Meaning & use

commutative

adjective·Academic

Describing an operation in mathematics where the order of the elements does not change the result.

See it in a sentence

Addition is commutative because 2 plus 3 gives the same result as 3 plus 2.

Subtraction is not commutative, since changing the order changes the answer.

A note on using this word

Contrast with "associative," which concerns grouping rather than order; matrix multiplication is a common non-commutative operation.

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