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# What Is the Distributive property of numbers?

Solution:

The distributive property explains that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.

Distributive property of multiplication over addition

The Distributive Property of multiplication over addition says that if a, b, and c are real numbers, then:

a $\times$ (b + c) = (a $\times$ b) + (a $\times$ c)

Eg: 5 $\times$ (6 + 7) = (5 $\times$ 6) + (5 $\times$ 7)

Distributive property of multiplication over subtraction

The Distributive Property of multiplication over subtraction says that if a, b, and c are real numbers, then:

a $\times$ (b - c) = (a $\times$ b) - (a $\times$ c)

Eg: 5 $\times$ (7 - 6) = (5 $\times$ 7) - (5 $\times$ 6)

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