Decimals: tenths, hundredths and thousandths – Grade 5 math lesson
US version. US grades, US spelling and dollars ($). · UK Maths Department
A complete 45-minute lesson for grade 5 (ages 10–11) that runs on this page – at school or at home. Every answer is graded right away, with a worked explanation.
- Time
- 45 minutes + 20 min homework
- Grade
- Grade 5 (ages 10–11)
- You need
- Paper, a pencil and this page
- Graded
- 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 Math, likes it: one tidy step at a time. Every answer is graded straight away with a worked explanation, so you never have to grade 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
Learning goal: 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 | Graded by Classfern |
| Teaching input | 10 min | Not assessed, self-checked |
| Worked examples and guided practice | 9 min | Not assessed, graded by Classfern |
| Independent practice | 15 min | Graded by Classfern |
| Closure and exit ticket | 6 min | Graded by Classfern, self-checked |
Starter, "your turn", practice and exit ticket are graded 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 graded instantly.
More practice
More Grade 5 math lessons
Curriculum
Common Core State Standards: ccss-ma-5-nbt-a-3-b
Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.