The additive identity is a good name for this property because it is a special property of addition. Ask yourself, what can I add to any integer or real number, which we'll call 'a', whose sum is 'a'. The answer is zero. Any number plus zero equals the original number.
Examples of the additive identity
- 3 + 0 =3
- a+0 = a
- ½ +0 = ½
- - ½ +0 = -½