Yes, but that is not the only property used.
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Distributive Property
It is a result of the associative property of numbers.It is a result of the associative property of numbers.It is a result of the associative property of numbers.It is a result of the associative property of numbers.
There is no synonym for the associative properties.
No you can not use subtraction or division in the associative property.
There is only one associative property for multiplication: there is not a separate "regular" version.