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Time Currency And Conversions

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课程笔记

Time Conversions

  • Time uses non-decimal units: 60 seconds = 1 minute, 60 minutes = 1 hour, 24 hours = 1 day.
  • Know days in each month: e.g., 28/29 Feb, 30 Apr/Jun/Sep/Nov, 31 Jan/Mar/May/Jul/Aug/Oct/Dec.
  • To convert hours to minutes, multiply by 60; minutes to hours, divide by 60.
  • When calculating time intervals, work in chunks: minutes to next hour, then whole hours, then remaining minutes.
  • For journeys crossing midnight, add hours from start to midnight plus hours from midnight to end.

12-Hour and 24-Hour Clocks

  • 12-hour clock uses AM (midnight to midday) and PM (midday to midnight).
  • 24-hour clock uses four digits: first two for hours (00-23), last two for minutes (00-59).
  • Convert 12-hour to 24-hour: for PM (except 12pm) add 12; for AM 12am = 00:00.
  • Convert 24-hour to 12-hour: subtract 12 from hours 13-23 and add PM; 00:00 = 12am, 12:00 = 12pm.
  • Analogue clock: short hand = hours, long hand = minutes (each number = 5 minutes).

Reading time from an analogue clock

Reading time from an analogue clock

Calculating with Time

  • Add time in chunks: add hours first, then minutes, adjusting if minutes exceed 60.
  • Subtract time by counting minutes to next hour, then hours, then remaining minutes.
  • For journeys starting and ending on same day, simply subtract start from end times.
  • For overnight journeys, calculate time from start to midnight plus time from midnight to end.
  • Use a calculator's ° ' '' button to enter time; 1 hour 30 min = 1.5 decimal hours.

Bus and Train Timetables

  • Timetables usually use 24-hour clock without colon (e.g., 0750 for 07:50).
  • Each column represents one service; times are departure times except last row (arrival).
  • Journey time = difference between departure at start and departure/arrival at end for same service.
  • Read across the row for a given service to find times at different stops.

Bus timetable

Bus timetableBus ABus BBus CCoronation Street075008000816Albert Square081808300849Ramsey Street082508400903Emmerdale Village083408520918

Time Zones

  • Time zones differ by hours; some locations are ahead, others behind a reference (e.g., GMT).
  • To convert to a time zone behind, subtract the time difference; to one ahead, add.
  • When calculating flight times, work in departure local time then adjust to arrival local time.
  • Example: Madrid is 7 hours ahead of Chicago; a 9h45m flight from Madrid at 7:30am arrives Chicago at 10:15am local.

Money Calculations

  • Common currencies: US Dollar ($), Pound (£), Euro (€).
  • Keywords: 'total' means add, 'difference' means subtract, 'change' may involve exchange rates.
  • Round final answers to 2 decimal places for dollars, pounds, euros (e.g., $1.40 not $1.4).
  • For large amounts, round to nearest pound, ten pounds, or hundred as appropriate.
  • Use all decimal places given in working; round only final answer.

Exchange Rates

  • Exchange rate shows value of one currency in another (e.g., £1 = €1.17).
  • To convert from base currency to other, multiply by the exchange rate.
  • To convert from other currency to base, divide by the exchange rate.
  • If unsure whether to multiply or divide, check if result should be larger or smaller than original.
  • When converting via a third currency, convert to intermediate then to target.

Comparing Costs Across Currencies

  • Convert all prices to same currency using given exchange rates.
  • Compare converted values to determine which is cheaper or better value.
  • For best value, calculate cost per unit (e.g., per litre, per kg) in a common currency.
  • Round final comparison appropriately (e.g., nearest cent, nearest rupee).

幻灯片

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练习题

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  1. 1.Aimee changes 250 euros into dollars. The exchange rate is 1 euro = $1.10. How many dollars does she receive?

    Easy
    • A$275
    • B$227.27
    • C$260
    • D$250
  2. 2.A train journey takes 5 hours 54 minutes. The journey starts at 09 15. What time does the journey end?

    Easy
    • A15 09
    • B14 09
    • C15 19
    • D14 19
  3. 3.A train leaves Zurich at 22 40 and arrives in Vienna at 07 32 the next day. How long does the journey take?

    Medium
    • A8 h 52 min
    • B9 h 08 min
    • C8 h 48 min
    • D9 h 52 min
  4. 4.Jodi swims 22 lengths of a swimming pool to raise money for charity. She receives $15 for each length she swims. How much money does Jodi raise?

    Easy
    • A$330
    • B$37
    • C$3300
    • D$220
  5. 5.Carlos starts work at 21 20 and finishes at 06 15 the next day. How long is Carlos at work?

    Medium
    • A8 h 55 min
    • B9 h 05 min
    • C8 h 45 min
    • D9 h 55 min
  6. 6.Linda wants to change up to £200 into koruna. The exchange rate is £1 = 25.82 koruna. She can only get 100 koruna notes and wants as many as possible. How many 100 koruna notes should she get?

    Medium
    • A51
    • B52
    • C50
    • D53
  7. 7.One morning, Marcia works from 08 20 to 11 15. How long does she work for? Give your answer in hours and minutes.

    Easy
    • A2 h 55 min
    • B3 h 05 min
    • C2 h 45 min
    • D3 h 15 min
  8. 8.Convert 0.17 m² into cm².

    Easy
    • A1700 cm²
    • B17 cm²
    • C170 cm²
    • D0.0017 cm²

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