Write five rational numbers greater than $-2$.

Given:

Given rational number is $-2$.
To do:
We have to find  five rational numbers greater than $-2$.

Solution:

Numbers to the right of a given number on the number line are greater than it and the numbers to the left of it are less than it.

Therefore,

Five rational numbers greater than $-2$ are $-1, 0, 1, 2, 3$.