Janiya found that her playlist will play for 3.8 × 10^2seconds, 6.3 × 10^5minutes, 1.05 × 10^5 hours, or 4.39814 × 10^2 days. Which answer uses the most appropriate units? (1 point)
O 3.8 x 10^7 seconds
O 6.3 × 10^5 minutes
O 1.05 × 10^4 hours
O 4.39814 × 10^2 days
To determine the most appropriate units, we need to choose the option that represents the largest amount of time.
Since there are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day, we can convert the given values to the following units:
- 3.8 × 10^2 seconds = 3.8 × 100 = 380 seconds
- 6.3 × 10^5 minutes = 6.3 × 100,000 = 630,000 minutes
- 1.05 × 10^5 hours = 1.05 × 100,000 = 105,000 hours
- 4.39814 × 10^2 days = 4.39814 × 100 = 439.814 days
Comparing these values, we can see that the option with the largest amount of time is "O 6.3 × 10^5 minutes". So, the answer is 6.3 × 10^5 minutes.
O 3.8 x 10^7 seconds
To determine the most appropriate unit, we need to consider which unit of time is the largest.
Let's compare the given units:
1. Seconds: 3.8 × 10^2 seconds.
2. Minutes: 6.3 × 10^5 minutes.
3. Hours: 1.05 × 10^5 hours.
4. Days: 4.39814 × 10^2 days.
To convert between these units, we can use the following relationships:
1 minute = 60 seconds,
1 hour = 60 minutes,
1 day = 24 hours.
Let's convert each unit to seconds:
1. Seconds: 3.8 × 10^2 seconds.
2. Minutes: 6.3 × 10^5 minutes = (6.3 × 10^5) * (60 seconds/minute) = 3.78 × 10^7 seconds.
3. Hours: 1.05 × 10^5 hours = (1.05 × 10^5) * (60 minutes/hour) * (60 seconds/minute) = 3.78 × 10^7 seconds.
4. Days: 4.39814 × 10^2 days = (4.39814 × 10^2) * (24 hours/day) * (60 minutes/hour) * (60 seconds/minute) ≈ 3.8 × 10^7 seconds.
Comparing these results, we see that both the conversion of minutes and hours are approximately equal to 3.8 × 10^7 seconds.
However, since the question asks for the answer in an integer multiple of the given quantity, we can choose the most appropriate answer:
Therefore, the most appropriate answer is:
O 3.8 x 10^7 seconds.