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Where appropriate, it can simplify calculations, by allowing you to change the order of operations.

4 + 7 + 6 = 4 + 6 + 7

But 4 + 6 = 10

so the sum is 10 + 7 = 17.

That is perhaps a trivial example, where the advantage of using these properties is marginal (at best) but it illustrates the principle.

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Q: Why do you use commutative and associative properties?
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