Place value: the value of each digit – Year 5 maths lesson
UK version. UK school years, UK spelling and pounds (£). · US version (Grade 4)
A complete 45-minute lesson for Year 5 (ages 9–10) 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 5 (ages 9–10)
- 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: “Explain why the 5 in 5,000 and the 5 in 50 are worth different amounts.”
- Later that day or the next day: the homework (20 minutes), then a practice test.
Watch out for
- Giving the digit instead of its value (saying the 3 in 4,352 is worth 3). Ask "3 what?" – write the number in a place value chart and say the column name every time.
- Ignoring zeros and so shifting digits (reading 4,052 as 452). Build the number with place value counters; an empty column still has to be shown.
Miss Hypatia's tip for home: Pick numbers you see (prices, house numbers, the car mileage) and ask what one digit is worth.
What your child will learn
We are learning to say the value of each digit in a number.
Success looks like
- I can name the column each digit is in.
- I can say the value of any digit.
- I can explain what a zero does in a number.
Key words
- digit
- one of the symbols 0 to 9
- place value
- what a digit is worth because of its column
- place holder
- a zero that keeps other digits in their columns
- partition
- split a number into its parts, e.g. 4,000 + 300 + 50 + 2
What to have ready
- Paper and a pencil
- This page on a computer, tablet or phone
- For the hands-on part: Build numbers on a place value chart with counters. One learner builds, the other writes the number and says the value of one digit. No place value counters? Draw a place value chart on paper and use dots instead of counters.
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 5 maths lessons
- Rounding to the nearest 10, 100 or 1,000
- Column addition
- Column subtraction
- Short multiplication
- Long multiplication
- Short division
- Equivalent fractions
- Fractions of amounts
- Adding and subtracting fractions with different denominators
- Decimals: tenths, hundredths and thousandths
- Multiplying and dividing by 10, 100 and 1,000
- Percentages of amounts
- Area of rectangles
- Perimeter
- Missing angles
- Converting units of time
- Negative numbers
- Factors and multiples
- Prime numbers
Curriculum
National Curriculum for England, Year 5: “read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit”
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.