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The identity property, of a set S and a binary operation # states that there exists, in S an element i such that for any element x is S,

x # i = i # x = x

If S is the set of Integers, Rationals, Reals and the operator is addition, then the additive identity is the number 0. If the operation is multiplication, the multiplicative identity is 1.

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Q: What does identity property in math look like?
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