Review the key concepts, formulae, and examples before starting your quiz.
šConcepts
The 24-hour clock format is a way of telling time where the day runs from midnight to midnight and is divided into hours. Unlike the 12-hour clock, it does not use 'a.m.' or 'p.m.'. Imagine a long number line starting at (midnight) and ending at (the next midnight).
In this format, time is expressed using four digits: the first two digits represent the hours and the last two digits represent the minutes. For example, means hours and minutes. Visualise a digital clock display where the hours always show two digits, like instead of just .
Midnight is the start of the day and is written as hours. Noon is written as hours. If you look at a 24-hour clock face, you might see at the top, and as you move past it into the afternoon, the numbers continue as and so on.
For any time from a.m. to p.m., the hours in the 24-hour format stay the same as the 12-hour format (except midnight). For example, a.m. becomes hours. You can think of this as simply adding a leading zero if the hour is a single digit.
To convert P.M. time (from p.m. to p.m.) to the 24-hour format, you add to the number of hours. For example, to find p.m. on a 24-hour scale, you take and add to get hours. This is like continuing the count after noon (, , etc.).
To convert a 24-hour time back to a 12-hour P.M. time, if the hour is greater than , you subtract from the hours and add 'p.m.'. If the time is , you calculate , so it is p.m.
The 24-hour format is commonly used by railways, airlines, and the military to avoid confusion between day and night. Visualise a railway timetable where a train departing at clearly means at night, leaving no doubt for the passengers.
šFormulae
š”Examples
Problem 1:
Convert p.m. into the 24-hour clock format.
Solution:
Step 1: Identify if the time is a.m. or p.m. Here, it is p.m. Step 2: Add to the hours. Step 3: Keep the minutes the same (). Step 4: Combine them in format. The time is hours.
Explanation:
Since the time is in the evening (p.m.), we add to the hour to find its position in the 24-hour cycle.
Problem 2:
A train arrives at the station at hours. What is this time in the 12-hour clock format?
Solution:
Step 1: Check if the hours are greater than . Here, . Step 2: Subtract from the hours. Step 3: Keep the minutes the same (). Step 4: Since the original hours were more than , we add 'p.m.' to the result. The time is p.m.
Explanation:
When the 24-hour clock shows a number greater than , it represents a time in the afternoon or evening. Subtracting gives the equivalent 12-hour time.