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Which of the following conversion factors can be used to convert grams (g) to micrograms (µg)?
A
1 g = 1,000 µg
B
1 g = 100 µg
C
1 g = 10,000 µg
D
1 g = 1,000,000 µg
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1
Understand the relationship between grams (g) and micrograms (\(\mu\) g). The prefix \"micro-\" means one millionth (10^{-6}), so 1 microgram is \(1 \times 10^{-6}\) grams.
To convert grams to micrograms, you need to find how many micrograms are in one gram. Since 1 microgram = \(10^{-6}\) grams, then 1 gram = \(\frac{1}{10^{-6}} = 10^{6}\) micrograms.
Express this conversion factor as an equality: \(1\ \text{g} = 1,000,000\ \mu\text{g}\).
Check the given options against this correct conversion factor. The only correct one is \(1\ \text{g} = 1,000,000\ \mu\text{g}\).
Use this conversion factor to convert grams to micrograms by multiplying the number of grams by \(1,000,000\ \mu\text{g} / 1\ \text{g}\).