The 12-hour clock uses a.m. (before noon) and p.m. (after noon). The 24-hour clock counts the hours from 0 to 23, so afternoon times keep going: 1 p.m. is 13:00 and 8 p.m. is 20:00.
To change a p.m. time to 24-hour, add 12 to the hours. Midnight is 00:00 and noon is 12:00.
Example 1: Write 3 p.m. in 24-hour time.
3 + 12 = 15, so 15:00.
Example 2: Write 20:00 in 12-hour time.
20 − 12 = 8, so 8 p.m.
Quick recap
p.m. to 24-hour: add 12 to the hours.
Midnight = 00:00; noon = 12:00.
✓ Quick check
6 p.m. in 24-hour time is ___ ?
6 + 12 = 18, so 18:00.
14:00 in 12-hour time is ___ ?
14 − 12 = 2, so 2 p.m.
Converting Units & Finding Duration
There are 60 minutes in an hour and 60 seconds in a minute. To change hours to minutes, multiply by 60; to change minutes to seconds, multiply by 60.
To find a duration, add the interval to the start time: 9:00 + 2 hours 30 minutes = 11:30.
Example 1: Change 3 hours into minutes.
3 × 60 = 180 minutes.
Example 2: A bus leaves at 9:00 and travels for 2 hours 30 minutes. When does it arrive?
9:00 + 2 h 30 min = 11:30.
Quick recap
1 hour = 60 minutes; 1 minute = 60 seconds.
End time = start time + duration.
✓ Quick check
5 hours = ___ minutes?
5 × 60 = 300 minutes.
4 minutes = ___ seconds?
4 × 60 = 240 seconds.
Calendars & Timetables
A calendar helps us find the day for a date and count the days between two dates. From 10 March to 15 March is 5 days.
A timetable lists start and end times. The journey length is the end time minus the start time.
Example 1: How many days are there from 10 March to 15 March?
15 − 10 = 5 days.
Example 2: A train leaves at 9:00 and arrives at 11:30. How long is the journey?
11:30 − 9:00 = 2 hours 30 minutes.
Quick recap
Days between dates = later date − earlier date.
Journey time = arrival time − departure time.
✓ Quick check
How many days are there from 1 January to 8 January?
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