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2 of them are associative and distributive but I don't know about the other 1.
Division (and subtraction, for that matter) is not associative. Here is an example to show that it is not associative: (8/4)/2 = 2/2 = 1 8/(4/2) = 8/2 = 4 Addition and multiplication are the only two arithmetic operations that have the associative property.
There is no synonym for the associative properties.
No because the associative property can be found in other operations as well.
Associative means that two things are related in a way that they are similar even though they appear different. This includes things such as Math as well as real world properties.