definitions

# commutative

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

of or relating to commutation, exchange, substitution, or interchange.
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 of commutative

1525–35; < Medieval Latin commūtātīvus, equivalent to Latin commūtāt(us) (past participle of commūtāre; see commute, -ate1) + -īvus -ive
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

British Dictionary definitions for commutatively

## commutative

relating to or involving substitution
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 propertythe commutative law of addition
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

Word Origin and History for commutatively