Question

Distributive Property Practice Exercises

Exercises

1.Evaluate each of the expressions below.

c. 18m + 42n and 6(3m + 7n); m=2 and n = 6

Answer 1

Yes, it is distributive.

Explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Given the following data;

m = 2

n = 6

For equation 1;

18m + 42n = 18(2) + 42(6)

18m + 42n = 36 + 252

18m + 42n = 288.

For equation 2;

6(3m + 7n) = 6(3*2 + 7*6)

6(3m + 7n) = 6(6 + 42)

6(3m + 7n) = 6(48)

6(3m + 7n) = 288

18m + 42n = 6(3m + 7n) = 288

Therefore, the equation illustrates distributive property.