**Commutative** means that the order of elements contained within an expression do not alter a certain mathematical result.

For example:

Knowing this, you can say that:

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**Associative **means that you can alter the grouping of certain elements in an expression without changing its result.

Knowing this you could say that:

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Warning:

**Commutative** and **Associative** manipulation should not be used when subtracting and dividing.