Place value is one of those maths ideas that sounds simple once you understand it.
But for children, it can take time.
A child might be able to count to one hundred. They might recognise lots of numbers. They might even read a number like 42 correctly.
But that does not always mean they understand what the 4 and the 2 actually mean.
That is where place value comes in.
Place value helps children understand that the position of a digit changes its value. In 42, the 4 means 4 tens, not just 4. The 2 means 2 ones.
So 42 is not just a 4 and a 2 sitting next to each other.
It's 40 and 2.
Once children understand that, a lot of maths starts to make more sense.
Quick answer
Place value means the value of a digit depends on where it sits in a number. In 42, the 4 is worth 40 because it's in the tens column. The 2 is worth 2 because it's in the ones column. Place value helps children understand numbers, compare amounts, partition numbers, calculate, estimate and check whether answers make sense.
Why place value matters
Place value is one of the foundations of primary maths.
Children use it all the time, even when the lesson is not called “place value”.
They use it when they:
- read numbers
- write numbers
- compare numbers
- order numbers
- add and subtract
- multiply and divide
- round numbers
- estimate answers
- use money
- measure
- work with decimals later on
If place value is shaky, lots of other maths can feel harder.
For example, a child who does not really understand that 58 is 5 tens and 8 ones may struggle to see why 58 + 10 = 68.
They might count on one by one.
Or they might guess.
But if they understand the tens and ones, they can see that adding ten changes the tens digit, while the ones digit stays the same.
That is a big step.
What place value actually means
Place value means each digit has a value because of its position.
Take the number 326.
The 3 is in the hundreds column, so it's worth 300.
The 2 is in the tens column, so it's worth 20.
The 6 is in the ones column, so it's worth 6.
So 326 means:
300 + 20 + 6
This is why we say:
326 is made of 3 hundreds, 2 tens and 6 ones.
The digits are not all worth the same.
Their place tells us their value.
Digits and numbers are not the same thing
This is a small point, but it's important.
A digit is a single symbol, like:
- 0
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
A number can be made from one digit or several digits.
For example:
7 is a one-digit number.
42 is a two-digit number.
326 is a three-digit number.
Children can sometimes read a number correctly without understanding the value of each digit. They might know that 64 says “sixty-four”, but still not fully understand that the 6 means six tens.
That is why practical place value work matters.
Children need to see, build and talk about numbers, not just read them.
Start with tens and ones
For younger children, place value usually begins with tens and ones.
A good place to start is with objects.
Give children 13 counters.
At first, they may see thirteen separate things.
Then show them that 13 can be grouped as:
1 ten and 3 ones
That might look like one bundle of ten straws and three single straws.
Or one ten stick and three cubes.
Or one full ten frame and three extra counters.
This helps children see that 13 is not just “thirteen things”. It's also 10 and 3.
That matters because it prepares them for calculation.
Use practical resources first
Place value is much easier when children can see it.
Before expecting children to work only with written numbers, it's helpful to use practical resources and visual models.
Useful resources include:
- counters
- cubes
- straws bundled into tens
- base-ten blocks
- place-value counters
- ten frames
- bead strings
- number lines
- place-value charts
For example, to show 24, children could build:
2 tens and 4 ones
Then write:
24 = 20 + 4
That link between the object, the picture and the number is important.
Children need to connect what they can physically see with the written digits.
Use a place-value chart
A place-value chart helps children organise numbers clearly.
For example:
| Tens | Ones |
|---|---|
| 4 | 2 |
This shows that 42 has:
4 tens
2 ones
So the number is:
40 + 2
For hundreds, the chart grows:
| Hundreds | Tens | Ones |
| 3 | 2 | 6 |
This shows:
3 hundreds
2 tens
6 ones
So:
326 = 300 + 20 + 6
A chart is useful because it makes the structure visible.
It helps children see that the same digit can have a different value depending on where it's placed.
Show how the same digit can change value
This is one of the clearest ways to teach place value.
Look at the digit 5 in these numbers:
5
50
500
The digit is the same, but its value changes.
In 5, the digit means 5 ones.
In 50, the digit means 5 tens, which is 50.
In 500, the digit means 5 hundreds, which is 500.
That is place value.
The digit has not changed, but its position has.
This is a really useful idea to return to often. It helps children understand why the columns matter.
Partitioning helps children understand place value
Partitioning means splitting a number into parts.
For place value, this usually means splitting a number into hundreds, tens and ones.
For example:
47 = 40 + 7
83 = 80 + 3
256 = 200 + 50 + 6
This helps children understand what a number is made of.
It also supports mental maths.
For example, if a child understands that 47 is 40 and 7, then 47 + 20 becomes easier.
They can think:
40 + 20 = 60
Then add the 7.
So:
47 + 20 = 67
They are not just following a trick. They are using the structure of the number.
Common place value mistakes
Place value takes time, so mistakes are normal.
Some common mistakes include:
- reading 42 as “four two”
- thinking the 4 in 42 is worth 4 instead of 40
- writing 407 as 47
- mixing up tens and ones
- struggling with zero as a placeholder
- counting on one by one instead of using tens
- finding it hard to compare numbers like 89 and 98
These mistakes are useful.
They show us what the child has not fully understood yet.
For example, if a child writes 407 as 47, they may not understand that the zero is holding the tens place.
That does not mean they are careless. It usually means they need to build and see the number more clearly.
Why zero can be tricky
Zero is one of the trickiest parts of place value.
In a number like 407, the zero matters.
It tells us there's nothing in the tens column.
So 407 means:
4 hundreds, 0 tens and 7 ones
Without the zero, we would have 47, which is a completely different number.
