X Tables
Maths Adventures

Fairground maths quest: place value

A story-led junior maths adventure using rides, tickets and chance games to decode big numbers by hundreds, tens and ones.

Quick answer

By the end of this page, you will understand how to break big numbers into hundreds, tens, and ones – just like decoding the mystery of a fairground ticket machine!

Learning outcome

By the end of this page, you will be able to split any number into hundreds, tens, and ones, and use this to understand how big numbers work – like a fairground maths detective! Success signs:
  • You can show a number like 347 as 3 hundreds, 4 tens, and 7 ones
  • You can build numbers using base-10 blocks or drawings
  • You can solve a fairground challenge like "How many tickets are needed for 3 rides and 4 games?"
  • You can compare big numbers using place value

Why this matters

Understanding place value helps you work with bigger numbers in real life – like counting your pocket money, reading prices, or even solving puzzles at the fairground. It’s like having a secret code that unlocks how numbers really work. Whether you’re buying tickets, sharing treats, or counting rides, place value helps you understand what each digit means.

How it works

Place value means each digit in a number has a special job based on where it sits. Let’s imagine you are at a fairground with a ticket machine that counts your tickets in hundreds, tens, and ones. 1. Start with the ones place – This is the rightmost digit. It shows how many single items you have. 2. Then the tens place – This is the next digit to the left. It shows how many groups of ten you have. 3. Then the hundreds place – This is the leftmost digit. It shows how many groups of one hundred you have. Think of it like this: - 1 ticket = 1 one - 10 tickets = 1 ten - 100 tickets = 1 hundred

Examples you can see

Let’s imagine you are at the fairground and have 245 tickets. How can you break this down?
  • 2 hundreds – That’s 200 tickets (2 groups of 100)
  • 4 tens – That’s 40 tickets (4 groups of 10)
  • 5 ones – That’s 5 tickets (5 single tickets)
So, 245 = 2 hundreds + 4 tens + 5 ones Try this drawing: Draw 2 big squares (each square = 100 tickets), 4 rectangles (each rectangle = 10 tickets), and 5 small circles (each circle = 1 ticket). You’ll see how 245 looks like a fairground ticket puzzle!

Try it as a mini adventure

Adventure: The Fairground Ticket Challenge You are on a fun day at the fairground and need to solve a mystery to win a prize. Here’s your mission: 1st time: You see a ticket machine that shows 132. How many hundreds, tens, and ones are there? 2nd time: You collect 246 tickets from different rides. How many hundreds, tens, and ones? 3rd time: You find a ticket with 500 on it. What does this mean? 4th time: You have 100 + 30 + 7 tickets. What number is this? 5th time: You win a prize and get 428 tickets. What is the value of each digit? Answer key: 1st time: 1 hundred, 3 tens, 2 ones 2nd time: 2 hundreds, 4 tens, 6 ones 3rd time: 5 hundreds, 0 tens, 0 ones 4th time: 137 tickets 5th time: 4 hundreds, 2 tens, 8 ones

Common mistakes

  • Mistake: Thinking 123 means 123 ones instead of 1 hundred, 2 tens, 3 ones.
    Why it happens: Not understanding that each digit has a special job.
    Fix: Use base-10 blocks or draw groups to see how many tens and hundreds you have.
  • Mistake: Mixing up the order of digits.
    Why it happens: Confusing the place value positions.
    Fix: Always start from the right and move left – ones, tens, hundreds.
  • Mistake: Not using zero as a place holder.
    Why it happens: Thinking that 102 is the same as 12.
    Fix: Remember that zero holds a place to show that there are no tens or hundreds.

Parent and carer guide

Here’s how to help your child understand place value in 5–10 minutes: 1. Use real objects – Count out 100 pennies, 10 groups of 10, and 10 single pennies to make 110. 2. Draw it out – Draw a table with columns for hundreds, tens, and ones. 3. Play with numbers – Ask them to break down numbers like 367 into 3 hundreds, 6 tens, and 7 ones. 4. Relate to daily life – Use their pocket money or snacks to show how many groups of 10 and 100 they have. 5. Don’t rush – It’s okay to take time to explore and make mistakes. Place value is a big idea!

Practice questions

  1. Break down the number 256 into hundreds, tens, and ones.
  2. What number is made by 3 hundreds, 7 tens, and 4 ones?
  3. How many hundreds, tens, and ones are in 1000?
  4. Which number is greater: 456 or 465? Explain using place value.
  5. Draw a picture showing 342 tickets using base-10 blocks.
Answers:
  1. 2 hundreds, 5 tens, 6 ones
  2. 374
  3. 1 hundred, 0 tens, 0 ones
  4. 465 is greater because 6 tens is more than 5 tens
  5. Draw 3 big squares (hundreds), 4 rectangles (tens), and 2 small circles (ones)

FAQ

What does place value mean?

Place value means that the position of a digit in a number tells you how much it’s worth. The rightmost digit is ones, the next is tens, and the next is hundreds.

Why do we need to know place value?

Place value helps us understand how big numbers work, so we can add, subtract, compare, and solve problems with numbers like 100, 1000, and beyond.

How can I practice place value at home?

You can practice by breaking down numbers in your daily life, like counting your toys or snacks in groups of 10 and 100.

Can I use place value for bigger numbers?

Yes! You can use place value for thousands, ten thousands, and even more. Each new position is ten times bigger than the one before it.

What if I forget the place values?

Draw a chart with hundreds, tens, and ones columns. You can also use base-10 blocks or draw pictures to help you remember.