Introduction to 3-Digit Numbers
In Class 1, we learned numbers up to 100. Now in Class 2, we go beyond 100 and learn about 3-digit numbers. A 3-digit number has three places: hundreds, tens, and ones.
The smallest 3-digit number is 100 and the largest 3-digit number is 999. In this chapter, we focus on numbers up to 200.
What is Introduction to 3-Digit Numbers - Class 2 Maths (Numbers up to 200)?
A 3-digit number has three digits. Each digit has a place value:
| Hundreds (H) | Tens (T) | Ones (O) |
|---|---|---|
| 1 | 3 | 5 |
The number 135 means: 1 hundred + 3 tens + 5 ones = 100 + 30 + 5 = 135.
3-digit number = Hundreds + Tens + Ones
Types and Properties
Place values in a 3-digit number:
- Hundreds place: The first digit from the left. It tells how many hundreds.
- Tens place: The middle digit. It tells how many tens.
- Ones place: The last digit. It tells how many ones.
- 147 = 100 + 40 + 7
- 163 = 100 + 60 + 3
- 200 = 200 + 0 + 0
Solved Examples
Example 1: Example 1: Reading a 3-Digit Number
Question: What is the number with 1 hundred, 5 tens, and 2 ones?
Think:
- 1 hundred = 100
- 5 tens = 50
- 2 ones = 2
- 100 + 50 + 2 = 152
Answer: The number is 152.
Example 2: Example 2: Place Value
Question: In the number 176, what is the value of 7?
Think:
- 1 is in the hundreds place = 100
- 7 is in the tens place = 70
- 6 is in the ones place = 6
Answer: The value of 7 in 176 is 70.
Example 3: Example 3: Expanded Form
Question: Write 189 in expanded form.
Think:
- 1 hundred = 100
- 8 tens = 80
- 9 ones = 9
Answer: 189 = 100 + 80 + 9.
Example 4: Example 4: Writing from Expanded Form
Question: What number is 100 + 20 + 6?
Think:
- 100 → hundreds digit is 1
- 20 → tens digit is 2
- 6 → ones digit is 6
Answer: The number is 126.
Example 5: Example 5: What Comes After 100?
Question: What number comes just after 100?
Think:
- 100 + 1 = 101
Answer: 101 comes just after 100.
Example 6: Example 6: Counting by 10s After 100
Question: Count by 10s from 100 to 200.
Answer:
100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Example 7: Example 7: Comparing 3-Digit Numbers
Question: Which is bigger — 145 or 154?
Think:
- Both have 1 in the hundreds place
- Compare tens: 4 vs 5
- 5 > 4, so 154 > 145
Answer: 154 is bigger than 145.
Key Points to Remember
- A 3-digit number has hundreds, tens, and ones places.
- The smallest 3-digit number is 100. The largest is 999.
- Expanded form shows the value of each digit: 135 = 100 + 30 + 5.
- To compare 3-digit numbers, start from the hundreds digit, then tens, then ones.
- After 99 comes 100 — the first 3-digit number.
- After 199 comes 200.
Practice Problems
- Write the number with 1 hundred, 7 tens, and 3 ones.
- What is the place value of 5 in 156?
- Write 142 in expanded form.
- What number is 100 + 90 + 1?
- Which is bigger: 187 or 178?
- What number comes just before 200?
Frequently Asked Questions
Q1. What is a 3-digit number?
A 3-digit number has three digits. It has a hundreds place, a tens place, and a ones place. Examples: 100, 135, 200.
Q2. What is the smallest 3-digit number?
The smallest 3-digit number is 100.
Q3. What is the largest 3-digit number?
The largest 3-digit number is 999.
Q4. What is expanded form?
Expanded form shows the value of each digit separately. For example, 163 = 100 + 60 + 3.
Q5. How do I compare 3-digit numbers?
First compare the hundreds digit. If they are the same, compare the tens digit. If those are also the same, compare the ones digit.
Q6. What comes after 199?
200 comes after 199.
Q7. How do I read 3-digit numbers?
Read the hundreds digit first, then the remaining two-digit number. For example, 156 is read as 'one hundred fifty-six'.
