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

Answer: (D)

Verified step by step guidance

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.
2. 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.
3. Express this conversion factor as an equality: \(1\ \text{g} = 1,000,000\ \mu\text{g}\).
4. Check the given options against this correct conversion factor. The only correct one is \(1\ \text{g} = 1,000,000\ \mu\text{g}\).
5. Use this conversion factor to convert grams to micrograms by multiplying the number of grams by \(1,000,000\ \mu\text{g} / 1\ \text{g}\).