Airport maths quest: decimals
A story-led junior maths adventure using departures, luggage weights and route maps to measure small distances, money and scores with tenths and hundredths.
Quick answer
Decimals help us measure small parts of things, like how much luggage weighs or how far a plane travels. In this airport maths quest, you'll learn how to use decimals to solve real problems about flights, luggage, and travel distances.
Learning outcome
By the end of this page, you will be able to use decimals to measure small parts of distances, weights, and amounts of money in real airport situations.
- You can read and write decimals with tenths and hundredths
- You can compare decimal numbers using place value
- You can add and subtract simple decimals
- You can solve problems involving luggage weights, flight distances, and ticket prices
Why this matters
Decimals are everywhere in the real world – especially in airports! When you check in your luggage, you might see it weighs 12.5 kg. When you buy a plane ticket, it might cost £249.99. When you travel, you might go 342.7 miles. Understanding decimals helps you make smart choices when you travel, just like a real airport navigator!
How it works
Decimals are numbers that have a decimal point. The part after the decimal point shows parts of one whole thing.
- Think of a whole number like a whole pizza
- The decimal point is like a cut through the pizza
- Each part after the decimal point is smaller than the whole pizza
- For example: 1.5 means one whole pizza and half of another pizza
When you see a decimal like 3.75, it means 3 whole things and 75 parts out of 100 of another whole thing.
Examples you can see
Let's imagine you're at the airport with your family. You have a suitcase that weighs 23.4 kg. This means your suitcase weighs 23 kg and 4 tenths of a kilogram (which is 400 grams).
| Decimal | What it means | Real-world example |
|---|---|---|
| 0.1 | One tenth | 100g of flour |
| 0.25 | Twenty-five hundredths | Quarter of a pound |
| 1.5 | One and five tenths | 1.5 hours of flight time |
| 3.75 | Three and seventy-five hundredths | 3.75 kg of luggage |
Imagine you're planning a trip to Paris. The map shows that your flight is 342.7 miles. This means 342 whole miles and 7 tenths of a mile.
Try it as a mini adventure
Let's go on an airport maths quest! You are planning a family trip to London. Here's your adventure:
- 1st stop: Check in your luggage. Your suitcase weighs 18.3 kg.
- 2nd stop: Buy a ticket. Adult tickets cost £129.50 and child tickets cost £67.25.
- 3rd stop: Check the flight distance. Your flight is 342.7 miles.
- 4th stop: Calculate your total luggage weight. You have 3 suitcases: 18.3 kg, 22.1 kg, and 15.6 kg.
- 5th stop: Work out how much money you'll spend on tickets for 2 adults and 1 child.
Can you solve these questions?
- What is the total weight of your luggage?
- How much will you spend on tickets?
Common mistakes
- Mistake: Thinking 0.8 is larger than 0.12 because 8 is larger than 12.
- Why it happens: Children focus only on the numbers after the decimal point.
- Fix: Remember that 0.8 means 8 tenths, and 0.12 means 1 tenth and 2 hundredths. 0.8 is actually 0.80, which is larger than 0.12.
- Mistake: Adding decimals like 2.3 + 4.5 = 6.8, but forgetting to line up the decimal points.
- Why it happens: Children may treat decimals like whole numbers.
- Fix: Always write the decimal points in line when adding or subtracting.
- Mistake: Confusing 0.5 kg with 5 kg.
- Why it happens: The decimal point can be confusing.
- Fix: Remember that 0.5 kg means half a kilogram, which is 500 grams.
Parent and carer guide
Help your child practice decimals by doing these simple activities at home:
- When shopping, ask them to compare prices like £3.49 and £3.99
- At the airport, look at luggage weights together and talk about what 0.5 kg means
- Use a ruler to measure small lengths and show how 1.2 cm is 1 cm and 2 mm
- Play a game where you give them a decimal and they find a real-world example
- When cooking, use scales that show grams and decimals
Remember: it's okay if your child makes mistakes – they're learning!
Practice questions
- What is 1.2 + 0.8?
- Which is larger: 0.45 or 0.5?
- How much does 3 suitcases weigh if they weigh 12.5 kg, 15.7 kg, and 10.3 kg?
- What is the total cost of 2 adult tickets at £149.99 each?
- How much change would you get from £100 if you spent £78.45?
Answers:
- 2.0
- 0.5 is larger
- 38.5 kg
- £299.98
- £21.55
FAQ
What does a decimal point mean?
A decimal point separates whole numbers from parts of a number. For example, in 3.7, the decimal point shows that 3 is a whole number and 7 is a part of one.
How do I compare decimals?
Start by comparing the whole numbers. If they're the same, look at the tenths, then the hundredths. For example, 2.45 is larger than 2.39 because 4 tenths is more than 3 tenths.
Why are decimals useful at the airport?
Decimals help us be precise with weights, distances, and prices. When luggage weighs 23.4 kg, it's more accurate than saying 23 kg or 24 kg.
Can I use decimals with money?
Yes! Money is often shown in decimals like £2.50 or £10.99. You can add and subtract these amounts just like other decimals.
How can I practice decimals at home?
You can practice by measuring small objects, comparing prices, or using a ruler to measure in centimeters and millimeters.