Janiya found that her playlist will play for 3.8 x 10^2 seconds, 6.3̅ x 10^5 minutes, 1.0̅5̅ x 10^4 hours, or 4.3̅9̅8̅1̅4̅ x 10^2 days. Which answer uses the most appropriate units?
1. 4.3̅9̅8̅1̅4̅ x 10^2 days
2. 1.0̅5̅ x 10^4 hours
3. 6.3̅ x 10^5 minutes
4. 3.8 x 10^2 seconds
The most appropriate unit of time to describe the length of Janiya's playlist is minutes. Therefore, the answer that uses the most appropriate units is:
3. 6.3̅ x 10^5 minutes
To determine the answer that uses the most appropriate units, let's compare the different options.
1. 4.3̅9̅8̅1̅4̅ x 10^2 days - This option uses the largest unit of time, days.
2. 1.0̅5̅ x 10^4 hours - This option uses the unit of hours, which is smaller than days but larger than minutes or seconds.
3. 6.3̅ x 10^5 minutes - This option uses the unit of minutes, which is smaller than hours, days, and seconds.
4. 3.8 x 10^2 seconds - This option uses the smallest unit of time, seconds.
Comparing the options, we can see that option 1, 4.3̅9̅8̅1̅4̅ x 10^2 days, uses the largest unit of time, making it the most appropriate answer.
To determine which answer uses the most appropriate units, we need to compare the sizes of the numbers in the exponent. The larger the number in the exponent, the larger the unit of time.
1. 4.3̅9̅8̅1̅4̅ x 10^2 days: In this case, the exponent is 10^2, which means the unit is "days." This represents a relatively large unit of time.
2. 1.0̅5̅ x 10^4 hours: The exponent for this answer is 10^4, which means the unit is "hours." This represents a smaller unit than "days" but larger than "minutes" and "seconds."
3. 6.3̅ x 10^5 minutes: The exponent for this answer is 10^5, which means the unit is "minutes." This represents a smaller unit of time than both "days" and "hours."
4. 3.8 x 10^2 seconds: This answer has the smallest unit of time. The exponent is 10^2, representing "seconds."
By comparing the sizes of the units, we can conclude that the answer that uses the most appropriate units is option 1: 4.3̅9̅8̅1̅4̅ x 10^2 days.