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Commutative property- Definition, Meaning & Examples

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The commutative property states that in an addition or multiplication operation, changing the order of the numbers has no effect on the sum or product. The commutative property of addition is written as A + B = B + A.  Similarly, for multiplication, the commutative property formula is expressed as (A × B) = (B × A).

Commutative Property of Addition

According to the commutative property of addition, altering the order of the addends has no effect on the sum’s value.

Commutative Property of Multiplication

The commutative property of multiplication states that the final product is unaffected by the sequence in which the numbers are multiplied.

Key Points

  • The Commutative property states that “changing the order of the operands does not change the result.”
  • The commutative property for addition is A + B = B + A
  • The commutative property for multiplication is A × B = B × A

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Umair Javaid, PhD Student
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