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 point)
Responses
6.3¯¯¯ ×10^5 minutes
6 point modifying above 3 with bar times 10 superscript 5 baseline minutes
1.05 ¯¯¯¯¯¯ ×10^4 hours
1 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 seconds
The answer with the most appropriate units would be "4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days".
The most appropriate units would be 3.8×10^7 seconds.
To determine the answer that uses the most appropriate units, we need to compare the given units and their magnitudes.
The options are as follows:
1. 6.3¯ × 10^5 minutes
2. 1.05¯¯¯¯¯ × 10^4 hours
3. 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ × 10^2 days
4. 3.8 × 10^7 seconds
We can convert the given units into seconds for easier comparison.
1. Convert minutes to seconds:
6.3¯ × 10^5 minutes * 60 seconds/minute = 3.78 × 10^7 seconds
2. Convert hours to seconds:
1.05¯¯¯¯¯ × 10^4 hours * 60 minutes/hour * 60 seconds/minute = 3.78 × 10^7 seconds
3. Convert days to seconds:
4.39814¯¯¯¯¯¯¯¯¯¯¯¯ × 10^2 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 3.8 × 10^7 seconds
4. 3.8 × 10^7 seconds
Comparing the magnitudes of the converted units, we can see that the answer with 3.8 × 10^7 seconds is the largest value. Therefore, the answer that uses the most appropriate units is "3.8 × 10^7 seconds".