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The identity property for a binary operation (addition, multiplication, etc) simply states that there is a unique element (number) such that x ~ i = x = i ~ x

In terms of multiplication the identity property says that the number 1 exists with the property that 1*x = x = x*1 for all x

In terms of addition the identity property says that the number 0 exists with the property that 0+x = x = x+0 for all x

and so on for other binary operations.

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