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Distributive Property. Distributive Property. The property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. 7 x 15 7 x (10 + 5) (7 x 10) + (7 x 5) 70 + 35 105. Distributive Property.

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distributive property1
Distributive Property
  • The property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products.
  • 7 x 15

7 x (10 + 5)

(7 x 10) + (7 x 5)

70 + 35

105

distributive property2
Distributive Property
  • Decide which number will be the sum
  • Take that sum apart into easier addends (expanded notation recommended)
  • Multiply each addend with the factor
  • Add the partial products together

Distributive Property is represented as…

a(b + c) = (a x b) + (a x c),

a(b + c) = ab + ac

for any value of a, b, and c

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