Is 3/16" machine screw equivalent to a #10?

I need a tap to repair some damaged female threads that take a #10-32 machine screw. The employee at Home Depot helped me, but picked out a 3/16"-32 tap (Triumph brand). I had no idea these two items were the same. Can anyone verify this for me before I open the package? Thank you.
I just re-read the op's first sentence. You need a rethreader or a thread chaser. You may be asking for trouble using a tap to clean threads.