Place Value to Millions
Understanding place value, millions, and how to read large numbers
1. Understanding One Million
How Big is One Million?
Let's count by hundred thousands to reach one million!
Counting by Hundred Thousands:
10 hundred thousands = 1,000,000 (one million)
Key Fact:
10 × 100,000 = 1,000,000
We read 1,000,000 as "one million"
Real-World Examples of One Million:
- • Singapore has about 6,000,000 people: that is 6 times one million
- • If you saved $1 every day, it would take about 2,740 years to save one million dollars!
- • One million seconds is about 11.6 days
2. Place Value Chart
Understanding Place Values
Each digit in a number has a place value. The position tells us how much the digit is worth.
Place Value Chart for One Million:
| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
One million has 7 digits: 1 followed by 6 zeros
💡 Tip: Using Commas to Read Numbers
Large numbers are easier to read when we put commas (or gaps) every 3 digits, counting from the right:
The commas separate millions, thousands, and hundreds/tens/ones
3. Reading Large Numbers
Example: Reading 3,964,127
| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|
| 3 | 9 | 6 | 4 | 1 | 2 | 7 |
In words: Three million, nine hundred and sixty-four thousand, one hundred and twenty-seven
Steps to Read Large Numbers:
- Start from the left (the biggest place value)
- Read the millions part first, then say "million"
- Read the thousands part, then say "thousand"
- Read the hundreds, tens, and ones
Worked Examples
Example 1: Reading 5,230,418
Read the number 5,230,418
Step 1: Identify the millions: 5 million
Step 2: Read the thousands: 230 thousand
(two hundred and thirty thousand)
Step 3: Read the rest: 418
(four hundred and eighteen)
Answer: Five million, two hundred and thirty thousand, four hundred and eighteen
Example 2: Writing 7,005,060 in Expanded Form
Write 7,005,060 in expanded form
Identify each digit's value:
7 in millions place = 7,000,000
0 in hundred thousands = 0
0 in ten thousands = 0
5 in thousands place = 5,000
0 in hundreds place = 0
6 in tens place = 60
0 in ones place = 0
Expanded form:
7,000,000 + 5,000 + 60
Practice Problems
1. What is the value of the digit 4 in each number?
a) 4,321,000
b) 2,400,000
c) 5,234,567
ShowHide solutions
a) 4 is in the millions place → 4,000,000 (four million)
b) 4 is in the hundred thousands place → 400,000 (four hundred thousand)
c) 4 is in the thousands place → 4,000 (four thousand)
2. Write these numbers in words:
a) 2,360,500
b) 8,007,090
c) 6,500,003
ShowHide solutions
a) Two million, three hundred and sixty thousand, five hundred
b) Eight million, seven thousand and ninety
c) Six million, five hundred thousand and three
Key Takeaways
- 10 hundred thousands make one million (1,000,000)
- One million has 7 digits: 1 followed by 6 zeros
- Place values from right to left: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions
- Use commas or spaces every 3 digits to make numbers easier to read
- When reading, start from the left (biggest place value first)
- Expanded form shows each digit's value added together