Janiya found that her playlist will play for 3.8 x 10^2 seconds, 6.3 x 10^5 minutes , 1.05 x 10^4 hours,or 4.39814 x 10^2 days. Which answer uses the most appropriate units?
The most appropriate unit for the length of time for Janiya's playlist would be days.
To determine which answer uses the most appropriate units, we need to compare the different units provided.
The choices are:
- 3.8 x 10^2 seconds
- 6.3 x 10^5 minutes
- 1.05 x 10^4 hours
- 4.39814 x 10^2 days
Comparing the units, we can see that days is the largest unit of time, followed by hours, minutes, and seconds.
Therefore, the answer that uses the most appropriate units is 4.39814 x 10^2 days.
To determine which answer uses the most appropriate units, we need to compare the given options: 3.8 x 10^2 seconds, 6.3 x 10^5 minutes, 1.05 x 10^4 hours, and 4.39814 x 10^2 days.
First, let's convert all the given options to the same unit of time. Since days is the largest unit of time among the options, let's convert all the other units to days:
1) Converting seconds to days:
There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Therefore, to convert seconds to days, we divide the given value by (60 x 60 x 24):
3.8 x 10^2 seconds ≈ 4.39814 x 10^2 days
2) Converting minutes to days:
There are 60 minutes in an hour and 24 hours in a day. Therefore, to convert minutes to days, we divide the given value by (60 x 24):
6.3 x 10^5 minutes ≈ 4.375 days
3) Converting hours to days:
There are 24 hours in a day. Therefore, to convert hours to days, we divide the given value by 24:
1.05 x 10^4 hours ≈ 4.375 days
4) Given value in days:
4.39814 x 10^2 days = 4.39814 x 10^2 days
Comparing the converted values, we see that the answer in terms of days, which is 4.39814 x 10^2 days, uses the most appropriate units.