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# commutative

[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv] /kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv/
1.
of or relating to commutation, exchange, substitution, or interchange.
2.
Mathematics.
1. (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.
2. having reference to this property:
commutative law for multiplication.
Origin
1525-1535
1525-35; < Medieval Latin commūtātīvus, equivalent to Latin commūtāt(us) (past participle of commūtāre; see commute, -ate1) + -īvus -ive
Related forms
commutativity, noun
uncommutativeness, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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British Dictionary definitions for noncom mutative

## commutative

/kəˈmjuːtətɪv; ˈkɒmjʊˌteɪtɪv/
1.
relating to or involving substitution
2.
(maths, logic)
1. (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
2. relating to this property: the commutative law of addition
Derived Forms
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for noncom mutative

## commutative

1530s, from Medieval Latin commutativus, from Latin commutat-, past participle stem of commutare (see commute (v.)).

Online Etymology Dictionary, © 2010 Douglas Harper
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noncom mutative in Science
 commutative   (kə-my'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
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### Word Value for noncom

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