# commutative

[ kuh-myoo-tuh-tiv, kom-yuh-tey-tiv ]

/ kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv /

### 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.

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## Origin of commutative

## OTHER WORDS FROM commutative

## Words nearby commutative

communize, commutable, commutate, commutation, commutation ticket, commutative, commutative group, commutative law, commutator, commutator group, commute

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## British Dictionary definitions for noncommutative

commutative

/ (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) /

### 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 propertythe commutative law of addition

## Derived forms of commutative

commutatively, adverbCollins 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 noncommutative

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
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