What property states that changing the order of the addends does not change the sum?

The property that states changing the order of the addends does not change the sum is known as Commutative Addition. This means that if you have two numbers, say a and b, the equation a + b will yield the same result as b + a. For example, if you take 3 + 5, it equals 8, and if you switch them to 5 + 3, it also equals 8. This property emphasizes the flexibility in adding numbers, allowing for rearrangement without affecting the resulting sum.

In contrast, Associative Addition focuses on grouping different addends; the sum remains the same regardless of how they are grouped. The Distributive Property connects addition and multiplication, showing how multiplication distributes over addition. Lastly, the Zero Property relates to addition and states that any number plus zero will yield the original number. Each of these properties defines different aspects of arithmetic operations, but Commutative Addition specifically addresses the order of the addends.