The Associative Property refers to the rule that states that the way numbers are grouped in addition or multiplication does not change their sum or product. This property applies only to addition and multiplication, not to subtraction or division.
Let's analyze each option:
A. \(-(95)(8*3)\)
This expression includes multiplication, but it does not currently exhibit a grouping that could be rearranged. The Associative Property does not change the order here.
B. \(-(9*5)+8+3\)
This expression involves addition and subtraction, but it does not have a grouping that can be rearranged using the Associative Property.
C. \(-(5+8)*3\)
This expression has a grouping with addition inside the parentheses. We could use the Associative Property to regroup the addition: \(-(8+5)*3\), but this primarily affects the grouping of the addition, not the multiplication.
D. \(-(5*8)+3\)
This expression includes one multiplication but does not have a grouping of addition or multiplication that can be rearranged via the Associative Property.
The only option that illustrates a clear application of the Associative Property with regrouping is:
*C. (-(5+8)3
Thus, C is the best answer where the Associative Property could apply.
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