Question

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Answer 1

The Associative Property

The Associative Property:

A set has the associative property under a particular operation if the result of the operation is the same no matter how we group any sets of 3 or more elements joined by the operation. This definition will make more sense as we look at some examples.

More formally, if x, y and z are variables that represent any 3 arbitrary elements in the set we are looking at (let’s call the set we are looking at A), and the symbol # represents our operation, then the associative property for A with the operation # would be:

(x#y)#z = x#(y#z).

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