What is used to indicate that the order of operations does not affect the result for addition and multiplication?

The correct answer is the Associative Property, which is used to demonstrate that the way in which numbers are grouped in addition and multiplication does not change their sum or product. For addition, this means that (a + b) + c is the same as a + (b + c). Similarly, for multiplication, (a × b) × c is the same as a × (b × c). This shows that regardless of how the numbers are grouped when performing these operations, the outcome remains the same.

The other properties mentioned relate to different aspects of arithmetic: the Commutative Property describes how the order of numbers can be changed (e.g., a + b = b + a for addition), the Identity Property relates to the unique identity element in operations (e.g., adding 0 or multiplying by 1), and the Distributive Property connects multiplication with addition (e.g., a × (b + c) = a × b + a × c). Each of these properties illustrates different truths about numbers and operations but does not address the grouping specifically like the Associative Property does.