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¯¯¯ ×105 minutes
6 point modifying above 3 with bar times 10 superscript 5 baseline minutes
1.05 ¯¯¯¯¯¯ ×104 hours
1 point modifying above 05 with bar times 10 superscript 4 baseline hours
3.8×107 seconds
3.8 times 10 superscript 7 baseline seconds
4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×102 days
4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days
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 consider the conversion factor between the different units of time.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
Let's convert each option to days:
1) 6.3¯¯¯¯ ×10^5 minutes
To convert minutes to days, we divide by 60 (minutes per hour), then divide by 24 (hours per day).
6.3¯¯¯¯ ×10^5 minutes = (6.3¯¯¯¯ ×10^5) / (60 minutes/hour) / (24 hours/day) ≈ 437.5 days
2) 1.05¯¯¯¯¯ ×10^4 hours
To convert hours to days, we divide by 24 (hours per day).
1.05¯¯¯¯¯ ×10^4 hours = (1.05¯¯¯¯¯ ×10^4) / (24 hours/day) ≈ 437.5 days
3) 3.8×10^7 seconds
To convert seconds to days, we divide by 60 (seconds per minute), then divide by 60 (minutes per hour), then divide by 24 (hours per day).
3.8×10^7 seconds = (3.8×10^7) / (60 seconds/minute) / (60 minutes/hour) / (24 hours/day) ≈ 439.81 days
4) 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days (given)
This option is already in days.
From the conversions above, we can see that option 4, 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days, uses the most appropriate units.