Suppose you are given two integers
and you need to find rational numbers in between so we take arithmetic mean of two integers
then we take any one of the integer and take AM with the earlier obtained mean
Now I will demonstrate the process for your case
Integers given = -1 and +1
AM = (-1+1)/2 = 0
0 is the rational number
Now take mean of -1 and 0
AM = ( -1+0 )/2 = -1/2
Now take mean of 0 and 1
AM = 0+1/2 = 1/2
We have obtained three rational numbers and we can continue the process to obtain a large number of rational numbers as per requirement of the question