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The Distributive Property of Multiplication

The Distributive Property of Multiplication. Recall the distributive property of multiplication over addition . . . symbolically: a × (b + c) = a × b + a × c and pictorially (rectangular array area model):. b. c. a. a × b. a × c. An example: 6 x 13

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The Distributive Property of Multiplication

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  1. The Distributive Property of Multiplication

  2. Recall the distributive property of multiplication over addition . . . symbolically: a × (b + c) = a × b + a × c and pictorially (rectangular array area model): b c a a × b a × c

  3. An example: 6 x 13 using your mental math skills . . . symbolically: 6 × (10 + 3) = 6 × 10 + 6 × 3 and pictorially (rectangular array area model): 10 3 6 6 × 10 6 × 3

  4. 200 30 40 + 6 276 20 3 What about 12 x 23? Mental math skills? (10+2)(20+3) = 10×20 + 10×3 + 2×20 + 2×3 10 10 × 20 10 × 3 2 2 × 20 2×3

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