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Rule

Commutative Property of Multiplication

The order in which two or more factors are multiplied does not affect the value of the product. That is, the multiplicands can be written in any order.

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