|In arithmetic, the additive identity is||.|
This means that you can add 0 to any number... and it keeps its identity! The number stays the same!
Let's look at the number 5. Anyway we try to add 0 to it, the 5 just keeps coming back as the answer.
Go ahead and try it with any number you can thing of... It always works!
And, when something always works in math, we make it a property:
The Additive Identity Property:
This is often written in one line...
Where a is any real number.