How many micrograms are in 0.23 kg?

• A. 2.3 \times 10^9 micrograms
• B. 2.3 \times 10^8 micrograms
• C. 2.3 \times 10^6 micrograms
• D. 2.3 \times 10^5 micrograms

Answer: (B)

Verified step by step guidance

1. Identify the given quantity and the units you need to convert: you have 0.23 kilograms (kg) and want to convert it to micrograms (\( \mu g \)).
2. Recall the unit conversion factors: 1 kilogram (kg) = 1000 grams (g), and 1 gram (g) = 1,000,000 micrograms (\( \mu g \)).
3. First, convert kilograms to grams using the relation: \( 0.23\ \text{kg} \times \frac{1000\ \text{g}}{1\ \text{kg}} \).
4. Next, convert grams to micrograms using the relation: \( \text{grams} \times \frac{1,000,000\ \mu g}{1\ \text{g}} \).
5. Multiply the two conversion factors together with the original quantity to find the total micrograms: \( 0.23 \times 1000 \times 1,000,000 \), then express the result in scientific notation.