You will learn
- Identify the rounding place.
- Look at the next digit.
- Round to ten thousand, hundred thousand and million.
- Use rounding to estimate.
Version 0.1 · published for early use · expert review pending Standards alignment: pending verification. Not yet reviewed against the Courseversity scorecard.
Student lesson
Words to know
Change to a nearby friendly number.
The digit we round to.
About.
Closest.
1. Discover: a news report
A report says “about 3.5 million people” when the count is 3,456,789. How was that found?
2. Understand: rounding
Look at the digit to the right of the rounding place: 5 or more rounds up.
- 3,456,789 to the nearest 100,000: 3,500,000.
- To the nearest million: 3,000,000.
- To the nearest 10,000: 3,460,000.
- 2,500,000 to the nearest million: 3,000,000.
3. Explore: round
You need paper.
- Underline the rounding digit.
- Look at the next digit.
- Round up or stay.
- Zeros fill the rest.
Think about it: what did you notice?
3,500,000.
4. Practise
Guided practice
Question 1. 3,456,789 to nearest 100,000?
3,500,000.
Question 2. To nearest million?
3,000,000.
Question 3. 2,500,000 to nearest million?
3,000,000.
Independent practice
- Round 5,678,901 to nearest million
- Round 4,321,000 to nearest 100,000
- Round 7,450,000 to nearest million
- Round 1,234,567 to nearest 10,000
- Round 9,999,999 to nearest million
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
A stadium holds 78,540 people. Round to the nearest 10,000.
Show a sample answer
80,000.
6. Common mistake
Fix: 5 or more rounds up.
7. Check and master
Answer all questions. You will see feedback after each one.
Your result appears here after you answer every question.
8. Key takeaways
- Look right.
- 5 or more: up.
- Zeros fill.
9. Next lesson
Next lesson: Powers of ten. Keep going with the next idea in this course.
Printable worksheet
- 5,678,901 to nearest million
- 4,321,000 to nearest 100,000
- 7,450,000 to nearest million
- 1,234,567 to nearest 10,000
- 9,999,999 to nearest million
Homework
Round five numbers from a newspaper to the nearest million.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 5,678,901 to nearest million | 6,000,000 | 2 |
| 4,321,000 to nearest 100,000 | 4,300,000 | 2 |
| 7,450,000 to nearest million | 7,000,000 | 2 |
| 1,234,567 to nearest 10,000 | 1,230,000 | 2 |
| 9,999,999 to nearest million | 10,000,000 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 6,000,000; 2 4,300,000; 3 7,000,000; 4 1,230,000; 5 10,000,000.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, challenge C.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Identify 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 to ten thousand, hundred thousand and million | 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 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 |
Proposed Courseversity thresholds for this page: Bronze = at least 3 of 5 core questions correct; Silver = all 5; Gold = all 5 plus the challenge. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Rounding down because the digit is in the middle. 5 or more rounds up.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Round 5-digit numbers.
- 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.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: identify the rounding place; look at the next digit; round to ten thousand, hundred thousand and million; use rounding to estimate.
Prerequisite knowledge. Lessons 1 to 4.
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. 35–45 minutes.
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. 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.
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 because the digit is in the middle. 5 or more rounds up.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 10-mark scheme and all answers are in the answer key above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Round 5-digit numbers. 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.