Janiya found that her playlist will play for 3.8×10^2 seconds, 6.3¯ ×10^5 minutes, 1.05¯¯ ×10^4 hours, or 4.39814¯¯¯¯¯ ×10^2 days. Which answer uses the most appropriate units?
1.05 ¯¯ ×10^4 hours1 point modifying above 05 with bar times 10 superscript 4 baseline hours
4.39814¯¯¯¯¯ ×10^2 days 4 point modifying above 39814 with bar times 10 squared days
3.8×10^7 seconds3.8 times 10 superscript 7 baseline seconds
6.3¯ ×10^5 minutes
6.3 ¯ ×10^5 minutes
The answer that uses the most appropriate units is 4.39814¯¯¯¯¯ ×10^2 days.
To determine which answer uses the most appropriate units, we need to compare the magnitudes of the values given.
1.05¯¯¯¯×10^4 hours can be simplified to 10,500 hours.
4.39814¯¯¯¯¯×10^2 days can be simplified to 439.814 days.
3.8×10^7 seconds can be simplified to 38,000,000 seconds.
6.3¯¯¯¯×10^5 minutes can be simplified to 630,000 minutes.
Comparing these values, we find that 3.8×10^7 seconds is the largest magnitude among the given options. Therefore, the answer that uses the most appropriate units is 3.8×10^7 seconds.