Question

Check all of the expressions that are equal to the one below.

(8 + 7). 11

A. 11. (8 + 7)

B. 8•(11)-7•(11)

C. 11•(7) + 11 (8)

D. 8+ (711)

Answer 1

A. 11•(8 + 7)

B. 8•(11)-7•(11)

C. 11•(7) + 11•(8)

Explanation:

The commutative property of multiplication lets you swap the order of the factors in the product:

(8 +7)•11 = 11•(8 +7)

The distributive property lets you eliminate parentheses:

(8 +7)•11 = 8•11 +7•11

And the commutative properties of addition and multiplication let you rearrange this sum of products to ...

(8 +7)•11 = 11•7 +11•8