Which property states that the order of numbers can be changed without affecting the sum?

The property that states the order of numbers can be changed without affecting the sum is the Commutative Property. This property applies specifically to addition (and multiplication), indicating that when two numbers are added together, the result is the same regardless of the order in which the numbers are arranged. For example, if you take the numbers 2 and 3, both 2 + 3 and 3 + 2 will equal 5. This flexibility in the arrangement of terms is a fundamental characteristic of addition.

The Associative Property deals with how numbers are grouped in addition or multiplication but does not influence their order. The Distributive Property involves distributing a factor across terms in parentheses and is used to simplify expressions. The Identity Property indicates that adding zero to a number does not change the value of that number. Therefore, the Commutative Property is the correct choice, as it directly describes the ability to change the order of the numbers without impacting the sum.