# commutative

*commutative*on Thesaurus.com

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

^{1}

## Other words from commutative

- com·mu·ta·tive·ly, adverb
- com·mu·ta·tiv·i·ty, noun
- non·com·mu·ta·tive, adjective
- un·com·mu·ta·tive, adjective
- un·com·mu·ta·tive·ly, adverb
- un·com·mu·ta·tive·ness, noun

## Words Nearby commutative

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use commutative in a sentence

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

*commutative*.Among equals, it is called

*commutative*justice, the which alone is here in question.Explanation of Catholic Morals | John H. StapletonNegative Numbers may be regarded as resulting from the

*commutative*law for addition and subtraction.“Simple” practice involves an application of the

*commutative*law.Often the meaning of a sentence tacitly implies that the

*commutative*law does not hold.The philosophy of B*rtr*nd R*ss*ll | Various

## British Dictionary definitions for commutative

/ (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) /

relating to or involving substitution

maths logic

(of an operator) giving the same result irrespective of the order of the arguments; thus disjunction and addition are commutative but implication and subtraction are not

relating to this property: the commutative law of addition

## Derived forms of commutative

- commutatively, adverb

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for commutative

[ kə-myōō′tə-tĭv, kŏm′yə-tā′tĭv ]

Of or relating to binary operations for which changing the order of the inputs does not change the result of the operation. For example, addition is commutative, since a + b = b + a for any two numbers a and b, while subtraction is not commutative, since a - b ≠ a - b unless both a and b are zero. See also associative distributive.

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

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