Time on a Digital Clock
A digital clock shows time using numbers instead of hands. It is easy to read because it displays the hour and minutes directly, separated by a colon (:).
In Class 3, you learn to read time on both analog (with hands) and digital clocks. Digital clocks are found on mobile phones, microwaves, computers, and watches.
Understanding how to read a digital clock is an important life skill that helps you manage your daily routine.
What is Time on a Digital Clock - Class 3 Maths (Time (Grade 3))?
A digital clock displays time in the format hours : minutes.
10 : 35
The number before the colon shows the hour. The number after the colon shows the minutes.
Two formats:
| Format | Hour Range | Example |
|---|---|---|
| 12-hour | 1 to 12 (with a.m./p.m.) | 7:30 a.m. (morning) |
| 24-hour | 0 to 23 | 19:30 (evening) |
In Class 3, we mostly use the 12-hour format.
a.m. = midnight to noon (12:00 a.m. to 11:59 a.m.)
p.m. = noon to midnight (12:00 p.m. to 11:59 p.m.)
Types and Properties
Reading Different Times on a Digital Clock
1. O'clock Times
When the minutes show :00, it is an exact hour.
- 3:00 → Three o'clock
- 9:00 → Nine o'clock
2. Half Past
When the minutes show :30, it is half past the hour.
- 4:30 → Half past four
- 11:30 → Half past eleven
3. Quarter Past and Quarter To
- :15 → Quarter past (15 minutes after the hour)
- :45 → Quarter to (15 minutes before the next hour)
Example: 6:15 = Quarter past 6; 6:45 = Quarter to 7
4. Any Minute
A digital clock can show any minute from :00 to :59.
- 2:07 → Two oh-seven (7 minutes past 2)
- 8:52 → Eight fifty-two (52 minutes past 8)
Solved Examples
Example 1: Example 1: Reading an O'clock Time
Question: A digital clock shows 5:00. What time is it?
Think:
- Hour = 5, Minutes = 00
- This is an exact hour
Answer: It is 5 o'clock.
Example 2: Example 2: Reading Half Past
Question: A clock shows 7:30. What time is it?
Think:
- Hour = 7, Minutes = 30
- 30 minutes = half an hour
Answer: It is half past 7 (or 7:30).
Example 3: Example 3: Quarter Past
Question: A clock shows 3:15. Read the time.
Think:
- Hour = 3, Minutes = 15
- 15 minutes = quarter of an hour
Answer: It is quarter past 3 (or 3:15).
Example 4: Example 4: Quarter To
Question: A clock shows 8:45. How do you read this?
Think:
- Hour = 8, Minutes = 45
- 45 minutes past 8 = 15 minutes before 9
Answer: It is quarter to 9 (or 8:45).
Example 5: Example 5: a.m. and p.m.
Question: Ria wakes up at 6:30 a.m. and goes to bed at 9:00 p.m. Which is morning and which is night?
Think:
- a.m. = before noon → morning
- p.m. = after noon → evening/night
Answer: 6:30 a.m. is morning; 9:00 p.m. is night.
Example 6: Example 6: Writing Time in Digital Format
Question: An analog clock shows the hour hand on 10 and the minute hand on 6. Write the time in digital format.
Think:
- Hour hand on 10 → hour is 10
- Minute hand on 6 → 6 × 5 = 30 minutes
Answer: The time is 10:30.
Example 7: Example 7: Word Problem – School
Question: School starts at 8:15 a.m. Aman reaches at 8:05 a.m. Is he early or late? By how many minutes?
Think:
- 8:05 comes before 8:15
- 15 − 5 = 10 minutes
Answer: Aman is 10 minutes early.
Example 8: Example 8: Elapsed Time
Question: A movie starts at 4:00 p.m. and ends at 6:30 p.m. How long is the movie?
Think:
- From 4:00 to 6:00 = 2 hours
- From 6:00 to 6:30 = 30 minutes
- Total = 2 hours 30 minutes
Answer: The movie is 2 hours 30 minutes long.
Example 9: Example 9: Converting Analog to Digital
Question: The hour hand is between 2 and 3, and the minute hand is on 9. What does the digital clock show?
Think:
- Hour hand between 2 and 3 → hour is 2
- Minute hand on 9 → 9 × 5 = 45 minutes
Answer: The digital clock shows 2:45.
Example 10: Example 10: Minutes After Midnight
Question: A digital clock shows 12:00 a.m. Is this noon or midnight?
Think:
- 12:00 a.m. = midnight (the start of a new day)
- 12:00 p.m. = noon (the middle of the day)
Answer: 12:00 a.m. is midnight.
Real-World Applications
Where Do We See Digital Clocks?
- Mobile phones: Show time in digital format.
- Microwave and oven: Display cooking time digitally.
- Computers and tablets: Show current time.
- Railway stations: Departure and arrival times on boards.
- Schools: Bell timings displayed digitally.
Key Points to Remember
- A digital clock shows time as hours : minutes.
- The number before the colon is the hour; after the colon is the minutes.
- :00 = o'clock, :15 = quarter past, :30 = half past, :45 = quarter to.
- a.m. is from midnight to noon; p.m. is from noon to midnight.
- 12:00 a.m. = midnight; 12:00 p.m. = noon.
- To convert from analog to digital: read the hour from the short hand and multiply the minute-hand number by 5.
Practice Problems
- Write the digital time for 'quarter past 9'.
- A clock shows 11:45. Read this time in words.
- Is 7:00 p.m. morning or evening?
- School lunch is at 12:30 p.m. Write this on a digital clock.
- A cartoon starts at 5:15 p.m. and ends at 5:45 p.m. How long is it?
- The hour hand is on 4 and the minute hand is on 12. Write the digital time.
- Priya's bus comes at 7:20 a.m. She reaches the bus stop at 7:15 a.m. Is she early or late? By how much?
Frequently Asked Questions
Q1. What is a digital clock?
A digital clock displays time using numbers (digits) instead of hands. It shows the hour and minutes separated by a colon, like 3:45.
Q2. How do I read time on a digital clock?
The number before the colon is the hour. The number after the colon is the minutes. For example, 10:25 means 10 hours and 25 minutes.
Q3. What is the difference between a.m. and p.m.?
a.m. means the time from midnight (12:00 a.m.) to just before noon. p.m. means the time from noon (12:00 p.m.) to just before midnight.
Q4. Is 12:00 a.m. noon or midnight?
12:00 a.m. is midnight. 12:00 p.m. is noon.
Q5. What does :00 mean on a digital clock?
:00 means zero minutes past the hour — it is an exact hour (o'clock). For example, 6:00 means exactly 6 o'clock.
Q6. How do I convert analog clock time to digital?
Read the hour from the short (hour) hand. Read the minutes by multiplying the number the long (minute) hand points to by 5. Write as hour:minutes.
Q7. What is the 24-hour format?
In the 24-hour format, hours go from 0 to 23 instead of 1 to 12. For example, 1:00 p.m. becomes 13:00, and 9:00 p.m. becomes 21:00. This is used in railways and airports.
Q8. What does 'quarter to' mean on a digital clock?
Quarter to means 15 minutes before the next hour. On a digital clock, it shows :45. For example, quarter to 5 is displayed as 4:45.
Q9. Why are digital clocks easier to read?
Digital clocks show the exact numbers for hours and minutes, so you do not need to count tick marks or interpret hand positions like on an analog clock.
