Final answer:
The commutative property of addition states that the order of the addends may be switched without affecting the sum.
Step-by-step explanation:
The property that states that the order of the addends may be switched without affecting the sum is the commutative property of addition. This property applies to both ordinary numbers and vectors. For example, when adding ordinary numbers, you get the same result whether you add 2 + 3 or 3 + 2. Similarly, when adding vectors, the order in which the vectors are added does not change the final sum.