Here is your answer:
|-200|=200 (in absolute value)
When you are doing questions like these remember to look at the negative sign if their a negative sign its a positive if its a positive its still a positive look at it this way negative represents a dirty car the line ( | ) represents a car wash when going through the car wash your car is going to be clean. Clean represents positive but if you go into a car wash with a clean car your going to have a clean car still which means its still a positive.
Look at it this way:
Negative=positive
Positive=Negative
Your answer is 200