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?
The most appropriate unit to represent the length of time for a playlist is days.
To determine which answer uses the most appropriate units, we need to consider the duration of the playlist. Let's convert each option to a more common unit.
1. 3.8 × 10^2 seconds: This is approximately 380 seconds.
2. 6.3 × 10^5 minutes: This is approximately 630,000 minutes.
3. 1.05 × 10^4 hours: This is approximately 10,500 hours.
4. 4.39814 × 10^2 days: This is approximately 439.814 days.
Out of these options, the answer that uses the most appropriate units is 439.814 days. This is because it provides a longer time duration that better suits the length of a playlist.
To determine which answer uses the most appropriate units, we need to compare the given values in seconds, minutes, hours, and days.
The given values are:
- 3.8 × 10^2 seconds
- 6.3 × 10^5 minutes
- 1.05 × 10^4 hours
- 4.39814 × 10^2 days
Let's compare these values by converting them to a common unit, such as seconds.
1 minute = 60 seconds
1 hour = 60 minutes = 60 * 60 = 3600 seconds
1 day = 24 hours = 24 * 3600 = 86400 seconds
Converting the given values:
- 3.8 × 10^2 seconds = 380 seconds
- 6.3 × 10^5 minutes = 6.3 * 10^5 * 60 = 3.78 × 10^7 seconds
- 1.05 × 10^4 hours = 1.05 * 10^4 * 3600 = 3.78 × 10^7 seconds
- 4.39814 × 10^2 days = 4.39814 * 10^2 * 86400 = 3.8 × 10^7 seconds
Comparing the values, we can see that both 6.3 × 10^5 minutes and 1.05 × 10^4 hours can be converted to the same unit, which is seconds, and have the value of 3.78 × 10^7 seconds.
Therefore, the most appropriate units to represent the playlist duration are 6.3 × 10^5 minutes or 1.05 × 10^4 hours, as they have the same value in seconds.
Note: The exact representation of the values may vary due to rounding differences.