You will learn
- Find the rounding place.
- Look at the next digit.
- Round up or stay.
- Round to 10, 100 and 1,000.
Version 0.2 · expanded edition · expert review pending Standards alignment: pending verification. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Find the rounding place.
- Look at the digit to its right.
- 5 or more, round up. 4 or less, stay.
- Round to 10, 100 or 1,000.
Words to know
Change to a nearby friendly number.
Closest.
The digit we round to.
An answer that is close.
1. Discover: attendance
A news report says “about 5,000 people” came when 4,768 came. How did they get 5,000?
2. Understand: rounding
To round: find the rounding place; look at the digit to its right. If it is 5 or more, round up; if less than 5, keep the digit and make the rest zeros.
- 4,768 to the nearest 10: 4,770.
- 4,768 to the nearest 100: 4,800.
- 4,768 to the nearest 1,000: 5,000.
- 23,450 to the nearest 1,000: 23,000. To the nearest 100: 23,500.
Idea 1: Rule
To round to the nearest 100, look at the tens digit. 3,462 has tens digit 6, so round up to 3,500.
Idea 2: Thousands
7,950 to the nearest 1,000: hundreds digit 9, so 8,000. 12,500: hundreds digit 5, so 13,000.
Idea 3: Tens
56,284 to the nearest 10: ones digit 4, so 56,280.
Why round? Rounded numbers are easier to remember and estimate with.
3. Worked examples
Example 1 (I show you): Hundred
3,462 to the nearest 100
- Tens digit 6.
Answer: 3,500
Example 2 (We do it together): Thousand
7,950 to the nearest 1,000
- Hundreds digit 9.
Answer: 8,000
Example 3 (You try): Ten
56,284 to the nearest 10
Show the steps and answer
- Ones digit 4.
Answer: 56,280
Did you know?
When the next digit is exactly 5, we round up.
Why this matters
Rounding helps us estimate and report big numbers.
4. Explore: round it
You need paper and a pencil.
- Underline the rounding place.
- Circle the next digit.
- Round up or stay.
- Replace the rest with zeros.
Think about it: what did you notice?
4,768 → 4,800.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The rounding place is ___.
- The next digit is ___.
- So I round ___.
- The answer is ___.
Guided practice
Question 1. 4,768 to nearest 100?
4,800.
Question 2. 4,768 to nearest 1,000?
5,000.
Question 3. 23,450 to nearest 1,000?
23,000.
Independent practice
Level 1: Start
- Round 3,462 to nearest 100
- Round 7,950 to nearest 1,000
- Round 56,284 to nearest 10
- Round 12,500 to nearest 1,000
- Round 98,650 to nearest 100
Level 2: Grow
- Round 5,641 to the nearest 100
- Round 3,500 to the nearest 1,000
- Round 78,235 to the nearest 10
Level 3: Stretch
- Round 45,678 to the nearest 1,000
- Round 9,996 to the nearest 10
- Ben rounds 2,449 to the nearest 100 as 2,500 because 9 is big. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A match had 12,360 fans. Round to the nearest 1,000.
Show a sample answer
12,000.
Another one. A town has 56,284 people. Round to the nearest 10, 100 and 1,000.
Show a sample answer
56,280; 56,300; 56,000
7. Common mistakes
Fix: Look at the digit to the right.
Fix: Look at the digit just to the right of the rounding place.
Fix: They become zeros.
8. Lesson summary and revision card
- I can find the rounding place.
- I can look at the next digit.
- I can round up or stay.
- I can round to 10, 100 and 1,000.
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 right of the rounding place.
- 5 or more: up.
- Zeros fill the rest.
11. Next lesson
Next lesson: Number relationships. 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 3,462 to the nearest 100. [2 marks]
- Round 7,950 to the nearest 1,000. [2 marks]
- Round 56,284 to the nearest 10. [1 mark]
- Round 12,500 to the nearest 1,000. [1 mark]
- Ana says 12,360 rounds to 13,000 to the nearest 1,000. Is she right? Explain. [3 marks]
Total: 9 marks.
Marking guide and model answers
- Tens digit 6 [1]; 3,500 [1]
- Hundreds digit 9 [1]; 8,000 [1]
- 56,280 [1]
- 13,000 [1]
- No [1]. The hundreds digit is 3, less than 5 [1]. It is 12,000 [1].
Score guide: 8 to 9 = secure. 6 to 7 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- 3,462 to nearest 100
- 7,950 to nearest 1,000
- 56,284 to nearest 10
- 12,500 to nearest 1,000
- 98,650 to nearest 100
- 4,768 to the nearest 100
- 3,462 to the nearest 100
- 7,950 to the nearest 1,000
- 12,500 to the nearest 1,000
- 98,650 to the nearest 100
Homework
Round five numbers from a newspaper to the nearest 1,000.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 3,462 to nearest 100 | 3,500 | 2 |
| 7,950 to nearest 1,000 | 8,000 | 2 |
| 56,284 to nearest 10 | 56,280 | 2 |
| 12,500 to nearest 1,000 | 13,000 | 2 |
| 98,650 to nearest 100 | 98,700 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 3,500; 2 8,000; 3 56,280; 4 13,000; 5 98,700.
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 4,800; 7 3,500; 8 8,000; 9 13,000; 10 98,700.
Independent practice answers. Level 1: 1 3,500; 2 8,000; 3 56,280; 4 13,000; 5 98,700. Level 2: 1 5,600; 2 4,000; 3 78,240. Level 3: 1 46,000; 2 10,000; 3 Look only at the tens digit, 4. Round down to 2,400..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Find the rounding place | 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 Look at the next digit | 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 up or stay | 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 Round to 10, 100 and 1,000 | 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 |
Proposed Courseversity thresholds for this page: Bronze = at least 8 of 12 core questions correct; Silver = all 12; Gold = all 12 plus both challenge questions. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Rounding up because the digit to the left is big. Look at the digit to the right.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use a number line to see the nearest ten.
- 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 10, 100 and 1,000. You do not need to be good at mathematics to help.
- Round shop prices together.
- Ask: which digit do we look at?
- Draw 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 rounding place; look at the next digit; round up or stay; round to 10, 100 and 1,000.
Prerequisite knowledge. Lessons 3 and 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). You need paper and a pencil. 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 rounding place? What is the next digit?
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 up because the digit to the left is big. Look at the digit to the right.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 9-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 to see the nearest ten. 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
Alignment is pending verification and no external 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. Specific standard codes will be added once checked against the official documents.
Research used to shape this lesson. Common Core 4.NBT.A.3 (round multi-digit numbers); Cambridge Primary Mathematics Stage 4 (rounding). These sources informed the lesson; no official alignment is claimed.