For part 1:
If we locate -9 in the number line and count the units to 0, we can see that the distance of -9 to 0 is 9
Then:
[tex]|-9|=9[/tex]For part 2:
Doing the same with -3, the distance to 0 is 3, and the distance from 4 to 0 is 4.
Then:
[tex]|-3|+|4|=3+4=7[/tex]