Lesson

Numbers beyond 100,000

Primary EducationGrade 4MathematicsCV-PRI-G04-MATH-NUM-U01-L0245–60 min

You will learn

  • Read and write numbers up to 1,000,000.
  • Know that 1,000,000 is 10 hundred-thousands.
  • Count in 100,000s.
  • Use commas in six-digit numbers.

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

The lesson in 60 seconds

  1. 100,000 is ten ten-thousands.
  2. 1,000,000 is ten hundred-thousands.
  3. Count in hundred-thousands.
  4. Use commas in six-digit numbers.

Words to know

million
1,000,000, one thousand thousands.
hundred thousand
100,000.
six-digit number
A number from 100,000 to 999,999.
comma
Marks the groups of three digits.

1. Discover: a city population

A city has 250,000 people. How many hundred-thousands is that? How many more people would make a million?

2. Understand: six-digit numbers and one million

After 99,999 comes 100,000. Ten hundred-thousands make 1,000,000 (one million).

  • 250,000 is two hundred fifty thousand.
  • Count in 100,000s: 100,000; 200,000; 300,000 … 900,000; 1,000,000.
  • 1,000,000 − 250,000 = 750,000.

Idea 1: Million

10 hundred-thousands make 1,000,000, one million. A million has 6 zeros.

Idea 2: Read and write

600,000 is six hundred thousand. Four hundred six thousand is 406,000.

Idea 3: Count

300,000; 400,000; 500,000. One million minus 100,000 is 900,000.

Why a million? It is the next big place after hundred-thousands.

Remember: Ten hundred-thousands make one million.

3. Worked examples

Example 1 (I show you): Words

Write 600,000 in words.

  1. 6 hundred thousands.

Answer: six hundred thousand

Example 2 (We do it together): Digits

Four hundred six thousand

  1. 406 thousands.

Answer: 406,000

Example 3 (You try): Count

300,000; 400,000; __

Show the steps and answer
  1. Add 100,000.

Answer: 500,000

Did you know?

One million seconds is about 11 and a half days.

Why this matters

Millions describe populations and big distances.

4. Explore: count to a million

You need paper and a pencil.

  1. Count in 100,000s to 1,000,000.
  2. Write 250,000 in words.
  3. Write four hundred six thousand in digits.
  4. Find 1,000,000 − 250,000.
Think about it: what did you notice?

406,000; 750,000.

5. Practise

Say it in a sentence

Use these starters when you talk about the lesson. Say them out loud.

  • In words it is ___.
  • In digits it is ___.
  • Counting on 100,000 gives ___.
  • A million has ___ zeros.

Guided practice

Question 1. What comes after 99,999?

100,000.

Question 2. How many hundred-thousands make a million?

10.

Question 3. 1,000,000 − 250,000?

750,000.

Independent practice

Level 1: Start

  1. Write 600,000 in words
  2. Write four hundred six thousand
  3. Count: 300,000, 400,000, __
  4. Hundred-thousands in 900,000
  5. One million minus 100,000

Level 2: Grow

  1. Write 300,000 in words
  2. Write two hundred forty thousand in digits
  3. Count: 100,000; 200,000; __

Level 3: Stretch

  1. Hundred-thousands in 600,000
  2. 1,000,000 − 400,000
  3. Kofi writes five hundred thousand as 5,000. What is wrong?

Answers are in the answer key below. Try first, then check.

6. Apply: everyday mathematics

A town has 480,000 people. How many more would make 500,000?

Show a sample answer

20,000.

Another one. Write 345,678 in words.

Show a sample answer

three hundred forty-five thousand, six hundred seventy-eight

7. Common mistakes

Mistake: Writing a million as 100,000.
Fix: A million has six zeros.
Another mistake: Missing a zero in six-digit numbers.
Fix: Six digits need three digits after the comma.
Another mistake: Thinking a million has five zeros.
Fix: A million has six zeros.

8. Lesson summary and revision card

I can…

  • I can read and write numbers up to 1,000,000.
  • I know 1,000,000 is 10 hundred-thousands.
  • I can count in 100,000s.
  • I can use commas in six-digit numbers.

9. Check and master

Answer all 14 questions. You will see feedback after each one.

