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Maths Adventures

Farm maths quest: decimals

A story-led junior maths adventure using crops, fences and animal groups to measure small distances, money and scores with tenths and hundredths.

Quick answer

Decimals are numbers that are less than one, like 0.5 or 0.25, and they help us measure small amounts, like parts of a crop, lengths of fence, or money amounts.

Learning outcome

By the end of this page, you will understand how decimals work in real-life farm situations and be able to use tenths and hundredths to measure and count things like crops, animals, and money.

Why this matters

Decimals help us be more precise when we measure or count things that are not whole numbers. On a farm, you might need to know that a pig weighs 12.5 kg, or that a field is 3.75 hectares. Decimals are used in farming for:
  • Measuring small amounts of food or water
  • Calculating prices for crops or animals
  • Tracking growth or weight changes
  • Dividing land or resources fairly
Understanding decimals helps you become better at solving problems in everyday life, not just on the farm.

How it works

Decimals are numbers that are less than one. They have a decimal point (.) and digits after it. Each digit after the decimal point shows a smaller part of a whole:
  • The first digit after the decimal point is a tenth (1/10)
  • The second digit is a hundredth (1/100)
For example:
  • 0.5 means 5 tenths, or half of one
  • 0.25 means 25 hundredths, or 25 parts out of 100
You can think of decimals like:
  • Money: £1.25 means one pound and twenty-five pence
  • Length: 0.75 metres is three-quarters of a metre
  • Weight: 0.5 kg is half a kilogram

Examples you can see

Let’s look at some farm examples that use decimals:

Example 1: Measuring Crops

Imagine you have a field that is 12.75 hectares. This means:
  • 12 whole hectares
  • 0.75 of another hectare
You can think of 0.75 as 75 parts out of 100, or 3 quarters of a hectare.

Example 2: Animals and Food

A pig eats 2.5 kg of food each day. This means:
  • 2 whole kilograms
  • 0.5 of another kilogram (half a kilogram)
You can also think of 2.5 as 2 and a half.

Example 3: Money and Prices

A bag of carrots costs £3.40. This means:
  • £3
  • 40 pence (0.40 of a pound)
So 3.40 is 3 pounds and 40 pence.

Example 4: Fencing

A fence is 4.25 metres long. This means:
  • 4 whole metres
  • 0.25 of another metre (a quarter of a metre)
You can also think of 0.25 as 25 centimetres.

Try it as a mini adventure

Farm Maths Quest: The Decimal Dilemma You are a young farmer helping your grandpa on the farm. You need to solve decimal puzzles to help with your daily tasks.

Task 1: Measuring the Garden

Your grandpa wants you to measure a garden that is 6.3 metres wide. You need to:
  • Count 6 full metres
  • Then measure 0.3 of another metre
How many centimetres is 0.3 of a metre?

Task 2: Feeding the Pigs

Each pig eats 1.75 kg of food. If you have 3 pigs, how much food do they eat altogether?

Task 3: Selling Vegetables

You sell 4.2 kg of potatoes at £2.50 per kilogram. How much money do you make?

Task 4: Calculating Land

A field is 15.8 hectares. How many whole hectares is this? How many hundredths of a hectare is the 0.8?

Common mistakes

  • Mistake: Thinking 0.5 is bigger than 0.25
    • Why it happens: Confusing the size of the digits
    • Fix: Remember that 0.5 = 50/100 and 0.25 = 25/100, so 0.5 is bigger
  • Mistake: Mixing up tenths and hundredths
    • Why it happens: Not paying attention to the decimal point
    • Fix: Count the digits after the decimal point to know if it’s tenths or hundredths
  • Mistake: Writing 0.5 as 5 instead of 0.5
    • Why it happens: Forgetting the decimal point
    • Fix: Always write the decimal point and make sure it's in the right place

Parent and carer guide

Parents and carers can help by:
  • Using everyday situations to talk about decimals, like shopping or cooking
  • Practising with real objects like money or measuring tools
  • Encouraging children to explain how they understand decimals
  • Being patient if children make mistakes – they are learning!
  • Using visual aids like fraction strips or decimal number lines
What to say:
  • "Let's count how many tenths make one whole"
  • "Can you show me 0.25 using a number line?"
  • "How much is 0.7 of a pound in pence?"
What not to worry about:
  • Children may mix up tenths and hundredths at first
  • It's normal to make small mistakes when learning
  • Focus on understanding the idea, not just getting the right answer

Practice questions

  1. What is 0.6 as a fraction?
  2. How many centimetres are in 0.4 of a metre?
  3. What is 1.25 in words?
  4. How much is 3.75 kg in grams?
  5. What is 0.8 of a hectare in square metres?
Answers:
  1. 6/10 or 3/5
  2. 40 cm
  3. One and twenty-five hundredths
  4. 3750 g
  5. 8000 m²

FAQ

What is a decimal?

A decimal is a number that has a decimal point and shows parts of a whole number, like 0.5 or 0.25.

How do I know if a decimal is a tenth or a hundredth?

The first digit after the decimal point is a tenth. The second digit is a hundredth. For example, in 0.35, 3 is the tenth and 5 is the hundredth.

Why do we use decimals?

Decimals help us be more accurate when we measure or count things that are not whole numbers, like money, weight, or distance.

Can you give me a real-life example of decimals on a farm?

Yes! A cow might weigh 500.75 kg, or a field might be 2.25 hectares. These decimals help farmers measure exactly how much they have.

How can I practice decimals at home?

You can practice by using money, measuring things in your home, or cooking with recipes that use decimals like 0.5 or 0.25.