Place value is the foundation of our entire number system, and understanding it makes everything else in maths click into place. When children grasp that the position of a digit changes its value, they’re not just learning a concept – they’re building the mental framework for addition, subtraction, multiplication, division, and eventually working with decimals and fractions.
In the UK National Curriculum, place value is introduced in Year 1 and continues to develop through KS2, becoming more sophisticated each year. Teachers know it’s the difference between children who can follow procedures and children who genuinely understand numbers. Parents often notice that when place value makes sense, homework battles decrease because maths starts feeling logical rather than mysterious.
LearningMole provides curriculum-aligned video resources and teaching materials that bring place value to life for primary-aged children. Our videos use visual demonstrations and real-world examples that help children see why the ‘5’ in 52 means something completely different from the ‘5’ in 25.
Place value is where children either build confidence in maths or start to feel lost. The good news is that with the right visual support and enough time with concrete materials, every child can develop this understanding securely,” explains Michelle Connolly, Founder of LearningMole and former teacher with over 15 years of classroom experience.
Place value means that a digit’s position within a number determines its value. Our number system is based on groups of ten, so each time you move one position to the left, the value is multiplied by 10. Move one position to the right, and the value becomes ten times smaller.
Think about the number 333. All three digits look identical, yet they represent 300, 330, and 3. The first ‘3’ sits in the hundreds column, making it worth 300. The middle ‘3’ sits in the tens column, making it worth 30. The final ‘3’ sits in the ones column, making it worth just 3. Same digit, three different values, entirely because of position.
Children need to understand two separate ideas here: what a digit is, and what a digit is worth. A digit is simply the symbol we write – 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. The value is what that digit represents based on where it sits. When your Year 3 child writes 425, they need to recognise that the ‘4’ doesn’t mean 4 – it means 400 because it’s in the hundreds position.
Parents who attended school before 2010 likely learned “hundreds, tens, units” or HTU. Walk into any UK primary classroom today, and you’ll hear “hundreds, tens, ones” or HTO instead. This isn’t teachers being difficult – it’s actually a helpful change.
The word “units” can be confusing because we also use it for measurements: centimetres are units of length, and grams are units of mass. Using “ones” is clearer because it describes exactly what’s in that column: individual ones. When you help with homework, using the term “ones” rather than “units” means you’re speaking the same mathematical language your child hears at school.
The UK National Curriculum introduces place value gradually, building from simple concepts in Reception to complex work with millions and decimals by Year 6. Teachers carefully scaffold this learning, ensuring children have a concrete understanding before moving to abstract work.
In Reception, children start noticing that ten ones can be grouped together to make one ten. They might use blocks or counters, physically collecting ten individual items and exchanging them for a stick of ten. This concrete experience lays the groundwork for understanding that numbers can be partitioned (broken apart) and recombined.
Year 1 children work with numbers up to 100, focusing on tens and ones. They learn that 34 means 3 tens and 4 ones. Teachers use base-ten blocks (sometimes called Dienes blocks) where children can see and touch what tens and ones look like. A Year 1 child might have 3 long blocks (representing 30) and 4 small cubes (representing 4) and learn that this makes 34.
Partitioning becomes important: 47 is the same as 40 and 7, or 30 and 17, or 20 and 27. Children who can break numbers apart and put them back together in different ways develop number flexibility that serves them throughout primary school.
Year 2 extends to numbers up to 100, deepening understanding of tens and ones. Children start comparing two-digit numbers, learning that 67 is bigger than 59 because 67 has 6 tens, whilst 59 only has 5 tens. They use place value charts to organise their thinking and might use place value counters – coloured discs marked with 10 or 1.
Year 3 introduces hundreds, working with numbers up to 1,000. This is a significant step. Children now need to grasp that 10 tens make 100, just like 10 ones make 10. A flat square representing 100 becomes a familiar sight in classrooms, alongside the long blocks for tens and small cubes for ones.
Three-digit numbers need more careful thinking. When looking at 357, children learn to identify that the ‘3’ represents 300, the ‘5’ represents 50, and the ‘7’ represents 7 ones. Teachers ask questions like “What is the value of the digit 5 in this number?” to check understanding. Many children at this stage can read and write numbers, but might struggle to explain what each digit means.
Year 4 children work with numbers up to 10,000, adding the thousands column. Four-digit numbers require concentration: in 4,652, the ‘4’ represents 4,000. Teachers often use arrow cards to show how 4,000 + 600 + 50 + 2 equals 4,652.
