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Maths Adventures

Airport maths quest: place value

A story-led junior maths adventure using departures, luggage weights and route maps to decode big numbers by hundreds, tens and ones.

Quick answer

By the end of this page, you'll understand how to break down big numbers into hundreds, tens, and ones – just like decoding a secret message on your airport adventure!

Learning outcome

By the end of this page, you will be able to:
  • Split big numbers into hundreds, tens, and ones
  • Read and write numbers up to 1000 using place value
  • Use your knowledge to solve airport maths challenges
  • Understand how place value helps you count and compare big numbers

Why this matters

Place value is like a secret code that helps us understand how big numbers work. When you're at the airport, you might see a flight number like 124 or a weight of 578 kg. Understanding place value helps you know what these numbers really mean. It's also super useful for:
  • Reading and writing numbers up to 1000
  • Adding and subtracting bigger numbers
  • Understanding money, time, and distances
  • Helping you with your maths homework

How it works

Let's imagine you're on an exciting airport adventure! You're planning a trip and need to understand numbers like:
  • Flight number 345
  • Luggage weight 789 kg
  • Distance to your destination 1234 km
Every number is made up of hundreds, tens, and ones. We can break them down like this:
  1. Ones place – the rightmost digit
  2. Tens place – the middle digit
  3. Hundreds place – the leftmost digit
Let's take flight number 345:
  • 3 is in the hundreds place (300)
  • 4 is in the tens place (40)
  • 5 is in the ones place (5)
So 345 = 300 + 40 + 5

Examples you can see

Let's go on a journey and meet some airport characters who need your help with place value! Example 1: The Luggage Scale Your friend Sarah is packing for a trip. Her suitcase weighs 567 kg. Let's break it down:
  • 5 is in the hundreds place = 500 kg
  • 6 is in the tens place = 60 kg
  • 7 is in the ones place = 7 kg
So 567 kg = 500 + 60 + 7 Example 2: The Flight Board Look at this flight board:
  • Flight 100 – 1 hundred, 0 tens, 0 ones
  • Flight 234 – 2 hundreds, 3 tens, 4 ones
  • Flight 890 – 8 hundreds, 9 tens, 0 ones
Example 3: The Airport Map You're planning a trip from London to Paris. The distance is 342 km.
  • 3 hundreds = 300 km
  • 4 tens = 40 km
  • 2 km
So 342 km = 300 + 40 + 2

Try it as a mini adventure

Adventure: The Airport Number Quest You're a brave explorer at the airport. You've found a secret message in the baggage claim area. It says:
  • Flight 123
  • Baggage weight 456 kg
  • Distance 789 km
Your mission is to decode each number and write it in expanded form (hundreds + tens + ones). Step 1: Flight 123
  • 1 hundreds = ?
  • 2 tens = ?
  • 3>
Answer: 100 + 20 + 3 Step 2: Baggage weight 456 kg
  • 4 hundreds = ?
  • 5 tens = ?
  • 6>
Answer: 400 + 50 + 6 Step 3: Distance 789 km
  • 7 hundreds = ?
  • 8 tens = ?
  • 9>
Answer: 700 + 80 + 9 Step 4: Bonus challenge – What number is 2 hundreds, 3 tens, and 5 ones? Answer: 200 + 30 + 5 = 235

Common mistakes

  • Mistake: Mixing up the order of hundreds, tens, and ones
    Why it happens: Not understanding that the position of a digit changes its value
    Fix: Use a place value chart or draw circles to label hundreds, tens, and ones
  • Mistake: Forgetting that 0 in any place means "nothing there"
    Why it happens: Thinking 0 means "no number"
    Fix: Remember that 0 in the tens place means zero tens, not zero in total
  • Mistake: Reading numbers from left to right without thinking about place value
    Why it happens: Not understanding that each digit's position is important
    Fix: Always ask "What place is this digit in?"

Parent and carer guide

How to help your child at home (5-10 minutes):
  • Ask your child to break down their age into hundreds, tens, and ones (e.g., if they are 8 years old, it's 0 hundreds, 0 tens, 8 ones)
  • Play a game where you say a number and they tell you how many hundreds, tens, and ones are in it
  • Use everyday numbers like house numbers, prices in a shop, or car speeds to practice
  • Draw a place value chart together (write hundreds, tens, ones at the top of three columns)
  • Point out numbers in newspapers, ads, or on signs and ask "What place is each digit in?"
  • Don't worry if they make mistakes – it's part of learning!

Practice questions

  1. Break down the number 247 into hundreds, tens, and ones
  2. Write 508 in expanded form
  3. What number is made up of 3 hundreds, 6 tens, and 2 ones?
  4. Break down 910 into hundreds, tens, and ones
  5. Write 720 in expanded form
Answers:
  1. 2 hundreds, 4 tens, 7 ones
  2. 500 + 0 + 8
  3. 362
  4. 9 hundreds, 1 ten, 0 ones
  5. 700 + 20 + 0

FAQ

What is place value?

Place value means that each digit in a number has a different value depending on where it is. The position of a digit tells us if it's worth hundreds, tens, or ones.

Why do we need to know place value?

Place value helps us read, write, and compare big numbers. It's important for maths, money, time, and many other things in daily life.

How do I remember which place is which?

Think of it like this: ones place is the rightmost digit, tens place is in the middle, and hundreds place is the leftmost digit. You can also remember "Ones, Tens, Hundreds" – the order goes from right to left.

What happens when there's a zero in a number?

A zero in any place means there are no groups of that size. For example, in 205, there are 2 hundreds, 0 tens, and 5 ones.

Can you use place value for numbers bigger than 1000?

Yes! Place value works for any number. After hundreds, we have thousands, then ten thousands, and so on. But we'll start with hundreds, tens, and ones first!