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They are useful in speeding up basic arithmetic calculations.

The properties allow you to rearrange the arguments of a calculation and the order in which the operations are carried out. So, for example,

(5 + 13) + 15 = (13 + 5) + 15 [using the commutative property]

= 13 + (5 + 15) [using the associative property]

= 13 + 20 = 33.


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8y ago
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8y ago

Both properties combined let you rearrange numbers, or variables, when adding several numbers or multiplying several numbers. This can often help solving equations.

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Q: How are the commutative and associative Properties helpful?
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