Question

Which of the expressions are equivalent to the one below? Check all that

apply.
7.(6+3)
O A. 7.6+7.3
I B. 7.3 +7.6
O C. 7.9
1 D. 7.18

Answer 1

• A. 7·6 + 7·3
• B. 7·3 + 7·6
• C. 7·9

Explanation:

The distributive property and the commutative property of addition both apply here.

Distributive property: a(b+c) = ab +ac

For a=7, b=6, c=3, this becomes ...

7(6+3) = 7·6 +7·3 . . . . . matches A

The commutative property of addition says ...

a + b = b + a

For a=7·6 and b=7·3, this becomes ...

7·6 + 7·3 = 7·3 + 7·6 . . . . . matches B

Of course, the expression can be partially evaluated:

7(6 +3) = 7·9 . . . . . matches C