Decimal numbers appear in Year 4, starting with tenths. Children discover that moving right makes digits ten times smaller. The decimal point marks the end of whole numbers. Understanding that 0.3 means 3 tenths requires solid place value knowledge.
Year 5 extends to 1,000,000. Children work with decimal numbers to two places (hundredths), understanding that 0.47 means 4 tenths and 7 hundredths. This is when place value connects clearly to calculations: multiplying by 10 means everything shifts one place left (23 becomes 230), and dividing by 10 shifts right (230 becomes 23).
Year 6 children work with numbers up to 10,000,000, though really the focus is on understanding the system rather than memorising massive numbers. They work confidently with decimal numbers to three decimal places (thousandths), understanding that 0.456 means 4 tenths, 5 hundredths, and 6 thousandths.
By the end of Year 6, children should be able to:
Zero is the trickiest part of place value, and it’s where many children hit problems. When writing one hundred and five, some children write 15 or 105, missing that a zero is needed to hold the tens place when there aren’t any tens.
Zero as a placeholder means “there’s nothing in this column, but we need to show the column exists.” In 305, the zero tells us there are no tens – we have 3 hundreds and 5 ones, with the tens column empty. Without that zero, we’d have 35, which is completely different.
Children need explicit teaching about placeholder zeros. They benefit from seeing numbers with missing zeros and spotting what’s wrong: “John wrote ‘three hundred and four’ as 34. What did he forget?” This type of question makes the zero’s job visible.
Decimal numbers bring another zero challenge. In 0.3, the zero before the decimal point indicates “no whole number.” Some children write .3 instead, which isn’t technically wrong in maths, but can cause confusion. Teaching children to always write the zero before a decimal point creates good habits.
Working with money helps because children understand that £3.05 (three pounds and five pence) is different from £3.50 (three pounds and fifty pence). That zero after the decimal point in £3.05 is doing a job – it’s holding the tens of pence place when there aren’t any tens of pence.
Teachers use physical and visual tools to make place value concrete before asking children to work abstractly with numbers. These manipulatives give children something to see and touch whilst the abstract concept develops in their minds.
These wooden or plastic blocks come in four types: small cubes (ones), long blocks (tens), flat squares (hundreds), and large cubes (thousands). Children can physically build numbers: 247 would be 2 flat squares, 4 long blocks, and 7 small cubes.
The power of base-ten blocks is that children see the relationships. Ten ones genuinely do line up alongside one ten block. Ten ten-blocks genuinely do cover one hundred square blocks. This concrete proof helps children trust what teachers are saying about how the number system works.
These coloured counters have numbers printed on them – typically yellow for 1, blue for 10, red for 100, and green for 1,000. Unlike base-ten blocks, these don’t show size relationships (a 100 counter isn’t bigger than a 10 counter), but they’re clearer for larger numbers and easier to manage in the classroom.
Children use these to represent numbers on place value charts, moving counters between columns when they’re adding or subtracting. The physical action of exchanging 10 ones for 1 ten makes regrouping (carrying and borrowing in old money) make sense.
A place-value chart is simply a grid with columns labelled thousands, hundreds, tens, ones, and (for decimals) tenths, hundredths, and thousandths. Children write one digit in each column or place counters in the columns.
These charts help children organise their thinking. When writing 4,307 on a chart, children put 4 in the thousands column, 3 in the hundreds column, 0 in the tens column, and 7 in the ones column. That visual layout makes it harder to miss the zero.
Arrow cards are cards that overlap to show how numbers partition. For 436, you’d have three cards: one showing 400, one showing 30, and one showing 6. When you slide them together, they overlap to show 436. This tool beautifully demonstrates that numbers are made of parts and that 436 is just a short way of writing 400 + 30 + 6.
“Manipulatives aren’t just for children who find maths difficult – they’re for all children whilst concepts are being built. Even high-attaining Year 6 pupils benefit from using counters when they first meet decimals,” notes Michelle Connolly.
Teachers use specific approaches to help place value understanding develop securely. If you’re a parent supporting learning at home or a teacher looking for fresh ideas, these strategies align with how UK schools approach the topic.
Don’t rush to abstract numbers. Let children group objects into tens, bundle straws, or collect blocks. Making ten ones and exchanging them for one ten should feel real, not theoretical. The more times children physically handle this exchange, the deeper their understanding grows.
