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Which of the following properties states that the order of the addends may be switched without affecting the sum?

A. Associative property of addition
B. Distributive property
C. Identity property of addition
D. Commutative property of addition

1 Answer

3 votes

Final answer:

The commutative property of addition states that the order of the addends can be switched without affecting the sum.

Step-by-step explanation:

The correct answer is D. Commutative property of addition.

The commutative property of addition states that the order of the addends can be switched without affecting the sum. This property holds true in both ordinary numbers and vectors. For example, if we have the addition operation A + B, it will yield the same result as B + A.

In the context of vector addition, if we have three vectors A, B, and C, the sum A + B + C will not change regardless of the order in which we add them. Let's say we add A + B first and then add C, and then we switch the order and add C first and then add A + B. The final result will be the same.

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