Commutative Meaning
/ˌkɑmjəˈteɪtive/Definition, CEFR level C2, pronunciation, examples, and quiz.
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Definition
adjSuch that the order in which the operands are taken does not affect their image under the operation.
adjHaving a commutative operation.
Sentence Examples
In particular, the endomorphism ring of M is a commutative local ring.
Multiplication is commutative, division is not.
Synonyms & Antonyms
Synonyms:
Antonyms:
CEFR Practice Quiz
In mathematics, addition is ____ because order does not affect sum.
CEFR Practice Quiz (Alternate)
In basic arithmetic, addition and multiplication are both fundamentally ____ operations.
Word Origin & History
From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.
Literary Quotations & Historical Citations
"The associativity of OR and AND is not at all obvious. It is tempting to assume that because OR and AND are commutative that they must be associative also. This is not the case, however, and some commutative Boolean operators are not associative. Examples include NAND and NOR."
— 2022 August 4, William Bahn, “Boolean Algebra Laws—Delving Into Boolean Identities”, in All About Circuits:
Explore More C2 Vocabulary Words
CEFR Practice Quiz
In mathematics, addition is ____ because order does not affect sum.
CEFR Practice Quiz (Alternate)
In basic arithmetic, addition and multiplication are both fundamentally ____ operations.