Use money if you have it. Exchanging ten 1p coins for one 10p coin makes sense to children. It’s also something they might encounter in real life, which helps mathematics feel connected to the world beyond the classroom.
Pick one way of showing place value and stick with it for several lessons. If you’re using base-ten blocks, use them every time for a while. If you’re using place value charts, use them consistently. Children need repeated experiences with the same model before the abstract understanding clicks.
When moving between models, do it explicitly. Show children that a number can be represented with blocks, with counters, on a chart, or just as digits. Each representation shows the same thing, and seeing the connections helps.
Ask questions that distinguish between the digit and its value: “What digit is in the tens column?” gets one answer. “What is the value of that digit?” gets a different answer. For 452, the digit in the tens column is 5, but the value of that digit is 50.
This sounds picky, but it’s important. Children who blur digits and values struggle later with decimals. If they can’t distinguish between “the digit 3” and “the value 30,” they’ll find 0.3 (value three-tenths) confusing.
Show children that 67 isn’t just 60 + 7. It’s also 50 + 17, or 40 + 27, or 65 + 2. This flexibility is powerful. When children can break numbers apart in creative ways, they develop number sense that makes mental calculations easier.
Partitioning games work well: “I’m thinking of a number. It’s 50 + something. The total is 83. What’s the something?” These puzzles get children thinking about how numbers are composed.
Show children why the standard written methods work by linking them to place value. When you’re adding 45 + 37, you’re really adding 40 + 30 (tens) and 5 + 7 (ones). The column method just organises this place value work.
When regrouping happens (carrying or exchanging), explain it using place-value language: “We made ten ones, so we exchange them for one ten and move it to the tens column.” This is so much clearer than “carry the one.”
Parents can support place value development without needing special resources or mathematical expertise. Simple activities using everyday items make a real difference.
Collect items that come in natural groups: egg boxes, pairs of socks, LEGO blocks. Count them in groups. “We have 3 egg boxes. Each box holds 10 eggs. That’s 30 eggs altogether.” This repeated experience of grouping in tens builds the foundation.
Play shops with real pennies and 10p coins. “You’re buying something that costs 37p. That’s 3 ten-pence coins and 7 pennies.” Handle the coins, count them out, and exchange ten pennies for one 10p when you have enough.
Write digits 0-9 on pieces of paper. Draw three cards. Can you make the biggest possible number? The smallest? A number close to 500? This game makes children think about the importance of position.
Extend it: “You’ve got 4, 2, and 7. Make the biggest number you can. Now add a decimal point – make a decimal number close to 5.”
When you see numbers in the world – house numbers, prices, distances on signs – read them aloud with proper place value language. Don’t say “four-two-five” for 425. Say “four hundred and twenty-five.” This repetition helps children connect written digits to spoken number names.
For decimals, say “three point seven” or “three and seven tenths” for 3.7, not “three point seventy.” The language matters because it reflects the mathematics.
When numbers appear naturally (page numbers, scores in games, dates), ask questions: “What’s the value of the 3 in 235?” or “Which digit tells us how many tens we have?” These quick, casual questions build thinking habits.
With money, ask: “We need £4.50. How many pound coins is that? How many ten-pence coins would make the 50p bit?” These practical questions make place value real.
LearningMole’s video resources show place value concepts visually, which is particularly helpful at home where you might not have base-ten blocks or place value charts. Children can watch numbers being built, see columns being filled, and hear explanations that match what they’re learning in school.
Our maths videos align with UK National Curriculum expectations for each year group, so you know the content matches what your child should be learning. Parents find video resources helpful because children can pause, rewatch sections, and work at their own pace.
Most children hit predictable stumbling blocks with place value. Knowing what these are helps teachers and parents spot problems early and correct them before they become ingrained.
Many children think zero is just empty space or “nothing to write.” They might write 405 as 45, thinking the zero doesn’t matter. This needs direct attention.
Show children that zero does a job – it’s a placeholder. Write numbers with and without their zeros: 305 vs 35, 4.05 vs 4.5. Talk about how different those numbers are. Use money examples: £3.05 is very different from £3.50.
Some children think 91 is smaller than 802 because 9 is bigger than 8. They’re looking at individual digits rather than the whole number. They need help seeing that position matters more than digit size.
Use place value language: “Which number has more hundreds? Which has more tens?” This refocuses attention on position. Place value charts help here because children can see that 802 has 8 hundreds whilst 91 has no hundreds at all.
