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Rule

Commutative Property of Addition

The order in which two or more terms are added does not affect the value of the sum. In other words, the addends can be written in any order.

For example, adding to produces the same result as adding to In both cases, the sum is This property also applies to the sum of more than two terms.
Since the Commutative Property of Addition is an axiom, it does not need a proof.
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