Which property states that the order of addition does not change the sum?

The property that states the order of addition does not change the sum is known as the Commutative Property. This property indicates that when you add two numbers, it does not matter in which order you add them; the result will always be the same. For example, if you take the numbers 3 and 5, both 3 + 5 and 5 + 3 yield the same result, which is 8.

Understanding the Commutative Property is crucial in mathematics since it applies to many areas including operations with integers, fractions, and variables. It allows for flexibility in computation and simplification when rearranging terms. Knowing that the order can be altered can make solving equations and simplifying expressions much easier.