If you have 5.0 miles and you want to convert it to kilometers, using the conversion factor 1 mile = 1.60934 kilometers, how many kilometers do you have?

• A. 10.0 kilometers
• B. 3.1069 kilometers
• C. 7.5 kilometers
• D. 8.0467 kilometers

Answer: (D)

Verified step by step guidance

1. Identify the given value and the conversion factor: You have 5.0 miles and the conversion factor is 1 mile = 1.60934 kilometers.
2. Set up the conversion equation using the given conversion factor. Multiply the number of miles by the conversion factor to convert miles to kilometers.
3. Write the equation: \( \text{kilometers} = 5.0 \text{ miles} \times 1.60934 \frac{\text{kilometers}}{\text{mile}} \).
4. Perform the multiplication to find the number of kilometers. This involves multiplying 5.0 by 1.60934.
5. Ensure that the units cancel appropriately, leaving you with the final unit of kilometers.