I need help with another chemistry problem?

Question

The masses of diamonds and gems are measured in carats. A carat is defined as 200 mg. If a jeweler has 275 carats of diamonds, how many grams does she have?

I don't remember how to convert the units but my guess was 5.5 x 10^-13 grams. Help me!?!

Answer 1

1 carat=200mg=200*10^ -3g

275 carat=275*200*10^ -3g

             =55g

Answer 2

275 x 200 = 55,000 mg => 55 g