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P6 Mathematics - Term I

Topic 2: Whole Numbers

Lesson 1: Place Value and Seven-Digit Numbers

Duration: 45 minutes

Today's Learning Objectives for Place Value

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 Number Comes After 999,999?

If we add 1 to 999,999...

999,999 + 1 = 1,000,000

This number is called ONE MILLION!

Introducing the New Millions Place

Place value chart showing the millions column added to the left of hundred thousands

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

The Seven Place Values Listed

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

Pattern: Each Place is Ten Times Bigger

  • 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

Placing a Seven-Digit Number in the Chart

3,456,789

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

Place Value Versus Value Explained

In the number 3,456,789:

Digit Place Value Value
3 Millions 3,000,000
4 Hundred Thousands 400,000
6 Thousands 6,000
9 Ones 9

The Key Difference to Remember

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: Place These Numbers

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!

Checking Your Place Value Charts

2,345,678:

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

Each digit lines up in order from millions down to ones.

Checking a Chart with Zeros

5,012,340:

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

Notice the zeros still take up a column each.

Notice What the Zeros Are Doing

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.

How to Read Large Numbers Aloud

Reading: 4,567,890

Break it into groups:

  • 4 million
  • 567 thousand
  • 890

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

Practice Reading Two More Numbers

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 a Number from Its 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 These in Figures

Write these numbers:

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

  2. Five million, twenty thousand, three hundred

Checking the Figures You Wrote

  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

Where Large Numbers Show Up in Real Life

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

Large numbers are everywhere!

Quick Quiz: Find the Place Value

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

Think... then answer!

Answer: The Place Value of 7

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: Find the Value

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

Think... then answer!

Answer: The Value of 5

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: Write in Figures

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

The Answer: Writing the Figures Out

"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 Th. Ten Th. Thousands Hundreds Tens Ones
1,000,000 100,000 10,000 1,000 100 10 1

Key Vocabulary from Today's Lesson

  • 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

Tonight's Homework on Place Value

  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)

Next Lesson Preview: Expanded Form

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 on Place Value!

You learned:

  • Seven place values, ones to millions
  • How to find the value of any digit
  • How to read and write seven-digit numbers

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

Lesson Credits and Curriculum Source

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/

Click to begin the narrated lesson

Place Value and Seven-Digit Numbers