Name the property used to write the equivalent expression.
[5+(-3)] +2 = 5 + [ (-3) +2]
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication
C. Associative Property of Addition
The Associative Property of Addition states that when three or more numbers are added, the sum is the same regardless of the grouping of the addends. This means that for any numbers a, b, and c:
(a + b) + c = a + (b + c)
In the given expression [5+(-3)] + 2 = 5 + [(-3) +2], the grouping of the addends is changed but the resulting sum remains the same. This is an application of the Associative Property of Addition.