The additive identity allows another number to retain its identity after adding. That is: there exists an element \(0\) such that \(v+0=v\) for whatever structure \(v\) and addition \(+\) you are working with.

The additive identity allows another number to retain its identity after adding. That is: there exists an element \(0\) such that \(v+0=v\) for whatever structure \(v\) and addition \(+\) you are working with.