5a(4b)+5a(6c) = (4b+6c) x 5a
Which of the following must be used when converting the left side of the equality above to the right side?
1. The commutative property of addition
2. The commutative property of multiplication
3. The distributive property of multiplication over addition.
A- 1 only
B- 3 only
C - 2 and 3 only
D- 1,2,and 3
Answers:
C
Commutative property of addition
a + b = b + a
Commutative property of multiplication
a . b = b . a
Distributive property of multiplication over addition.
xa + xb = x (a + b)
So,
Using Distributive property of multiplication over addition
5a(4b)+5a(6c) = 5a (4b + 6c)
Using Commutative property of multiplication
5a (4b + 6c) = (4b + 6c) 5a
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