Seconds to Centuries: How Units of Time Fit Together

What this lesson covers

  • 60 seconds make a minute, and a quarter of an hour is 15 minutes.
  • 24 hours make a day, and 7 days make a week.
  • A year has 52 weeks and 365 days, or 366 days in a leap year, which comes every 4 years.
  • A decade is 10 years, a century is 100 years and a millennium is 1,000 years.
Key idea

Seconds, minutes and hours

  • An hour is 60 minutes.
  • A quarter of an hour is 60 ÷ 4 = 15 minutes.
ThisIs the same as
1 minute60 seconds
1 hour60 minutes
a quarter of an hour15 minutes
half an hour30 minutes
1 day24 hours
Key idea

Days, weeks and months

  • A week has 7 days.
  • A month is about 4 weeks long.
  • Months have different numbers of days: 28, 29, 30 or 31.
MonthDays
January31
February28, or 29 in a leap year
March31
April30
May31
June30
July31
August31
September30
October31
November30
December31
Key idea

Try it: how many days?

Key idea

A year and a leap year

  • A year has 12 months, 52 weeks and 365 days.
  • 52 weeks is 364 days, so a year is 52 weeks and 1 day.
  • Every 4 years there is a leap year with 366 days. The extra day is 29 February.
  • 2024 and 2028 are leap years.
Key idea

Decades, centuries and millennia

  • Long stretches of time use bigger units.
  • A big kauri tree can live for many centuries.
UnitYears
1 decade10 years
1 century100 years
1 millennium1,000 years
Worked example

Working it out

  • Add the same amount again for each unit.
QuestionThinkAnswer
Minutes in 2 hours60 + 60120 minutes
Seconds in 2 minutes60 + 60120 seconds
Days in 3 weeks7 + 7 + 721 days
Minutes in three quarters of an hour15 + 15 + 1545 minutes
Years in 3 decades10 + 10 + 1030 years
Key idea

Try it: match the numbers

Common mistakes

  • There are 100 seconds in a minute.
    There are 60 seconds in a minute.
  • A quarter of an hour is 25 minutes, like a quarter of 100.
    An hour is 60 minutes, so a quarter of an hour is 15 minutes.
  • Every month has 30 days.
    Months have 28 to 31 days. February has 28, or 29 in a leap year.
  • A century is 10 years.
    A decade is 10 years. A century is 100 years.

Your turn

1

How many hours are in a day?

2

How many minutes are in a quarter of an hour?

3

How many days are in a leap year?

4

How many years are in 2 centuries?

5

How many days are in 2 weeks?

Show answer

1. 24 2. 15 3. 366 4. 200 (100 + 100) 5. 14 (7 + 7)

Summary

What to take away

  • 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day.
  • 7 days in a week, 52 weeks and 365 days in a year, 366 in a leap year.
  • 10 years in a decade, 100 in a century, 1,000 in a millennium.
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