1. 10 hundred-thousands make…

2. Four hundred six thousand is…

3. 300,000, 400,000, …

4. 1,000,000 − 100,000 =

5. A million has how many zeros?

6. 700,000; 800,000; __

7. Five hundred twelve thousand is…

8. 200,000 is how many hundred-thousands?

9. 1,000,000 − 1 =

10. Eight hundred thousand, five hundred is…

11. One million is how many thousands?

12. A city has 950,000 people. How many more make 1,000,000?

Challenge 1. A town has 480,000 people. How many more make 500,000?

Challenge 2. 1,000,000 − 250,000 =

Your result appears here after you answer every question.

10. Key takeaways

  • 100,000 comes after 99,999.
  • A million has six zeros.
  • Count in 100,000s.

11. Next lesson

Next lesson: Place value. 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.

  1. 10 hundred-thousands make how many? [1 mark]
  2. Write four hundred six thousand in digits. [1 mark]
  3. Count on: 300,000; 400,000; __. [1 mark]
  4. Find 1,000,000 − 100,000. [2 marks]
  5. Ana says a million has five zeros. Is she right? Explain. [3 marks]

Total: 8 marks.

Marking guide and model answers
  1. 1,000,000 [1]
  2. 406,000 [1]
  3. 500,000 [1]
  4. 10 × 100,000 − 100,000 [1]; 900,000 [1]
  5. No [1]. 1,000,000 has digits 1 and then 6 zeros [1]. A million has 6 zeros [1].

Score guide: 7 to 8 = secure. 5 to 6 = nearly there, revise the parts you missed. Under 5 = work through the lesson again with a grown-up.

Printable worksheet

  1. 600,000 in words
  2. Four hundred six thousand
  3. 300,000, 400,000, __
  4. Hundred-thousands in 900,000
  5. 1,000,000 − 100,000
  6. 10 hundred-thousands make ___.
  7. Four hundred six thousand in digits:
  8. 300,000; 400,000; ___
  9. 1,000,000 − 100,000 =
  10. A million has ___ zeros.

Homework

Find a country or city with about one million people.

Answer key and marking scheme

Question Expected response Marks
600,000 in words six hundred thousand 2
Four hundred six thousand 406,000 2
300,000, 400,000, __ 500,000 2
Hundred-thousands in 900,000 9 2
1,000,000 − 100,000 900,000 2
Total 10

Practice answers: Worksheet: 1 six hundred thousand; 2 406,000; 3 500,000; 4 9; 5 900,000.

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 1,000,000; 7 406,000; 8 500,000; 9 900,000; 10 6.

Independent practice answers. Level 1: 1 six hundred thousand; 2 406,000; 3 500,000; 4 9; 5 900,000. Level 2: 1 three hundred thousand; 2 240,000; 3 300,000. Level 3: 1 6; 2 600,000; 3 It needs six digits: 500,000..

Mastery and remediation

Objective Bronze (Developing) Silver (Proficient) Gold (Advanced)
O1 Read and write numbers up to 1,000,000 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
O2 Know that 1,000,000 is 10 hundred-thousands 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 Count in 100,000s 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 commas in six-digit numbers 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

  1. Find the misconception: Writing a million as 100,000. A million has six zeros.
  2. Explain another way: use real objects first, then pictures.
  3. Show a simpler example: Practise counting in 10,000s.
  4. Guided practice: work through one example together and let the learner try the next one.
  5. Reassess: use the quiz again or the worksheet.
  6. Move on when the learner shows Silver-level evidence independently.

For parents and guardians

In this lesson your child reads, writes and counts numbers up to a million. You do not need to be good at mathematics to help.

  • Find numbers in the millions in the news.
  • Ask: how many zeros?
  • Count in 100,000s together.
  • 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: read and write numbers up to 1,000,000; know that 1,000,000 is 10 hundred-thousands; count in 100,000s; use commas in six-digit numbers.

Prerequisite knowledge. Lesson 1.

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. How many hundred-thousands? Where are the commas? How many zeros?

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. Writing a million as 100,000. A million has six zeros.

13–15. Assessment questions, answer keys, marking scheme

Use the quiz and worksheet on this page. The 8-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. Practise counting in 10,000s. 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.2 (numbers to 1,000,000); Cambridge Primary Mathematics Stage 4 (place value). These sources informed the lesson; no official alignment is claimed.

Scroll to Top