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Converting time units

Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days)

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What a learner can do afterwards

  • Convert 3 hours 25 minutes to 205 minutes
  • A programme lasts 150 seconds — express in minutes and seconds
  • How many days are in 8 weeks and 3 days?

1 · Read

You already know how to change centimeters into meters and grams into kilograms. Time units work the same way. Each unit breaks into a fixed number of smaller units: 60 seconds make 1 minute, 60 minutes make 1 hour, 7 days make 1 week, and 12 months make 1 year.

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The short hand shows hours and the long hand shows minutes. This clock has moved 3 hours and 25 minutes, which you can turn into one number of minutes.
Try it together

To convert 3 hours 25 minutes into minutes, first turn the hours into minutes: 3 hours × 60 = 180 minutes. Then add the leftover 25 minutes: 180 + 25 = 205 minutes in total.

Try it together

To go the other way, change seconds into minutes. 150 seconds has two full 60s inside it: 150 ÷ 60 = 2, with 30 left over. That means 150 seconds is 2 minutes and 30 seconds.

0601201 min2 min+30 sec
Good to know

The same idea works for weeks and days. For 8 weeks and 3 days, multiply the weeks first: 8 × 7 = 56 days, then add the 3 extra days: 56 + 3 = 59 days. Multiply to reach smaller units, then add any leftovers.

Multiply to change a bigger time unit into a smaller one, divide to change a smaller unit into a bigger one, and always deal with the leftovers separately.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Converting time units · Mathematics, ages 9 to 10 · LightMySky