Janiya found that her playlist will play for 3.8 X 10^2 seconds, 6.333… X 10^5 minutes, 1.0555… X 10^4 hours, or 4.39814 X 10^2 days. Which answer use is the most appropriate units?
1. 1.05 X 10^4 hours
2. 6.333… X 10^5 minutes
3. 3.8 X 10^7 seconds
4. 4.39814 X 10^2 days
The most appropriate unit to use would be option 4: 4.39814 X 10^2 days.
The most appropriate units to use for Janiya's playlist duration would be 4.39814 X 10^2 days.
To determine the most appropriate unit for Janiya's playlist duration, let's compare the different options:
1. 1.05 x 10^4 hours: This option represents the duration in hours. While it is a valid unit of time, it is not the most appropriate in this context since the number is relatively large.
2. 6.333... x 10^5 minutes: This option represents the duration in minutes. Since the given number is the largest among the options, it may seem like a feasible choice. However, it involves a repeating decimal, which is not practical in most cases, making it less suitable here.
3. 3.8 x 10^7 seconds: This option represents the duration in seconds. Although the number itself is large, it does not involve any repeating decimals and is a more commonly used unit of time.
4. 4.39814 x 10^2 days: This option represents the duration in days. While days can be a meaningful unit for certain scenarios, it is not the best choice for playlist durations, as it may require additional conversions to more commonly used units.
Considering the above comparisons, the most appropriate answer is 3.8 x 10^7 seconds. This unit allows for easier comprehension and avoids the complexity of repeating decimals or conversions to larger or less familiar units.