[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv]
of or pertaining 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.

1525–35; < Medieval Latin commūtātīvus, equivalent to Latin commūtāt(us) (past participle of commūtāre; see commute, -ate1) + -īvus -ive

commutatively, adverb
commutativity, noun
noncommutative, adjective
uncommutative, adjective
uncommutatively, adverb
uncommutativeness, noun
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
commutative (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv)
1.  relating to or involving substitution
2.  maths, logic
 a.  (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
 b.  relating to this property: the commutative law of addition

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

1530s, from M.L. commutativus, from L. commutat-, pp. stem of commutare (see commute).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
commutative  [%PREMIUM_LINK%]     (kə-my'tə-tĭv, kŏm'yə-tā'tĭv)  Pronunciation Key 
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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