of or relating to commutation, exchange, substitution, or interchange.
(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.
- 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
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. Stapleton
Negative 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
relating to or involving substitution
(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
- 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
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.