Identity Property of Addition
Identity property of addition:
What does it mean?
It means, that addition of zero to the number will not change the number.
Indeed, suppose your first friend (let's call it Tom) gave you 3 apples, but your second friend (let's call it Jim) gave you nothing. So, you are left with 3 apples.
Using commutative property of addition, we can write that .
Thus, .
This is also true, if we subtract zero: .
In fact, identity property is true for any real number.
Example 1. .
Example 2. .
Example 3. .
Conclusion. Addition or subtraction of zero doesn't change things.