If the average of nine consecutive integers is zero, what is the largest integer?

4

Step-by-step explanation:

The average of the consecutive integers is 0, so the middle number must be 0, with 4 numbers less than 0 and 4 numbers greater than 0.

-4, - 3, - 2, - 1, 0, 1, 2, 3, 4

So the largest integer is 4.