Question

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

Answer 1

Answer:

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

Step-by-step 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