commutative [k uh- myoo-t uh-tiv, kom-y uh-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 1525–35;
Medieval Latin commūtātīvus,
) (past participle of
-īvus -ive Related forms 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
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Related Words for commutative protean
indecisive Examples from the Web for commutative Historical Examples of commutative
“Simple” practice involves an application of the
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
Often the meaning of a sentence tacitly implies that the
commutative law does not hold. British Dictionary definitions for commutative adjective 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 commutatively, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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Word Origin and History for commutative adj.
1530s, from Medieval Latin
commutativus, from Latin commutat-, past participle stem of commutare (see commute (v.)).
Online Etymology Dictionary, © 2010 Douglas Harper
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.
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