# commutative

[ kuh-myoo-tuh-tiv, kom-yuh-tey-tiv ]
See synonyms for commutative on Thesaurus.com
1. of or relating to commutation, exchange, substitution, or interchange.

2. 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

1
1525–35; <Medieval Latin commūtātīvus, equivalent to Latin commūtāt(us) (past participle of commūtāre;see commute, -ate1) + -īvus-ive

## Other words from commutative

• com·mu·ta·tiv·i·ty, noun
• un·com·mu·ta·tive·ness, noun

## Words Nearby commutative

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use commutative in a sentence

• This is included in the preceding, but it is simpler in that the various operations are commutative.

• Among equals, it is called commutative justice, the which alone is here in question.

Explanation of Catholic Morals | John H. Stapleton
• Negative Numbers may be regarded as resulting from the commutative law for addition and subtraction.

• “Simple” practice involves an application of the commutative law.

• Often the meaning of a sentence tacitly implies that the commutative law does not hold.

## British Dictionary definitions for commutative

commutative

/ (kəˈmjuːtətɪv, ˈkɒmjʊˌteɪtɪv) /

1. relating to or involving substitution

2. 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