Understand the idea.
A digit has a job
A digit is a symbol; its value depends on its place. In , the digit is worth because it counts tens. Add the values of all three digits to rebuild the number.
Build the whole
Keep hundreds, tens and ones in separate columns when you build a number. A bundle of ten ones is one ten, and ten tens make one hundred. These equal bundles explain why each place is worth ten times the place on its right.
| Hundreds | Tens | Ones |
|---|---|---|
| 2 | 4 | 7 |
See the method in action.
Read a build
What number is 2 hundreds, 4 tens and 7 ones?
Worked solution
- 1
Find the values of the bundles.
A hundred contains one hundred ones; a ten contains ten ones.
- 2
Join the hundreds, tens and ones.
The three place values together give the whole collection.
247
Find a digit value
What is the value of the digit 6 in 864?
Worked solution
- 1
Locate the digit in the number.
The is in the tens place, between hundreds and ones.
- 2
Count six tens.
The question asks for the digit’s value, so the answer is , not .
60
Try it yourself.
Check your understanding
Build a number with 5 hundreds, 2 tens and 3 ones.
Show answer & reasoning
523
Five hundreds contribute , two tens contribute and three ones contribute . Together, .
Keep practising
6 worksheet questions
Read the questions online
- What number is 3 hundreds, 1 ten and 8 ones?
- Split 476 into hundreds, tens and ones.
- What is the value of 9 in 592?
- Write as one number.
- What number is 10 more than 345?
- A number has 6 hundreds, 3 ones and 2 tens. What is it?
Read the worked solutions
- What number is 3 hundreds, 1 ten and 8 ones?
.
318 - Split 476 into hundreds, tens and ones.
.
4 hundreds, 7 tens and 6 ones. - What is the value of 9 in 592?
The 9 is in the tens place.
90 - Write as one number.
There are 8 hundreds, 2 tens and 1 one.
821 - What number is 10 more than 345?
Add one ten: 4 tens become 5 tens.
355 - A number has 6 hundreds, 3 ones and 2 tens. What is it?
Place the groups in hundreds, tens, ones order: .
623
Curriculum reference & lesson scope
Australian Curriculum v9 and SA Curriculum Mathematics
Reading/ordering numbers; hundreds/tens/ones; zero; regrouping and renaming.
Official curriculum source ↗