After learning that moving left makes numbers bigger, some children think the pattern continues past the decimal point. They might think 0.3 is bigger than 0.29 because 3 is bigger than 29.
You need to explicitly teach that the decimal point is the centre. Numbers to the left get bigger going left (ones, tens, hundreds). Numbers to the right get smaller going right (tenths, hundredths, thousandths). Visual place value charts with the decimal point clearly marked help.
Some children refuse to write numbers like 0.7, thinking “numbers can’t start with zero.” This comes from learning that we don’t write 07 for seven.
Explain that zero can be the first digit when it’s showing “no whole numbers.” In 0.7, the zero says “this is less than one.” It’s giving information. Practise writing decimal numbers less than one, always including that zero before the decimal point.
Children sometimes treat 4.36 as “four and thirty-six,” not understanding that the decimal point doesn’t separate two whole numbers. They need to see that .36 means 3 tenths and 6 hundredths, not thirty-six of anything.
Reading decimals carefully helps: “four point three six” or “four and thirty-six hundredths.” Count in decimals: 4.31, 4.32, 4.33, 4.34 to show how they sequence. Place value charts showing the tenths and hundredths columns separately make the structure visible.
Understanding place value transforms how children approach calculations. When place value makes sense, mental strategies become accessible and written methods make logical sense.
This is pure place value. When you multiply by 10, each digit moves one place to the left. When you divide by 10, every digit moves one place right. Children who understand place value can do these calculations mentally. They know that 47 × 10 means moving the digits one place to the left to get 470, not just “adding a zero.”
The decimal point appears to move, but really the digits move around the fixed point. For 3.5 × 10, the digits shift left, and the 5 moves into the ones column, giving 35.
Place-value thinking supports mental calculations. To work out 67 + 35, children partition: 60 + 30 = 90, and 7 + 5 = 12, then 90 + 12 = 102. Breaking numbers by place value makes mental work manageable.
The written column methods are organised by place value. When you line up 456 + 378 in columns, you’re aligning tens with tens and ones with ones. Regrouping makes sense with place value understanding: when adding the ones gives you 14, that’s 1 ten and 4 ones. You write the 4 in the ones column and move the 1 ten where it belongs.
LearningMole provides curriculum-aligned teaching resources that support place value learning across KS1 and KS2. Our video resources use visual demonstrations, animations, and clear explanations that bring place value concepts to life for children aged 5-11.
Teachers find our resources helpful for whole-class teaching, small-group intervention, and differentiated support for children working at different levels. The videos show place value charts being filled, base-ten blocks being manipulated, and numbers being partitioned – all the concrete-pictorial-abstract progression that helps understanding develop.
Parents use LearningMole videos to support homework or extend classroom learning at home. Because the content aligns with UK National Curriculum expectations, parents know they’re reinforcing what school is teaching rather than introducing different methods that might confuse.
“Video resources are particularly effective for place value because children can see the movements – digits shifting between columns, counters being exchanged, numbers being built visually. These animations make abstract ideas concrete in ways that static worksheets simply can’t match,” explains Michelle Connolly.
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With over 3,300 educational resources aligned to UK National Curriculum standards, LearningMole supports teachers and parents in making maths accessible, engaging, and properly understood. Visit LearningMole to explore our complete range of primary maths resources and educational videos.
Teachers need to check whether children genuinely understand place value or just follow procedures. Key diagnostic questions include:
Practical assessment activities work well: give children arrow cards to make numbers, place value charts with counters to show specific values, or digit cards to make the biggest/smallest possible numbers.
SATs-style questions test application: “Tick the number that is 100 more than 4,567” or “Write the missing number: 3.4 = ___ tenths” (answer: 34). These reveal whether children can apply understanding in different contexts.
Place value is the scaffolding holding up everything else in primary mathematics. Children who understand it find calculations logical, can work mentally with numbers, understand why written methods work, and arrive at secondary school ready for algebra.
Children without this foundation struggle throughout maths, relying on memory and following steps without understanding why. When they meet new situations, they lack the conceptual tools to think through problems.
Place value can be taught well using concrete materials, visual models, and time for understanding to develop. Teachers who build place value carefully set children up for mathematical confidence. Parents can support by grouping items into tens, discussing digit values when numbers appear naturally, and using LearningMole resources for visual explanations that help concepts click.
LearningMole’s teaching resources and educational videos support this development with visual demonstrations, clear explanations, and curriculum-aligned content. Explore our resources to see how video learning can support children’s understanding of place value.
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