Place Value of 3-Digit Numbers (Grade 2)
Place value of 3-digit numbers tells us the value of each digit based on its position. A 3-digit number has three places: Hundreds (H), Tens (T), and Ones (O).
For example, in the number 354, the digit 3 is in the hundreds place, 5 is in the tens place, and 4 is in the ones place.
What is Place Value of 3-Digit Numbers - Class 2 Maths (Place Value)?
Every digit in a 3-digit number has a place and a value.
| Place | Hundreds (H) | Tens (T) | Ones (O) |
|---|---|---|---|
| Digit in 354 | 3 | 5 | 4 |
| Value | 300 | 50 | 4 |
Place value = the value a digit gets because of its position.
- The digit 3 is in the hundreds place, so its value is 300.
- The digit 5 is in the tens place, so its value is 50.
- The digit 4 is in the ones place, so its value is 4.
Place Value of 3-Digit Numbers (Grade 2) Formula
Number = Hundreds + Tens + Ones
354 = 300 + 50 + 4
Solved Examples
Example 1: Find the Place Value
Question: What is the place value of 7 in 273?
Think:
| H | T | O |
|---|---|---|
| 2 | 7 | 3 |
- 7 is in the tens place
- Place value of 7 = 70
Answer: The place value of 7 in 273 is 70.
Example 2: Write in Expanded Form
Question: Write 486 in expanded form.
Think:
- Hundreds: 4 → 400
- Tens: 8 → 80
- Ones: 6 → 6
Answer: 486 = 400 + 80 + 6
Example 3: Form the Number
Question: What number is 500 + 30 + 9?
Think:
- Hundreds = 5
- Tens = 3
- Ones = 9
Answer: 500 + 30 + 9 = 539
Example 4: Face Value vs Place Value
Question: In the number 625, what is the face value and place value of 6?
Think:
- Face value of 6 = 6 (the digit itself)
- 6 is in the hundreds place
- Place value of 6 = 600
Answer: Face value = 6, Place value = 600
Example 5: Word Problem — Stickers
Question: Ria has 347 stickers. How many hundreds, tens, and ones are there?
Think:
- 3 hundreds = 300 stickers
- 4 tens = 40 stickers
- 7 ones = 7 stickers
Answer: 3 hundreds, 4 tens, and 7 ones
Example 6: Which Digit is in the Tens Place?
Question: In 158, which digit is in the tens place?
Think:
| H | T | O |
|---|---|---|
| 1 | 5 | 8 |
Answer: The digit in the tens place is 5.
Example 7: Place Value of Zero
Question: What is the place value of 0 in 307?
Think:
- 0 is in the tens place
- Place value of 0 = 0 (zero tens = 0)
Answer: The place value of 0 in 307 is 0.
Key Points to Remember
- A 3-digit number has Hundreds, Tens, and Ones places.
- The hundreds place has the highest value in a 3-digit number.
- Place value depends on where the digit sits. The same digit 5 has different values: 500 (hundreds), 50 (tens), or 5 (ones).
- Expanded form shows a number as the sum of place values: 486 = 400 + 80 + 6.
- The face value of a digit is the digit itself, regardless of its position.
Practice Problems
- What is the place value of 8 in 835?
- Write 679 in expanded form.
- What number is 200 + 40 + 1?
- In 502, which digit is in the tens place? What is its place value?
- Aman has a number with 4 hundreds, 0 tens, and 6 ones. What is the number?
- What is the place value of 9 in 190?
Frequently Asked Questions
Q1. What is place value?
Place value is the value a digit has because of its position in a number. In 352, the digit 3 has a place value of 300 because it is in the hundreds place.
Q2. What are the three places in a 3-digit number?
The three places are Hundreds (H), Tens (T), and Ones (O). The hundreds place is on the left, and the ones place is on the right.
Q3. What is the difference between face value and place value?
Face value is the digit itself. Place value depends on the position. For 5 in 523: face value is 5, place value is 500.
Q4. What is expanded form?
Expanded form breaks a number into the sum of its place values. For example, 476 = 400 + 70 + 6.
Q5. What is the place value of 0 in a number?
The place value of 0 is always 0, no matter where it appears. In 205, the 0 in the tens place has a value of 0.
Q6. What is the biggest 3-digit number?
The biggest 3-digit number is 999. It has 9 hundreds (900), 9 tens (90), and 9 ones (9).
Q7. What is the smallest 3-digit number?
The smallest 3-digit number is 100. It has 1 hundred, 0 tens, and 0 ones.
