Janiya found that her playlist will play for 3.8 × 10? seconds, 6.3 × 10 minutes, 1.05 × 104 hours, or 4.39814 × 10? days. Which answer uses the most appropriate units? (1 point)
O 3.8 x 107 seconds
O 6.3 × 105 minutes
O 1.05 × 104 hours
O 4.39814 × 10? days
The most appropriate units to use would be days since the given time values are already in hours and minutes.
Therefore, the answer is: O 4.39814 × 10^-1 days
To determine the most appropriate unit, we need to convert all the given options to the same unit.
Option 1: 3.8 × 10? seconds
Option 2: 6.3 × 10 minutes
Option 3: 1.05 × 10^4 hours
Option 4: 4.39814 × 10? days
Let's convert all the options to seconds for comparison:
Option 1: 3.8 × 10? seconds = 3.8 × 10? seconds
Option 2: 6.3 × 10 minutes = 6.3 × 10 × 60 seconds = 3.78 × 10? seconds
Option 3: 1.05 × 10^4 hours = 1.05 × 10^4 × 60 × 60 seconds ≈ 3.78 × 10? seconds
Option 4: 4.39814 × 10? days = 4.39814 × 10? × 24 × 60 × 60 seconds ≈ 3.81 × 10? seconds
Comparing all the options, we can see that Option 4: 4.39814 × 10? days uses the most appropriate units since it is expressed in days.
To determine the answer that uses the most appropriate units, we need to compare the given values in terms of magnitude. The unit that is most appropriate will be the one with the largest magnitude.
Given:
3.8 × 10? seconds
6.3 × 10 minutes
1.05 × 10? hours
4.39814 × 10? days
First, let's look at the seconds:
3.8 × 10? seconds
Now, let's convert the minutes to seconds:
6.3 × 10 minutes = 6.3 × 10 × 60 seconds = 3.78 × 10? seconds
Next, let's convert the hours to seconds:
1.05 × 10? hours = 1.05 × 10 × 60 × 60 seconds = 3.78 × 10? seconds
Lastly, let's convert the days to seconds:
4.39814 × 10? days = 4.39814 × 10 × 24 × 60 × 60 seconds = 3.80 × 10? seconds
Comparing the magnitudes, we can see that the value expressed in seconds, 3.80 × 10? seconds, has the largest magnitude. Therefore, the answer that uses the most appropriate units is:
O 3.8 x 107 seconds