5) 18 + 27
For this case, you are simply finding the expression that, when simplified, will give you the same value of the equivalent expression.
In this case, simplify all of your statements:
18 + 27 = 45
For the rest, remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
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3(6 + 27) = 3(33) = 99
9(2 + 3) = 9(5) = 45 (Equivalent).
B) 9(2 + 3) is your answer.
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The Association Property of Multiplication states that "the product of three or more numbers remain the same regardless of how the numbers are grouped).
This means that B) a(bc) = (ab)c, because both simplify down too:
a * (b * c) = (a * b) * c
a * b * c = a * b * c
The only difference is that you decided to multiply two of them together first instead of with the other number.
B) a(bc) = (ab)c is your answer.
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