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Year 3 Maths Time

Read digital time

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Theory

Reading digital time is a Year 3 skill: a digital clock shows the time as h:mm, where the colon separates the hour from the minutes. This page explains how to read a digital clock, link it to o'clock, half past and quarter past, keep the zero in times like 11:05, work out the minutes to the next hour, order digital times and add am or pm. Writing am and pm is Year 4 content in both the Australian and the Victorian Curriculum; it appears here because digital clocks often show it. Curriculum: VC2M3M04 / AC9M3M04.

A digital clock shows the time with numbers, like 4:35. The two numbers are joined by a colon (:). The number before the colon is the hour and the number after it is the minutes. So \(4\!:\!35\) is 35 minutes past 4 o'clock, and we say it as "four thirty-five". The minutes after the colon are always minutes past the hour, never minutes to it.

There are 60 minutes in 1 hour, so the minutes count from 00 up to 59. The minutes always show two digits. When there are only a few minutes the clock keeps a zero: \(11\!:\!05\) means 5 minutes past 11, not 50. After \(:\!59\) the minutes start again at \(00\) and the hour goes up by one, so one minute after \(6\!:\!59\) the clock shows \(7\!:\!00\).

Times you know from an analog clock have digital forms too. "O'clock" is \(:\!00\), "half past" is \(:\!30\), and "quarter past" is \(:\!15\). Many clocks also show am or pm.

am is for times from midnight to midday (the morning) and pm is for times from midday to midnight (the afternoon, evening and night). Midday is written \(12\!:\!00\) pm and midnight is \(12\!:\!00\) am.

Digital clock display showing 4:35 with the parts labelled A digital screen shows 4:35. The 4 before the colon is labelled hour and the 35 after it is labelled minutes. 4 : 35 hour minutes
The hour is before the colon; the minutes are after it.
An analog clock and a digital clock both showing half past nine An analog clock face with the short hour hand between 9 and 10 and the long minute hand on 6, beside a digital screen showing 9:30. Both show half past nine. 1 2 3 4 5 6 7 8 9 10 11 12 9:30
The same time both ways: half past nine is \(9\!:\!30\).

Reading digital time does not need formulas, but these time facts help you read and rename any digital clock.

\[ 60 \text{ minutes} = 1 \text{ hour} \]
60 minutes =1 hour
\[ \dfrac{1}{2} \text{ hour} = 30 \text{ minutes} \]
12 hour =30 minutes
\[ \dfrac{1}{4} \text{ hour} = 15 \text{ minutes} \]
14 hour =15 minutes
We sayMinutes pastDigital time (past 10)
o'clock0010:00
quarter past1510:15
half past3010:30
quarter to (next hour)4510:45
The colon splits the time. In \(h\!:\!mm\) the part before the colon is the hour and the part after it is the minutes. The minutes always fill two digits, so \(6\!:\!05\) is 5 minutes past 6, not 50.
am or pm? am runs from midnight to midday; pm runs from midday to midnight. Midday is \(12\!:\!00\) pm and midnight is \(12\!:\!00\) am.

How to read a digital time

  1. Find the colon. It splits the time into two parts: the hour on the left and the minutes on the right.
  2. Read the hour first. Say the number before the colon as the hour.
  3. Read the minutes. Say the two digits after the colon as the minutes past the hour, keeping any zero (05 is five, not fifty).

How to say minutes to the next hour

  1. Take the minutes away from 60. For \(2\!:\!40\), \(60 - 40 = 20\).
  2. Say them to the next hour. \(2\!:\!40\) is 20 minutes to 3, or "twenty to three".

How to add am or pm

  1. Think about when it happens. After midnight and before midday (the morning) is am.
  2. Afternoon, evening or night (after midday, before midnight) is pm. Write it after the time, like \(4\!:\!20\) pm.
Example 1 β€” Read the time
Write how we say the digital time \(10\!:\!25\).
Digital clock display showing 10:25 A digital screen showing the time 10:25, which is 25 minutes past 10. 10:25
Solution
\(\text{hour}\)\(=\)\(10\)
\(\text{minutes}\)\(=\)\(25\)
10:25

We say "twenty-five past ten".

