Age 8 guide to three-digit place value

Quick answer

Three-digit numbers are made up of hundreds, tens, and ones. You can break them down to understand how much each digit is worth, and this helps you add, subtract, and compare big numbers.

Learning outcome

By the end of this page, you will be able to:

• Understand that each digit in a three-digit number shows how many hundreds, tens, and ones
• Break down any three-digit number into hundreds, tens, and ones
• Compare three-digit numbers using the value of each digit
• Use this knowledge to solve simple problems with big numbers

Why this matters

Knowing how place value works helps you understand bigger numbers, like how many people are in a stadium or how far you've walked. It's the foundation for adding and subtracting bigger numbers, and it helps you think about money, time, and even how many cookies you can bake!

How it works

Every three-digit number has three places:

1. The hundreds place shows how many groups of 100 are in the number
2. The tens place shows how many groups of 10 are in the number
3. The ones place shows how many single items are left

Let's take the number 347:

• The 3 is in the hundreds place – that means 3 groups of 100, or 300
• The 4 is in the tens place – that means 4 groups of 10, or 40
• The 7 is in the ones place – that means 7 single items

If we add them up: 300 + 40 + 7 = 347

Examples you can see

Let’s look at a few examples together:

Try this: What number is 5 hundreds, 3 tens, and 9 ones?

Answer: 539

You can also think of it like this:

• 5 hundreds = 500
• 3 tens = 30
• 9>
• 500 + 30 + 9 = 539

Try it as a mini adventure

Imagine you are a treasure hunter on a quest to find a hidden chest. The map says the chest is buried at a number that is 3 hundreds, 4 tens, and 2 ones. What number do you need to dig at?

1. 3 hundreds = ?
2. 4 tens = ?
3. 2>
4. Add them up: ? + ? + ? = ?

Answer: 300 + 40 + 2 = 342

You dig at number 342 and find the treasure!

Common mistakes

• Mistake: Thinking 200 + 30 + 5 = 235, but writing it as 253
• Why it happens: Confusing the order of hundreds, tens, and ones
• Fix: Always say the hundreds first, then tens, then ones

• Mistake: Counting 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000 as 10 numbers instead of 10 groups of 100
• Why it happens: Not understanding that 100 is one group of 100
• Fix: Use blocks or drawings to show 10 groups of 100

• Mistake: Seeing 0 in the tens place and thinking it means nothing
• Why it happens: Not understanding that 0 still holds a place
• Fix: Explain that 0 in the tens place means no tens, but the number still has hundreds and ones

Parent and carer guide

Help your child by:

• Using everyday objects like coins or blocks to show hundreds, tens, and ones
• Practising with number cards or writing numbers on sticky notes
• Playing a game where you say a number and they break it down
• Reading stories with big numbers and asking what each digit means
• Noticing numbers in the real world: house numbers, clocks, prices, pages in books

Encourage them to explain their thinking, not just give answers. For example, ask: “Why do you think 456 is more than 398?”

Don’t worry if they make mistakes – they’re learning!

Practice questions

1. Break down the number 672 into hundreds, tens, and ones.
2. What number is 1 hundred, 8 tens, and 5 ones?
3. Which number is bigger: 426 or 462? Explain why.
4. Write the number that has 3 hundreds, 0 tens, and 9 ones.
5. What is 500 + 40 + 7?

Answers:

1. 6 hundreds, 7 tens, 2 ones
2. 185
3. 462 is bigger because 6 tens is more than 2 tens
4. 309
5. 547

FAQ

What is the place value of each digit in 583?

In 583:

• 5 is in the hundreds place = 500
• 8 is in the tens place = 80
• 3 is in the ones place = 3

Why do we need to know place value?

Place value helps us understand how big numbers work, so we can add, subtract, and compare them. It's also useful for money, time, and counting things in groups.

How can I help my child practice at home?

Use everyday numbers like house numbers, prices, or the time. Ask your child to break them down. You can also play games like “Guess the number” where you give clues about hundreds, tens, and ones.

What comes after 999?

After 999 comes 1000. That’s one group of 1000, or 10 groups of 100.

Can a number have 0 in the hundreds place?

No, a number can’t start with 0. For example, 045 is not a three-digit number – it's 45. The hundreds place must be 1 or more.