# commutative

[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv]

### adjective

of or relating to commutation, exchange, substitution, or interchange.

Mathematics.

- (of a binary operation) having the property that one term operating on a second is equal to the second operating on the first, as a × b = b × a.
- having reference to this property: commutative law for multiplication.

## Origin of commutative

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Related Words for commutative

protean, unsettled, varying, capricious, unpredictable, fickle, unstable, volatile, mercurial, fluctuating, mutable, changeful, agitated, convertible, fitful, flighty, fluid, impulsive, inconstant, indecisive## Examples from the Web for commutative

### Historical Examples of commutative

“Simple” practice involves an application of the commutative law.

Negative Numbers may be regarded as resulting from the commutative law for addition and subtraction.

This is included in the preceding, but it is simpler in that the various operations are commutative.

Often the meaning of a sentence tacitly implies that the commutative law does not hold.

## commutative

### adjective

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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Online Etymology Dictionary, © 2010 Douglas Harper

## commutative

[kə-myōō′tə-tĭv, kŏm′yə-tā′tĭv]

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.