Example 2 β€” Half past in digital
Write "half past 4" as a digital time.
Solution
\(\dfrac{1}{2}\text{ hour}\)\(=\)\(30\text{ minutes}\)
\(30\text{ minutes past }4\)\(=\)\(4\!:\!30\)
half past 4 =4:30

Half past means 30 minutes, so the answer is \(4\!:\!30\).

Example 3 β€” Minutes to the next hour
The clock shows \(8\!:\!52\). How many minutes until \(9\) o'clock?
Digital clock display showing 8:52 A digital screen showing the time 8:52, which is 52 minutes past 8. 8:52
Solution
\(8\!:\!52 \to 9\!:\!00\)\(=\)\(60 - 52\)
\(60 - 52\)\(=\)\(8\)
60-52=8

It is \(8\) minutes to 9, so \(8\!:\!52\) is "eight minutes to nine".

Example 4 β€” Put times in order
Put \(3\!:\!05,\ 3\!:\!50\) and \(3\!:\!15\) in order from earliest to latest.
Solution
\(\text{hours}\)\(=\)\(3,\ 3,\ 3\)
\(\text{minutes}\)\(:\)\(05 \lt 15 \lt 50\)
3:05<3:15<3:50

The hour is the same, so order the minutes: \(3\!:\!05,\ 3\!:\!15,\ 3\!:\!50\).

Example 5 β€” From a clock face
This clock shows a time in the afternoon.
(i) Write it as a digital time with am or pm.
(ii) Say the time as minutes to the next hour.
Analog clock showing 1:40 (twenty to two) The short hour hand is between 1 and 2; the long minute hand points to the 8, which is 40 minutes past 1. 1 2 3 4 5 6 7 8 9 10 11 12
Solution
\(\text{hour hand}\)\(\to\)\(\text{between }1\text{ and }2\)
\(\text{minute hand} \to 8\)\(=\)\(40\text{ min}\)
\(60 - 40\)\(=\)\(20\text{ min to }2\)
1:40 pm, 60 - 40 = 20 minutes to 2

(i) \(1\!:\!40\) pm, because it is in the afternoon.
(ii) Twenty to two.

Example 6 β€” Digital time with am or pm
Swimming starts at twenty past four in the afternoon. Write this as a digital time with am or pm.
Solution
\(\text{twenty past }4\)\(=\)\(4\!:\!20\)
\(\text{afternoon}\)\(\to\)\(\text{pm}\)
4:20 pm

Swimming starts at \(4\!:\!20\) pm.

Common pitfalls

Read the hour first. Watch out for reading the numbers backwards. \(4\!:\!35\) is "four thirty-five", not "thirty-five four".
The zero still counts. In \(11\!:\!05\) the 0 holds the tens place, so the minutes are \(05 = 5\), not 50. Always read both minute digits.
The colon is not a decimal point. \(4\!:\!30\) means half past four. It does not mean "four and a half" or four point three.
The minutes are past, not to. \(3\!:\!12\) is 12 minutes past 3. It is not 12 minutes to 3, which would be \(2\!:\!48\).

Frequently asked questions

How do you read a digital clock?

Read the number before the colon as the hour, then the number after the colon as the minutes. For \(4\!:\!35\) you say four thirty-five, which is 35 minutes past 4.

What does the colon mean in a digital time?

The colon separates the hour from the minutes. The number before it is the hour and the number after it is the minutes. It is not a decimal point.

Does 11:05 mean 5 or 50 minutes past eleven?

It means 5 minutes past eleven. Minutes always show two digits, so the zero holds the tens place and \(05\) equals 5, not 50.

What is half past in digital time?

Half past is 30 minutes past the hour, because half an hour is 30 minutes. So half past eleven is \(11\!:\!30\).

What does quarter to mean on a digital clock?

Quarter to means 15 minutes before the next hour. Quarter to six is 15 minutes before 6, which shows as \(5\!:\!45\).

How do you say 4:35?

Say the hour first, then the minutes: four thirty-five. You can also say twenty-five minutes to five, because \(4\!:\!35\) is 25 minutes before 5 o'clock.