commutative Syllabification: com·mu·ta·tive
Pronunciation: /ˈkämyəˌtādiv/ /kəˈmyo͞odədiv/

# Definition of commutative in English:

Mathematics
1Involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b × a.
Example sentences
• An operation is commutative if you can change the order of the numbers involved without changing the result.
• In the 1840s, the Irish mathematician William Hamilton found that multiplication was not commutative in all number systems.
• So, the addition and multiplication we are used to using are commutative.
1.1 rare Relating to or involving substitution or exchange.
Example sentences
• The second difficulty was more damaging and, to a degree, commutative with the first.
• Of course, the relationship between painting and philosophy is not entirely commutative.

### Origin

Mid 16th century (in the sense 'relating to transactions between people'): from French commutatif, -ive or medieval Latin commutativus, from commutat- 'exchanged', from the verb commutare (see commute).

## Definition of commutative in:

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### More words in this category

-gon arc tangent asymmetry catenoid critical path