Janiya found that her playlist will play for 3.8 * 10 ^ 2 seconds, 6. overline 3 * 10 ^ 5 * minutes , 1. overline 5 * 10 ^ 4 * hours , or 4. overline 39814 * 10 ^ 2 days. Which answer uses the most appropriate units? (1 point)
3.8 * 10 ^ 7 seconds
1. overline 5 * 10 ^ 4 * hours
4 overline 39814 * 10 ^ 2 * days
6. overline 3 * 10 ^ 5 minutes
The most appropriate unit for the given playlist duration is 4. overline 39814 * 10 ^ 2 days.
To determine which answer uses the most appropriate units, we need to convert all the given options to the same units. Since the duration is given in seconds, we need to convert the other units to seconds.
1. overline 5 * 10 ^ 4 * hours:
To convert hours to seconds, we multiply by 60 (minutes) and then by 60 (seconds):
1. overline 5 * 10 ^ 4 * 60 * 60 = 1.8 * 10 ^ 8 seconds
4 overline 39814 * 10 ^ 2 * days:
To convert days to seconds, we multiply by 24 (hours), then by 60 (minutes), and then by 60 (seconds):
4 overline 39814 * 10 ^ 2 * 24 * 60 * 60 = 4.344 * 10 ^ 8 seconds
6. overline 3 * 10 ^ 5 minutes:
To convert minutes to seconds, we multiply by 60 (seconds):
6. overline 3 * 10 ^ 5 * 60 = 1.8 * 10 ^ 8 seconds
Comparing the conversions, we see that both option 1 and option 6 result in the same value of 1.8 * 10 ^ 8 seconds. Therefore, either option 1 or option 6 can be considered as using the most appropriate units.
To determine which answer uses the most appropriate units, we need to convert all the given values to the same units.
Let's start by converting the given values to seconds:
3.8 * 10^2 seconds = 380 seconds
6. overline 3 * 10^5 minutes = 630000 minutes = 630000 * 60 seconds = 37800000 seconds
1. overline 5 * 10^4 hours = 150000 hours = 150000 * 60 minutes = 9000000 minutes = 9000000 * 60 seconds = 540000000 seconds
4. overline 39814 * 10^2 days = 439814 days = 439814 * 24 hours = 10555656 hours = 10555656 * 60 minutes = 633339360 minutes = 633339360 * 60 seconds = 38000361600 seconds
Now we can compare the values in seconds:
380 seconds vs 37800000 seconds vs 540000000 seconds vs 38000361600 seconds
The answer that uses the most appropriate units is:
4. overline 39814 * 10 ^ 2 days, which equals 38000361600 seconds.