The medicine is supplied in the amount 3,000,000 mcg. How many grams are in the medicine? Show all work using dimensional analysis

1 g = 1,000,000 mcg

To convert mcg to grams, we can set up a conversion factor:

(3,000,000 mcg) * (1 g / 1,000,000 mcg) = 3 g

Therefore, there are 3 grams in the medicine.

To convert mcg (micrograms) to grams, we can use the following conversion factor:

1 gram = 1,000,000 micrograms

Let's set up the dimensional analysis using this conversion factor:

3,000,000 mcg * (1 gram / 1,000,000 mcg)

Now, let's solve the equation step by step:

Step 1: Cancel out the units by multiplying across the numerator and denominator:

= 3,000,000 * 1/1,000,000 mcg * gram

= 3 grams

Therefore, there are 3 grams in the medicine.