# Commutative Operation

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A Commutative Operation is a Formal Operation that has the Commutative Property.

**AKA:**Commutativity Property, Commutative Relation, Symmetric Operation.- …

**Example(s):****Counter-Example(s):****See:**Subtraction, Binary Operation, Operand, Binary Operations, Mathematical Proof, Division (Mathematics), Commutativity Axiom, Symmetric Relation.

## References

### 2015

- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/Commutative_property Retrieved:2015-5-21.
- 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 idea that simple operations, such as multiplication and addition of numbers, are commutative 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.

- In mathematics, a binary operation is