Time Currency And Conversions
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Lesson notes
Time Conversions
- 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.
- To convert days to hours, multiply by 24 (e.g., 3 days = 72 hours).
- To convert hours to minutes, multiply by 60; minutes to seconds, multiply by 60.
- For reverse conversions, divide by the appropriate factor.
12-Hour and 24-Hour Clocks
- 12-hour clock uses AM (midnight to midday) and PM (midday to midnight).
- 24-hour clock runs from 00:00 (midnight) to 23:59; no AM/PM needed.
- To convert 12-hour PM to 24-hour, add 12 to the hour (e.g., 3:25pm = 15:25).
- 12:00am = 00:00, 12:00pm = 12:00.
- On an analogue clock, the short hand is the hour hand and the long hand is the minute hand; each number represents 5 minutes for the minute hand.
Reading time from an analogue clock
Calculating with Time
- Work in chunks: add minutes to next hour, then whole hours, then remaining minutes.
- When crossing AM/PM, remember that 12:00pm is midday and 12:00am is midnight.
- For time intervals, subtract start from end, using chunking or conversion to minutes.
- Example: 07:35 to 08:14 is 25 min + 14 min = 39 min.
Bus and Train Timetables
- Timetables typically use 24-hour clock; times are four digits without colon.
- Each column represents a different service; times are usually departure times.
- To find journey duration, subtract departure time from arrival time for the same service.
- Example: 0800 at Coronation Street to 0840 at Ramsey Street = 40 minutes.
Bus timetable
Time Zones
- Time zones differ by hours; some locations are ahead, others behind.
- To convert, add or subtract the time difference depending on direction.
- If a location is behind, subtract hours; if ahead, add hours.
- Example: Madrid is 7 hours ahead of Chicago; 17:15 Madrid = 10:15 Chicago.
Exchange Rates
- Exchange rate shows how much one currency is worth in another.
- To convert from currency A to B, multiply amount in A by the rate (A to B).
- To convert from B to A, divide amount in B by the rate (A to B).
- Example: $1 = 0.8626 euros; $650 × 0.8626 = €560.69.
Converting Units of Length, Mass, Capacity
- Length: 1 cm = 10 mm, 1 m = 100 cm, 1 km = 1000 m.
- Mass: 1 g = 1000 mg, 1 kg = 1000 g, 1 tonne = 1000 kg.
- Capacity: 1 litre = 1000 ml, 1 ml = 1 cm³.
- To convert, multiply or divide by powers of 10; e.g., 5.3 km = 5300 m.
Squared and Cubic Units
- For area, square the linear conversion: 1 m² = 100 cm × 100 cm = 10 000 cm².
- For volume, cube the linear conversion: 1 m³ = 100 cm × 100 cm × 100 cm = 1 000 000 cm³.
- 1 cm² = 100 mm², 1 km² = 1 000 000 m².
- 1 cm³ = 1000 mm³, 1 km³ = 1 000 000 000 m³.
Slides
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Practice questions
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1.How many hours are there in 3 days?
Easy- A36 hours
- B48 hours
- C72 hours
- D24 hours
2.Change 5.3 kilometres into metres.
Easy- A530 m
- B5300 m
- C53 m
- D0.53 m
3.Write 3.25 pm in the 24-hour clock.
Easy- A03:25
- B15:25
- C13:25
- D3:25
4.Change 4.6 metres to centimetres.
Easy- A460 cm
- B46 cm
- C0.046 cm
- D4600 cm
5.Change 560 metres into kilometres.
Easy- A5.6 km
- B0.56 km
- C56 km
- D560000 km
6.Change 3670 centimetres to metres.
Easy- A36.7 m
- B367 m
- C3.67 m
- D0.367 m
7.Change 4365 metres into centimetres.
Easy- A43.65 cm
- B436500 cm
- C436.5 cm
- D4.365 cm
8.Change 645 mm into cm.
Easy- A6.45 cm
- B64.5 cm
- C6450 cm
- D0.645 cm
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