\"},{\"question\":\"Why must the two numbers in the parentheses have no common factor?\",\"answer\":\"So the expression is simplified into a correct multiple-of-a-sum form where the inner addends are relatively prime.\"},{\"question\":\"How is the answer key organized?\",\"answer\":\"It provides the rewritten expression for each numbered problem (1 through 12) in the same multiple-of-a-sum format shown in the examples.\"}]","Rewriting Expressions as Multiples of a Sum - Distributive Property Practice - Answer Key | PDF",1790772927]