What is the property of addition that is illustrated by the equation 0+34=34?

Additive identity.

Step-by-step explanation:

The zero is the additive identity. It is so named because when you add 0 to anything, you leave the unchanged. To give you a better idea about what this is, the multiplication identity is 1

One times anything does not change anything's value. 1 * 33 = 33. 33 is left unchanged.