Given:
The number is -6.
To find:
The inverse with respect to addition of the given number.
Solution:
We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.
We know that, the sum of a number and its additive inverse is 0.
Let the additive inverse of -6 be x. Then,
![-6+x=0](https://tex.z-dn.net/?f=-6%2Bx%3D0)
Adding 6 on both sides, we get
![-6+x+6=0+6](https://tex.z-dn.net/?f=-6%2Bx%2B6%3D0%2B6)
![x=6](https://tex.z-dn.net/?f=x%3D6)
Therefore, the inverse with respect to addition of -6 is 6.