A spaceship from another planet travels at a speed of 4.27 googs per mulm. There are 256 googs in a plotz and 12.3 plotz in a wraslm. If 3.4 tpocks equal one mulm, what is the ship’s speed in wraslm per tpock? Show your work. In this case, assume numbers with decimal places are measured but whole numbers are exact.

Answer 1

This is not hard to do but it is a little tedious. What you want to do is make all of the units cancel except for wraslm/tpocks.
You do best by writing down the conversion factors so you can see them while solving the problem.
256 googs = 1 plotz
12.3 plotz = 1 wraslm
3.4 tpocks = 1 mulm-----check those.
Now just start with what we have (4.27 googs/mulm) to cancel units.
4.27 googs/mulm x (1 mulm/3.4 tpocks) x (1 plotz/256 googs) x (1 wraslm/12.3 plotz) = ? wraslm/tpocks
Check this. Note the the units cancel to end up with what you want (at least that's what is supposed to happen.)