Decimals: tenths, hundredths and thousandths – Year 4 maths lesson
UK version. UK school years, UK spelling and pounds (£). · US Math Department
A complete 45-minute lesson for Year 4 (ages 8–9) that runs on this page – at school or at home. Every answer is marked straight away, with a worked explanation.
- Time
- 45 minutes + 20 min homework
- Year
- Year 4 (ages 8–9)
- You need
- Paper, a pencil and this page
- Marked
- Instantly, with explanations
For parents: how to use this lesson
You don't need to know this topic yourself. The lesson explains each step on screen, the way Mr Euclid, our Head of Maths, likes it: one tidy step at a time. Every answer is marked straight away with a worked explanation, so you never have to mark anything.
- Read what your child will learn together.
- Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
- Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
- Finish with the exit ticket and the talk question: “Is 0.8 or 0.75 bigger? How do you know?”
- Later that day or the next day: the homework (20 minutes), then a practice test.
Watch out for
- Thinking a longer decimal is bigger (0.75 > 0.8). Write 0.8 as 0.80 and compare 80 hundredths with 75 hundredths.
- Mixing up tenths and hundredths. Use a place value chart that carries on to the right of the decimal point.
Miss Hypatia's tip for home: Compare prices or race times with decimals, e.g. 10.4 seconds and 10.38 seconds.
What your child will learn
We are learning to say the value of digits in decimals and compare decimals.
Success looks like
- I can name the columns after the decimal point.
- I can say the value of each digit.
- I can compare decimals by looking at tenths first.
Key words
- decimal point
- separates whole numbers from parts of one
- tenth
- one of 10 equal parts of one: 0.1
- hundredth
- one of 100 equal parts of one: 0.01
- thousandth
- one of 1,000 equal parts of one: 0.001
What to have ready
- Paper and a pencil
- This page on a computer, tablet or phone
- For the hands-on part: Use a hundred square as one whole: shade 0.4 as four columns and 0.07 as seven small squares. No squared paper? Draw a 10 by 10 grid on paper.
The lesson, step by step
| Part | Time | How it is checked |
|---|---|---|
| Starter: quick recall | 5 min | Marked by Classfern |
| Teaching input | 10 min | Not assessed, self-checked |
| Worked examples and guided practice | 9 min | Not assessed, marked by Classfern |
| Independent practice | 15 min | Marked by Classfern |
| Plenary and exit ticket | 6 min | Marked by Classfern, self-checked |
Starter, "your turn", practice and exit ticket are marked by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.
The lesson
It runs here on the page. No sign-up and no names – progress is kept only in this browser.
Homework and practice at home
20 minutes: 10 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all marked instantly.
More practice
More Year 4 maths lessons
- Place value: the value of each digit
- Rounding to the nearest 10, 100 or 1,000
- Column addition
- Column subtraction
- Times tables
- Short multiplication
- Equivalent fractions
- Adding and subtracting fractions with the same denominator
- Fractions of amounts
- Multiplying and dividing by 10, 100 and 1,000
- Area of rectangles
- Perimeter
- Converting units of time
- Money: totals and change
Curriculum
National Curriculum for England, Year 4: “recognise and write decimal equivalents of any number of tenths or hundredths”
Contains public sector information licensed under the Open Government Licence v3.0.
Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.