You will learn
- Find the nearest tens for a number.
- Use the rule: 5 or more rounds up.
- Round numbers up to 10,000 to the nearest ten.
- Use rounding to give a quick estimate.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Look at the ones digit.
- 5 or more, round up.
- 4 or less, round down.
- Rounding gives a quick estimate.
Words to know
Change a number to a nearby simpler number.
The closest multiple of 10.
Go to the next ten.
Stay on the lower ten.
1. Discover: about how many?
A shopkeeper says he has about 40 oranges when he really has 43. How did he decide to say 40?
2. Understand: rounding to the nearest ten
To round to the nearest ten, look at the ones digit. If it is 5 or more, round up. If it is 4 or less, round down.
43 → 40; 47 → 50; 45 → 50. 1,234 → 1,230. 3,996 → 4,000, because 6 rounds up.
On a number line, 45 is exactly halfway between 40 and 50, and we round it up.
Idea 1: The rule
To round to the nearest ten, look at the ones digit. If it is 5 or more, round up. If it is 4 or less, round down.
Idea 2: Examples
67 rounds to 70. 52 rounds to 50. 1,234 rounds to 1,230.
Idea 3: Carry over
995 rounds to 1,000 because the tens go up to 10 and carry.
Why round? Rounded numbers are quicker to add and compare.
3. Worked examples
Example 1 (I show you): Up
Round 67 to the nearest ten.
- Ones digit 7 is 5 or more.
Answer: 70
Example 2 (We do it together): Down
Round 1,234 to the nearest ten.
- Ones digit 4 is less than 5.
Answer: 1,230
Example 3 (You try): Carry
Round 995 to the nearest ten.
Show the steps and answer
- Ones digit 5 rounds up. 99 tens + 1 = 100 tens.
Answer: 1,000
Did you know?
A number ending in 5 always rounds up.
Why this matters
We round when an exact number is not needed, like “about 70 children”.
4. Explore: rounding line
Draw a number line from 40 to 50.
- Mark 43, 45 and 47.
- Find which ten each is nearest to.
- Round 1,234 and 3,996.
- Write each answer.
Think about it: what did you notice?
43 → 40, 45 → 50, 47 → 50, 1,234 → 1,230, 3,996 → 4,000.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The ones digit is ___.
- So I round ___.
- The nearest ten is ___.
- It is between ___ and ___.
Guided practice
Question 1. Round 43.
40.
Question 2. Round 45.
50.
Question 3. Round 3,996.
4,000.
Independent practice
Level 1: Start
- Round 67 to the nearest ten
- Round 52
- Round 1,234
- Round 8,785
- Round 995
Level 2: Grow
- Round 74
- Round 85
- Round 2,361
Level 3: Stretch
- Round 5,555
- Round 9,997
- Ben rounds 38 to 30 because 8 is far from 0. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A school has 3,996 books. Round to the nearest ten.
Show a sample answer
4,000 books.
Another one. A bus carries 48 children. Round to the nearest ten and explain.
Show a sample answer
50, because the ones digit 8 is 5 or more
7. Common mistakes
Fix: 5 or more rounds up.
Fix: Look at the ones digit.
Fix: 5 or more rounds up.
8. Lesson summary and revision card
- I can find the nearest ten.
- I can use the 5 rule.
- I can round up to 10,000.
- I can use rounding to estimate.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- Look at the ones digit.
- 5 or more rounds up.
- Rounding gives a quick estimate.
11. Next lesson
Next lesson: Rounding to the nearest hundred. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- Round 67 to the nearest ten. [1 mark]
- Round 1,234 to the nearest ten. [1 mark]
- Round 8,785 to the nearest ten. [1 mark]
- Which digit do we look at when rounding to the nearest ten? [1 mark]
- Ali says 45 rounds to 40. Is he right? Explain. [3 marks]
Total: 7 marks.
Marking guide and model answers
- 70 [1]
- 1,230 [1]
- 8,790 [1]
- The ones digit [1]
- No [1]. 5 rounds up [1]. It is 50 [1].
Score guide: 6 to 7 = secure. 5 to 5 = nearly there, revise the parts you missed. Under 5 = work through the lesson again with a grown-up.
Printable worksheet
- Round 67
- Round 52
- Round 1,234
- Round 8,785
- Round 995
- Round 43
- Round 45
- Round 1,234
- Round 3,996
- Round 995
Homework
Round five prices at home to the nearest ten.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Round 67 | 70 | 2 |
| Round 52 | 50 | 2 |
| Round 1,234 | 1,230 | 2 |
| Round 8,785 | 8,790 | 2 |
| Round 995 | 1,000 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 70; 2 50; 3 1,230; 4 8,790; 5 1,000.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 C, Challenge 2 C.
Extra worksheet answers (items 6 onward): 6 40; 7 50; 8 1,230; 9 4,000; 10 1,000.
Independent practice answers. Level 1: 1 70; 2 50; 3 1,230; 4 8,790; 5 1,000. Level 2: 1 70; 2 90; 3 2,360. Level 3: 1 5,560; 2 10,000; 3 8 is 5 or more, so round up to 40..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Find the nearest tens for a number | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Use the rule: 5 or more rounds up | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Round numbers up to 10,000 to the nearest ten | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Use rounding to give a quick estimate | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Rounding down when the ones digit is 5. 5 or more rounds up.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use a number line with marks at tens.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
For parents and guardians
In this lesson your child rounds numbers to the nearest ten. You do not need to be good at mathematics to help.
- Round prices to the nearest ten.
- Ask: what is the ones digit? up or down?
- Use a number line.
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: find the nearest tens for a number; use the rule: 5 or more rounds up; round numbers up to 10,000 to the nearest ten; use rounding to give a quick estimate.
Prerequisite knowledge. Lessons 1 to 5.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 45–60 minutes. It can be split into two shorter sessions.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). Draw a number line from 40 to 50. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Key questions. What is the ones digit? Is it 5 or more? Which ten is closest?
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Rounding down when the ones digit is 5. 5 or more rounds up.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 7-mark exam practice scheme, the 10-mark scheme and all answers are in the answer sections above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Use a number line with marks at tens. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
This lesson is based on the sources below, and no official endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Where a standard code is named, it points to the official framework.
Official standards for this topic area. Common Core State Standards for Mathematics (official site): Grade 3 » Number & Operations in Base Ten. These pages list the standards that cover this topic area; read them alongside the lesson.
Research used to shape this lesson. Common Core 3.NBT.A.1 (round to nearest 10 or 100); Cambridge Primary Mathematics Stage 3 (rounding). These sources informed the lesson.