How many micrograms (mcg) are in 2 grams (g) of sugar? Conversion factors: 1000 mcg = 1 mg, and 1000 mg = 1 g. Show all work using dimensional analysis

To convert from grams to micrograms, we need to use the conversion factor that 1 g = 1,000,000 mcg.

So, if 1 g = 1,000,000 mcg, then 2 g = 2 * 1,000,000 mcg = 2,000,000 mcg.

Therefore, there are 2,000,000 micrograms (mcg) in 2 grams (g) of sugar.

To convert grams (g) to micrograms (mcg), we can use the conversion factors:

1 g = 1000 mg (conversion factor)
1 mg = 1000 mcg (conversion factor)

First, let's convert grams to milligrams:
2 g * 1000 mg/1 g = 2000 mg

Now, let's convert milligrams to micrograms:
2000 mg * 1000 mcg/1 mg = 2,000,000 mcg

Therefore, there are 2,000,000 micrograms (mcg) in 2 grams (g) of sugar.