Question

3.32×10^−5g to micrograms

Express your answer to three significant figures and include the appropriate units.
Check that you have converted between SI units of mass correctly.

Answer 1

Answer: 33.2 micrograms

Step-by-step explanation:

We are going to convert grams to micrograms.

Step 1

Determine the conversion factors to use for converting grams to micrograms.

1 gram = 1000 milligrams

1 milligram = 1000 micrograms

Step 2

Use the number in the problem and the conversion factors to set up the problem so all conversion factors cancel except micrograms.

3.32 x 10⁻⁵ grams x (1000 milligrams/1 gram) x (1000 micrograms/1 milligram) = 33.2 micrograms/1 = 33.2 micrograms

Note that grams and milligrams cancel and you are left with micrograms. The given quantity 3.32 x 10⁻⁵ grams has 3 significant figures, so the final answer should have 3 significant figures too.