This is why zero is called a placeholder.
It holds a place so the other digits keep their correct value.
Children often need lots of examples of this.
Try comparing:
47 and 407
305 and 35
90 and 9
The zero changes the whole number.
Use money to make place value meaningful
Money can help children see place value in a real-world way.
For example, £24 can be shown as:
two £10 notes and four £1 coins
That matches:
2 tens and 4 ones
You can ask:
“How many tens are in 24?”
“What is the 2 worth?”
“What is the 4 worth?”
This helps children see that the 2 in 24 does not mean £2. It means two tens, or £20.
Money is useful because children can often understand the value difference more clearly.
A £10 note and a £1 coin do not feel the same.
Use place value to compare numbers
Place value helps children compare numbers.
For example, which is bigger?
64 or 46
Some children may see the digits 6 and 4 and get confused.
Place value helps them look at the tens first.
64 has 6 tens.
46 has 4 tens.
So 64 is bigger.
This becomes really useful when children compare larger numbers.
For example:
328 or 382
Both numbers have 3 hundreds, so we look at the tens.
328 has 2 tens.
382 has 8 tens.
So 382 is bigger.
This helps children compare numbers logically instead of guessing.
Place value helps with addition and subtraction
Place value is not just a topic children learn once and leave behind.
It supports calculation.
For example:
34 + 20
If a child understands place value, they can see that 20 means 2 tens.
So they can add two tens to 34.
34 + 20 = 54
The ones have not changed.
For subtraction:
76 - 30
They can take away 3 tens.
76 - 30 = 46
Again, the ones stay the same.
This is much more efficient than counting back one by one.
It also helps children understand what the calculation actually means.
Place value helps children check answers
Place value also helps children spot answers that do not make sense.
For example:
52 + 30 = 55
A child with good place value understanding might notice:
“That can’t be right. Adding 30 means adding 3 tens, so the answer should be in the 80s.”
That is a powerful skill.
It shows the child is not just calculating. They are thinking about the size of numbers.
This kind of checking is important in maths.
Children need to develop a sense of whether an answer is reasonable.
Simple ways to practise place value
Place value practice does not need to be complicated.
Here are some simple activities that work well.
Build the number
Say a number and ask children to build it.
For example:
Show me 35.
They could use base-ten blocks, bundles of straws, counters or drawings.
Then ask:
“How many tens?”
“How many ones?”
“What is the 3 worth?”
“What is the 5 worth?”
This helps children connect the spoken number, the written number and the value of each digit.
Make it, draw it, write it
This is a simple three-step routine.
- Make the number with objects.
- Draw the number as tens and ones.
- Write the number in digits.
For example:
46
Make: 4 tens and 6 ones.
Draw: 4 ten sticks and 6 dots.
Write: 46.
This supports children because they move from concrete objects to drawings to written numbers.
That is a useful bridge.
Partition the number
Give children a number and ask them to split it.
For example:
72
They write:
72 = 70 + 2
Try:
- 35
- 48
- 91
- 126
- 305
- 470
For each one, ask:
“What is each digit worth?”
That question matters.
It stops children treating numbers as just a string of digits.
What to avoid
A few things can make place value harder than it needs to be.
Try to avoid:
- moving too quickly to written numbers only
- assuming a child understands a number because they can read it
- using tricks before children understand the structure
- rushing past tens and ones
- ignoring zero as a placeholder
- giving big numbers before smaller numbers are secure
- making children count everything one by one for too long
Children need time with practical resources, drawings and talk.
Place value is abstract, so they need to see it in different ways.
What adults can say to help
Good questions make a big difference.
Try asking:
- “What is this digit worth?”
- “How many tens can you see?”
- “How many ones?”
- “Can you build that number?”
- “Can you draw it?”
- “Can you partition it?”
- “Which number is bigger? How do you know?”
- “Does that answer make sense?”
These questions help children think about the value of the digits, not just the digits themselves.
That is the heart of place value.
Final thoughts
Place value is one of the most important ideas in primary maths.
It helps children understand what numbers mean, how they are built and how they can be changed.
When children understand place value, they can see that 42 is not just a 4 and a 2. It's 4 tens and 2 ones. They can partition numbers, compare numbers, calculate more efficiently and check whether answers make sense.
That understanding takes time.
Start with objects. Build numbers. Draw them. Talk about tens and ones. Use place-value charts. Ask what each digit is worth.
The aim is not just for children to read numbers correctly. It's for them to understand the structure underneath.
Silly School Education has maths songs and videos designed to support early number understanding, including counting, number bonds, place value and simple calculation. They work best alongside practical resources, visual models and regular chances for children to explain their thinking.
Frequently asked questions
What is place value in simple words?
Place value means the value of a digit depends on where it is in a number. In 42, the 4 means 40 because it's in the tens place, and the 2 means 2 because it's in the ones place.
What is an example of place value?
In 356, the 3 is worth 300, the 5 is worth 50, and the 6 is worth 6. So 356 means 300 + 50 + 6.
Why is place value important?
Place value helps children read, write, compare and calculate with numbers. It also helps them understand what each digit is worth and check whether answers make sense.
What is the difference between tens and ones?
Ones are single units. Tens are groups of ten ones. In 24, there are 2 tens and 4 ones.
Why do children struggle with place value?
Children may struggle because the idea is abstract. A digit can look the same but have a different value depending on where it sits. Practical resources, drawings and place-value charts can help.
How can I help my child understand place value?
Use objects to build numbers, group things into tens and ones, draw place-value pictures, use money, and ask what each digit is worth.