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The identity element of a set S, with respect to a binary operation ~ is an element of S, denoted by i such that, for every element x, of S,

x~i = i~x = x

With the "normal" sets of numbers, if the operation is addition, then the identity element is 0, and the identity property is x + 0 = 0 + x = x

If the operation is multiplication, the identity element is 1, and the identity property is x * 1 = 1 * x = x.

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Q: What is the meaning of idenaty property?

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