Which property of operations is signified by the movement of parentheses?(1 point)
Responses
Associative Property
Associative Property
Identity Property
Identity Property
Distributive Property
Distributive Property
Commutative Property
There are two possible answers to this question: the Associative Property and the Distributive Property. Both involve rearranging or moving parentheses, but they apply in different contexts.
The Associative Property states that changing the grouping of numbers in an addition or multiplication expression doesn't change the result. For example, (a + b) + c is equal to a + (b + c), or (3 + 5) + 2 is equal to 3 + (5 + 2). In this case, moving parentheses changes the grouping of the numbers but not the final result.
The Distributive Property states that multiplying a number by a group of numbers added or subtracted together is the same as multiplying the number by each of the individual numbers and then adding or subtracting the results. For example, a(b + c) is equal to a*b + a*c, or 3(4 + 2) is equal to 3*4 + 3*2. In this case, moving parentheses changes the multiplication and addition or subtraction operations.
So both properties involve moving parentheses, but they apply to different types of operations and have different effects.