1Involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b × a.
- An operation is commutative if you can change the order of the numbers involved without changing the result.
- In the 1840s, the Irish mathematician William Hamilton found that multiplication was not commutative in all number systems.
- So, the addition and multiplication we are used to using are commutative.
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