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YEAR 3 · MONEY AND PROBLEM SOLVING · 12 MIN

Dollars and cents

Connect dollars, cents and written prices using Australian money.

In this lesson

Before you start
  • Counting in 5s and 10s; place value
01 / LEARN

Understand the idea.

Dollars contain cents

Think of a dollar as a group of 100 cents. To name an amount in cents, count the whole groups of 100 first, then add the extra cents. The value stays the same.

Read the value on every coin before adding. Australian coins are worth 5, 10, 20 or 50 cents, or 1 or 2 dollars. One coin can be worth more than several other coins together.

The same money, written in different ways
Money amountTotal centsPrice in dollars
1 dollar 20 cents1201.20
2 dollars 5 cents2052.05
3 dollars 50 cents3503.50

Read both cents places

A written price has two cents places. In 2.05 dollars, the cents part is 05, meaning five cents. In 2.50 dollars, it is 50, meaning fifty cents. The zero changes which place the five occupies.

Australian notes are worth 5, 10, 20, 50 or 100 dollars. Use each note’s value, just as you do with coins. All prices here are exact, so no cash rounding is needed.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Change cents into dollars and cents

Write 245 cents in dollars and cents.

Worked solution

  1. 1

    Find the whole dollars.

    2×100=200 cents

    Each complete group of 100 cents makes one dollar.

  2. 2

    Find the cents left over.

    245−200=45 cents

    The part outside the two whole dollars is the extra cents.

  3. 3

    Join the two parts.

    245 cents=2 dollars 45 cents

    The dollars and leftover cents together account for all 245 cents.

Answer

2 dollars 45 cents.

EXAMPLE 02

Keep the zero

Write 3 dollars 5 cents as total cents and as a price in dollars.

Worked solution

  1. 1

    Change the dollars into cents.

    3×100=300 cents

    There are 100 cents in each dollar.

  2. 2

    Add the extra five cents.

    300+5=305 cents

    Both parts now use the same unit.

  3. 3

    Write both cents places.

    3 dollars 5 cents=3.05 dollars

    Five cents is written 05 after the point, so it is not confused with 50 cents.

Answer

305 cents; 3.05 dollars.

03 / YOUR TURN

Try it yourself.

Check your understanding

How many cents are in 4 dollars 20 cents?

Show answer & reasoning

420 cents.

Four dollars make 4×100=400 cents. Adding the extra 20 cents gives 400+20=420 cents.

Keep practising

6 worksheet questions

Read the questions online
  1. How many cents equal 1 dollar?
  2. Write 2 dollars 35 cents as total cents.
  3. Write 370 cents in dollars and cents.
  4. Read the price 5.05 dollars in words.
  5. Which is more: 2.50 dollars or 2.05 dollars? Explain.
  6. Name the Australian coin values below 1 dollar.
Read the worked solutions
  1. How many cents equal 1 dollar?

    Use the dollar–cent relationship.

    100 cents.
  2. Write 2 dollars 35 cents as total cents.

    200+35=235.

    235 cents.
  3. Write 370 cents in dollars and cents.

    300 cents are 3 dollars; 70 cents remain.

    3 dollars 70 cents.
  4. Read the price 5.05 dollars in words.

    The two cents places show 05, or 5 cents.

    5 dollars 5 cents.
  5. Which is more: 2.50 dollars or 2.05 dollars? Explain.

    Both have 2 dollars. 50 cents is more than 5 cents.

    2.50 dollars is more.
  6. Name the Australian coin values below 1 dollar.

    The 1-dollar and 2-dollar coins are not below 1 dollar.

    5 cents, 10 cents, 20 cents and 50 cents.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Dollars/cents; equivalent amounts; modelling purchases; needs/wants; class enterprise and others' wellbeing.

Official curriculum source ↗

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