Step 1 :Substitute \(t = 200\) into the equation \(P=4-0.02 t\).
Step 2 :Calculate the result to find the fractional part of the batteries that is still operating after 200 hours of use.
Step 3 :After calculation, the result is 0.0. This means that after 200 hours of use, no fractional part of the batteries is still operating.
Step 4 :The final answer is \(\boxed{0.0}\)