Uganda NCDC Lesson Plans

Place Value and Seven-Digit Numbers
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P6 Mathematics - Term I

Topic 2: Whole Numbers

Lesson 1: Place Value and Seven-Digit Numbers

Duration: 45 minutes

Learning Objectives

By the end of this lesson, you will be able to:

  • Identify place values up to millions
  • Find the value of any digit in a seven-digit number
  • Read and write numbers up to 9,999,999
  • Use a place value chart

Review: What Place Values Do You Know?

Let's recall from P5:

  • Ones (O)
  • Tens (T)
  • Hundreds (H)
  • Thousands (Th)
  • Ten Thousands (TTh)
  • Hundred Thousands (HTh)

Let's Look at This Number

456,789

HTh TTh Th H T O
4 5 6 7 8 9

Can you name each digit's place value?

What Comes After 999,999?

If we add 1 to 999,999...

999,999 + 1 = 1,000,000

This number is called ONE MILLION!

Introducing: MILLIONS

The millions place is the 7th position from the right.

The Seven Place Values

Position Name Short Value
1st Ones O 1
2nd Tens T 10
3rd Hundreds H 100
4th Thousands Th 1,000
5th Ten Thousands TTh 10,000
6th Hundred Thousands HTh 100,000
7th Millions M 1,000,000

Pattern: Each Place is ×10

  • 1 × 10 = 10
  • 10 × 10 = 100
  • 100 × 10 = 1,000
  • 1,000 × 10 = 10,000
  • 10,000 × 10 = 100,000
  • 100,000 × 10 = 1,000,000

Each place value is 10 times the one before it!

Let's Place a Number in the Chart

3,456,789

M HTh TTh Th H T O
3 4 5 6 7 8 9

Place Value vs. Value

In the number 3,456,789:

Digit Place Value Value
3 Millions 3,000,000
4 Hundred Thousands 400,000
5 Ten Thousands 50,000
6 Thousands 6,000
7 Hundreds 700
8 Tens 80
9 Ones 9

Important Difference!

Place Value = The NAME of the position

  • "The 4 is in the hundred thousands place"

Value = The actual AMOUNT

  • "The value of 4 is 400,000"

Your Turn: Practice

Place these numbers in your chart:

  1. 2,345,678
  2. 5,012,340
  3. 9,876,543

Draw the chart in your exercise book!

Answers

2,345,678:

M HTh TTh Th H T O
2 3 4 5 6 7 8

5,012,340:

M HTh TTh Th H T O
5 0 1 2 3 4 0

Notice the Zeros!

In 5,012,340:

  • The 0 in Hundred Thousands is a placeholder
  • The 0 in Ones is also a placeholder

Zeros are important! They hold the place even when there's nothing there.

Reading Large Numbers

How to Read: 4,567,890

Break it into groups:

  • 4 million
  • 567 thousand
  • 890

Say: "Four million, five hundred sixty-seven thousand, eight hundred ninety"

Let's Practice Reading

1,234,567
→ "One million, two hundred thirty-four thousand, five hundred sixty-seven"

7,000,005
→ "Seven million, five"

(We skip groups that are all zeros!)

Writing Numbers from Words

"Two million, three hundred forty-five thousand, six hundred seventy-eight"

M HTh TTh Th H T O
2 3 4 5 6 7 8

Answer: 2,345,678

Your Turn: Write in Figures

Write these numbers:

  1. Nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine

  2. Five million, twenty thousand, three hundred

Answers

  1. Nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine
    → 9,999,999

  2. Five million, twenty thousand, three hundred
    → 5,020,300

Finding the Value of a Digit

In the number 6,482,157:

  • What is the place value of 4? → Hundred Thousands

  • What is the value of 4? → 400,000

  • What is the place value of 8? → Ten Thousands

  • What is the value of 8? → 80,000

Real-Life Examples

Where do we see large numbers?

  • Uganda's population: About 45,000,000 people
  • A new car: About 80,000,000 shillings
  • School fees: About 2,500,000 shillings per term
  • Distance to Kenya: About 600 kilometers

Large numbers are everywhere!

Quick Quiz

Question 1:
What is the place value of 7 in 3,745,628?

Think... then answer!

Answer 1

3,745,628

M HTh TTh Th H T O
3 7 4 5 6 2 8

The 7 is in the Hundred Thousands place.

Quick Quiz

Question 2:
What is the VALUE of 5 in 2,567,890?

Think... then answer!

Answer 2

2,567,890

M HTh TTh Th H T O
2 5 6 7 8 9 0

The value of 5 is 500,000 (five hundred thousand).

Quick Quiz

Question 3:
Write in figures: "Three million, two hundred fifty thousand, four hundred six"

Answer 3

"Three million, two hundred fifty thousand, four hundred six"

M HTh TTh Th H T O
3 2 5 0 4 0 6

Answer: 3,250,406

Summary: The Seven Place Values

M HTh TTh Th H T O
Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones
1,000,000 100,000 10,000 1,000 100 10 1

Remember: Each place is 10 times the one before it!

Key Vocabulary

  • Place value - Position of a digit in a number
  • Value - The actual amount a digit represents
  • Digit - The symbols 0-9
  • Millions - The 7th place value (1,000,000)
  • Placeholder - Zero holding a position

Homework

  1. Draw a place value chart with all 7 places

  2. Find the value of the underlined digit:

    • 4,567,890
    • 2,345,678
    • 7,000,001

  3. Write in figures and in words (3 numbers each)

Time: 20-25 minutes

Next Lesson Preview

Tomorrow: Expanded Form

We will learn to write numbers like this:

3,456,789 = 3,000,000 + 400,000 + 50,000 + 6,000 + 700 + 80 + 9

This is called expanded form!

Great Work Today!

You learned:

  • ✅ Seven place values (ones to millions)
  • ✅ How to find the value of any digit
  • ✅ How to read and write seven-digit numbers
  • ✅ How to use a place value chart

The largest seven-digit number is: 9,999,999!

Credits

Created: November 30, 2025
Based on: NCDC P6 Mathematics Curriculum - Topic 2: Whole Numbers

Source: National Curriculum Development Centre (NCDC), Uganda

Available from: https://ncdc.go.ug/