What does commutative property mean?

Definitions for commutative property
com·mu·ta·tive prop·er·ty

This dictionary definitions page includes all the possible meanings, example usage and translations of the word commutative property.


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Wikipedia

  1. Commutative property

    In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name of the property that says something like "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more advanced settings. The name is needed because there are operations, such as division and subtraction, that do not have it (for example, "3 − 5 ≠ 5 − 3"); such operations are not commutative, and so are referred to as noncommutative operations. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed. Thus, this property was not named until the 19th century, when mathematics started to become formalized. A similar property exists for binary relations; a binary relation is said to be symmetric if the relation applies regardless of the order of its operands; for example, equality is symmetric as two equal mathematical objects are equal regardless of their order.

Wikidata

  1. Commutative property

    In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. The commutativity of simple operations, such as multiplication and addition of numbers, was for many years implicitly assumed and the property was not named until the 19th century when mathematics started to become formalized. By contrast, division and subtraction are not commutative.

How to pronounce commutative property?

How to say commutative property in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of commutative property in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of commutative property in Pythagorean Numerology is: 5

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"commutative property." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/commutative+property>.

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