Question

12(309)

8(100 + 10 + 8)
Use the Distributive Property to rewrite each of the expressions below. Then simplify.
help

Answer 1

For the first one, it would simply be 12 times 309, which is 3708.
For the second one, using Distributive Property, it would be 800+80+64, and the simplified version would be 944. 

Answer 2

The Distributive Property to rewrite each of the expressions is 8(100) + 8(10) + 8(8) and the value on simplification is 944

If we have 3 positive integers A, B, and C. According to the distributive law;

A(B+C) = AB + BC (Note that A was distributed over B and C)

Applying the rule in the given question 8(100 + 10 + 8)

8(100 + 10 + 8) = 8(100) + 8(10) + 8(8)

8(100 + 10 + 8) = 800 + 80 + 64

8(100 + 10 + 8) = 880 + 64

8(100 + 10 + 8) = 944

Hence the Distributive Property to rewrite each of the expressions is 8(100) + 8(10) + 8(8) and the value on simplification is 944

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