Question

give any example for each of the following. Associative property W.r.to multiplicative in Whole

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Answer 1

Answer:

A Very Special Kind of Set with an Operation: Groups!

In mathematics there is one particular kind of set with an operation that is fundamental to many, many mathematical applications. This special kind of set with an operation is called a group.

A group is a set with an operation that has the following 4 properties:

1) The set is closed under the operation.

2) The set is associative under the operation.

3) The set has an identity element under the operation that is also an element of the set.

4) Every element of the set has an inverse under the operation that is also an element of the set.

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