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Properties of Numbers Vocabulary Distributive Property

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Properties of Numbers You can use the Distributive Property to multiply numbers mentally by breaking apart one of the numbers and writing it as a sum or difference.

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Properties of Numbers Additional Example 3: Using the Distributive Property to Multiply Mentally Use the Distributive Property to find 6(54). Method 1: Method 2: = (6 50) + (6 4) Rewrite 54 as 50 + 4. = 300 + 24 = 324 Use the Distributive Property. Multiply. 6(54) = 6(60 – 6) Rewrite 54 as 60 – 6. = (6 60) – (6 6) = 360 - 36 Use the Distributive Property. Multiply. = 324 Subtract. Add. 6(54) = 6(50 + 4)

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Properties of Numbers Check It Out: Example 3 Use the Distributive Property to find 8(19). Method 1: Method 2: = (8 10) + (8 9) Rewrite 19 as 10 + 9. = 80 + 72 = 152 Use the Distributive Property. Multiply. 8(19) = 8(20 – 1) Rewrite 19 as 20 – 1. = (8 20) – (8 1) = 160 – 8 Use the Distributive Property. Multiply. = 152 Subtract. Add. 8(19) = 8(10 + 9)

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Properties of Numbers 5. Use the Distributive Property to identify the product of 8(20 + 2). A. 196 B. 113 C. 176 D. 85 Lesson Quiz for Student Response Systems

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