PLACE VALUE
In mathematics, every digit in a number has a place value.
- Place value is the value represented by a digit based on its position in a number.
- A place value chart helps us to find and compare the place value of digits in numbers up to millions.
- Moving left on a place value chart multiplies the value by 10.
- Moving right on a place value chart divides the value by 10.
Place Value Chart
Hundreds of Millions100,000,000
Tens of Millions10,000,000
Millions1,000,000
Hundreds of Thousands100,000
Tens of Thousands10,000
Thousands1,000
Hundreds100
Tens10
Ones1
×10 ← (Move Left)
÷10 → (Move Right)
Current Value:
1
TOTAL VALUE
The total value of a digit is the product of the digit and its place value.
Total value = Digit × Place value
Interactive Place Value Exploration
Use the slider and selector below to see how changing the digit and its position affects the total value.
Digit: 5
Place Value: Ones
Total Value: 5
Example 1.1
State the place value and total value of the digits shown in bold. Then write the number in words.
(a) 563 578 903
| Hundreds of Millions | Tens of Millions | Millions | Hundreds of Thousands | Tens of Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|---|---|
| 5 | 6 | 3 | 5 | 7 | 8 | 9 | 0 | 3 |
- The digit 6 is in the tens of millions place.
- Total value = 6 × 10,000,000 = 60,000,000
Number in words:
Five hundred and sixty three million, five hundred and seventy eight thousand, nine hundred and three.
(b) 256 781 105
| Hundreds of Millions | Tens of Millions | Millions | Hundreds of Thousands | Tens of Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|---|---|
| 2 | 5 | 6 | 7 | 8 | 1 | 1 | 0 | 5 |
- The digit 8 is in the tens of thousands place.
- Total value = 8 × 10,000 = 80,000
Number in words:
Two hundred and fifty six million, seven hundred and eighty one thousand, one hundred and five.
Watch video for the example 1.1
Exercise 1.1 – Find the place value and total value of the digits in red, write the numbers in words.
1(a) Place Value: What is the place value of the red digit in 978 361 306?
Place value: Millions
Total value: 8 × 1,000,000 = 8,000,000
Number in words: Nine hundred and seventy eight million, three hundred and sixty one thousand, three hundred and six
1(b) Place Value: What is the place value of the red digit in 568 230 163?
Place value: Ten thousands
Total value: 3 × 10,000 = 30,000
Number in words: Five hundred and sixty eight million, two hundred and thirty thousand, one hundred and sixty three
1(c) Place Value: What is the place value of the red digit in 137 856 635?
Place value: Hundred millions
Total value: 1 × 100,000,000 = 100,000,000
Number in words: One hundred and thirty seven million, eight hundred and fifty six thousand, six hundred and thirty five
1(d) Place Value: What is the place value of the red digit in 632 502 763?
Place value: Hundred thousands
Total value: 5 × 100,000 = 500,000
Number in words: Six hundred and thirty two million, five hundred two thousand, seven hundred and sixty three
1(e) Place Value: What is the place value of the red digit in in 824 612 973?
Place value: Ten millions
Total value: 2 × 10,000,000 = 20,000,000
Number in words: Eight hundred and twenty four million, six hundred and twelve thousand, nine hundred and seventy three
1(f) Place Value: What is the place value of the red digit in 274 895 470?
Place value: Hundred thousands
Total value: 8 × 100,000 = 800,000
Number in words: Two hundred and seventy four million, eight hundred and ninety five thousand, four hundred and seventy