# Commutative-law

**noun**, Logic.

1.

a law asserting that the order in which certain logical operations are performed is indifferent.

**noun**

in mathematics, a law stating that the order of the terms or factors is irrelevant in combining or multiplying quantities in algebra or arithmetic

*Examples*

Commutative law says that changing the order does not change the result.

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[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv] /kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv/ adjective 1. of or relating to commutation, exchange, substitution, or interchange. 2. Mathematics. /kəˈmjuːtətɪv; ˈkɒmjʊˌteɪtɪv/ adjective 1. relating to or involving substitution 2. (maths, logic) adj. 1530s, from Medieval Latin commutativus, from Latin commutat-, past participle stem of commutare (see commute (v.)). commutative (kə-my’tə-tĭv, kŏm’yə-tā’tĭv) Of or […]

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[kom-yuh-tey-ter] /ˈkɒm yəˌteɪ tər/ noun 1. Electricity. 2. Mathematics. the element equal to the product of two given elements in a group multiplied on the right by the product of the inverses of the elements. /ˈkɒmjʊˌteɪtə/ noun 1. a device used to reverse the direction of flow of an electric current 2. the segmented metal […]

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noun, Mathematics. 1. the subgroup of a given group, which consists of all the commutators in the group.

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[kuh-myoot] /kəˈmyut/ verb (used with object), commuted, commuting. 1. to change (a prison sentence or other penalty) to a less severe one: The death sentence was commuted to life imprisonment. 2. to exchange for another or for something else; give and take reciprocally; interchange. 3. to change: to commute base metal into gold. 4. to […]