Write these times in ascending order. 3 hours 138 minutes 2 hours and 42 minutes 0.1 days 8370 seconds
The Correct Answer and Explanation is :
Let’s convert all the given times into a common unit, such as minutes, for easier comparison:
- 3 hours:
3 hours × 60 minutes/hour = 180 minutes - 138 minutes:
Already in minutes. - 2 hours and 42 minutes:
2 hours = 2 × 60 = 120 minutes
120 minutes + 42 minutes = 162 minutes - 0.1 days:
1 day = 24 hours
0.1 days = 0.1 × 24 hours = 2.4 hours
2.4 hours = 2.4 × 60 minutes = 144 minutes - 8370 seconds:
1 minute = 60 seconds
8370 seconds ÷ 60 = 139.5 minutes
Now let’s list the converted times:
- 3 hours = 180 minutes
- 138 minutes
- 2 hours and 42 minutes = 162 minutes
- 0.1 days = 144 minutes
- 8370 seconds = 139.5 minutes
Arranging them in ascending order:
- 138 minutes
- 8370 seconds (139.5 minutes)
- 0.1 days (144 minutes)
- 2 hours and 42 minutes (162 minutes)
- 3 hours (180 minutes)
Explanation:
To compare different measurements of time, we need to express them in a single unit. I chose minutes, as it’s the easiest to work with here. We converted hours, days, and seconds into minutes using the following rules:
- 1 hour = 60 minutes
- 1 day = 24 hours, or 1440 minutes
- 1 minute = 60 seconds
Once all times were converted to minutes, we simply listed them in increasing order. Thus, the final order is: 138 minutes, 139.5 minutes, 144 minutes, 162 minutes, and 180 minutes. This method ensures that no matter how times are expressed (hours, days, or seconds), they can be easily compared.