Commutative Operation

Commutative Operation

An internal operation ❄︎ on a set is commutative if, for all elements a and b of E, we have : a ❄︎ b = b ❄︎ a.

Example

The addition and multiplication of real numbers are commutative operations.

  • 7 + 9 = 9 + 7
  • 7 × 9 = 9 × 7

The subtraction of real numbers is not a commutative operation.

  • 8 – 5 ≠ 5 – 8, since : 3 ≠ –3

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