Question

Which of the following statements shows the distributive property?
A) 5 + (4 – 2) = 20 – 10
B) 5(4 – 2) = 20 – 10
C) 5(4 – 2) = 9 – 7
D) 5 + (4 – 2) = 9 + 3

Answer 1

Answer:

Step-by-step explanation:

In applying the distributive property, the first step is to expand the bracket by multiplying each term inside the bracket with the term(s) outside the bracket. After this is done, any other operation can be carried out. Looking at the given statements, the ones that show the distributive property are

B) 5(4 – 2) = 20 – 10 because 5 is used to multiply each term inside the bracket first.

D) 5 + (4 – 2) = 9 + 3 because each term inside the bracket is multiplied by 1 which is outside the bracket first before other operations were carried out.