Understand the idea.
Dollars contain cents
Think of a dollar as a group of cents. To name an amount in cents, count the whole groups of first, then add the extra cents. The value stays the same.
Read the value on every coin before adding. Australian coins are worth , , or cents, or or dollars. One coin can be worth more than several other coins together.
| Money amount | Total cents | Price in dollars |
|---|---|---|
| 1 dollar 20 cents | 120 | 1.20 |
| 2 dollars 5 cents | 205 | 2.05 |
| 3 dollars 50 cents | 350 | 3.50 |
Read both cents places
A written price has two cents places. In dollars, the cents part is , meaning five cents. In dollars, it is , meaning fifty cents. The zero changes which place the five occupies.
Australian notes are worth , , , or dollars. Use each note’s value, just as you do with coins. All prices here are exact, so no cash rounding is needed.
See the method in action.
Change cents into dollars and cents
Write 245 cents in dollars and cents.
Worked solution
- 1
Find the whole dollars.
Each complete group of 100 cents makes one dollar.
- 2
Find the cents left over.
The part outside the two whole dollars is the extra cents.
- 3
Join the two parts.
The dollars and leftover cents together account for all 245 cents.
2 dollars 45 cents.
Keep the zero
Write 3 dollars 5 cents as total cents and as a price in dollars.
Worked solution
- 1
Change the dollars into cents.
There are 100 cents in each dollar.
- 2
Add the extra five cents.
Both parts now use the same unit.
- 3
Write both cents places.
Five cents is written 05 after the point, so it is not confused with 50 cents.
305 cents; 3.05 dollars.
Try it yourself.
Check your understanding
How many cents are in 4 dollars 20 cents?
Show answer & reasoning
420 cents.
Four dollars make cents. Adding the extra cents gives cents.
Keep practising
6 worksheet questions
Read the questions online
- How many cents equal 1 dollar?
- Write 2 dollars 35 cents as total cents.
- Write 370 cents in dollars and cents.
- Read the price 5.05 dollars in words.
- Which is more: 2.50 dollars or 2.05 dollars? Explain.
- Name the Australian coin values below 1 dollar.
Read the worked solutions
- How many cents equal 1 dollar?
Use the dollar–cent relationship.
100 cents. - Write 2 dollars 35 cents as total cents.
.
235 cents. - Write 370 cents in dollars and cents.
300 cents are 3 dollars; 70 cents remain.
3 dollars 70 cents. - Read the price 5.05 dollars in words.
The two cents places show 05, or 5 cents.
5 dollars 5 cents. - 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. - 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.
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 ↗