Numbers up to 200
In Class 1, you learned to count and work with numbers up to 100. Now in Class 2, we go further and explore numbers up to 200. This is an exciting step because it introduces 3-digit numbers for the first time.
Numbers from 100 to 200 have three digits: a hundreds digit, a tens digit, and an ones digit. For all numbers between 100 and 199, the hundreds digit is always 1. The number 200 has a hundreds digit of 2.
Learning to count, read, write, and understand numbers up to 200 builds the foundation for working with even larger numbers in higher classes. It also connects to real life — you might have 150 pages in a book, 120 students in your school, or 175 beads in a craft box.
In this lesson, you will learn how to read and write numbers from 100 to 200 using place value, how to skip count through them, and how to find the number that comes before, after, or between given numbers.
What is Numbers up to 200 - Class 2 Maths (Numbers up to 200)?
Numbers up to 200 include all counting numbers from 1 to 200.
Numbers from 1 to 9 are 1-digit numbers. Numbers from 10 to 99 are 2-digit numbers. Numbers from 100 to 200 are 3-digit numbers.
Place value chart for 3-digit numbers:
| Hundreds (H) | Tens (T) | Ones (O) | Number | Read As |
|---|---|---|---|---|
| 1 | 0 | 0 | 100 | One hundred |
| 1 | 2 | 5 | 125 | One hundred and twenty-five |
| 1 | 5 | 0 | 150 | One hundred and fifty |
| 1 | 7 | 8 | 178 | One hundred and seventy-eight |
| 2 | 0 | 0 | 200 | Two hundred |
Key facts:
- 100 is the first 3-digit number. It comes right after 99.
- 200 is the last number we study in this lesson.
- There are 101 numbers from 100 to 200 (including both).
Types and Properties
Ranges within numbers up to 200:
- 100 to 109: One hundred, one hundred and one, one hundred and two, … one hundred and nine. The tens digit is 0 in all these numbers.
- 110 to 119: One hundred and ten, one hundred and eleven, … one hundred and nineteen. These are the “teen” numbers after 100.
- 120 to 199: One hundred and twenty, one hundred and twenty-one, … one hundred and ninety-nine.
- 200: Two hundred. This is the only number in this range with 2 in the hundreds place.
Number line from 100 to 200 (by tens):
100 — 110 — 120 — 130 — 140 — 150 — 160 — 170 — 180 — 190 — 200
- By 1: 145, 146, 147, 148, 149, 150, 151…
- By 2: 100, 102, 104, 106, 108, 110…
- By 5: 100, 105, 110, 115, 120, 125…
- By 10: 100, 110, 120, 130, 140, 150…
Solved Examples
Example 1: Example 1: What comes after 99?
Question: What number comes just after 99?
Think:
- 99 is the largest 2-digit number
- When we add 1 to 99, we get the first 3-digit number
- 99 + 1 = 100
Answer: The number after 99 is 100 (one hundred). It is the first 3-digit number.
Example 2: Example 2: Count from 145 to 152
Question: Write the numbers from 145 to 152.
Think:
- Start at 145 and add 1 each time
- Be careful at 149 → 150 (the ones digit resets to 0 and tens digit increases)
Answer: 145, 146, 147, 148, 149, 150, 151, 152.
Example 3: Example 3: Place value of 163
Question: Write the place value of each digit in 163.
Think:
- 1 is in the hundreds place → value = 1 × 100 = 100
- 6 is in the tens place → value = 6 × 10 = 60
- 3 is in the ones place → value = 3 × 1 = 3
| Hundreds | Tens | Ones |
|---|---|---|
| 1 | 6 | 3 |
Answer: 163 = 100 + 60 + 3.
Example 4: Example 4: Ria’s sticker collection
Question: Ria has 100 stickers in a full album and 38 loose stickers. How many stickers does she have altogether?
Think:
- Full album stickers = 100
- Loose stickers = 38
- Total = 100 + 38 = 138
Answer: Ria has 138 stickers in all.
Example 5: Example 5: Skip count by 10 from 120 to 190
Question: Skip count by 10 starting from 120. Stop at 190.
Think:
- Start at 120, add 10 each time
- The ones digit stays 0, the tens digit increases by 1 each step
Answer: 120, 130, 140, 150, 160, 170, 180, 190.
Example 6: Example 6: What comes just before 200?
Question: What number comes just before 200?
Think:
- Just before means 1 less
- 200 − 1 = 199
Answer: The number just before 200 is 199.
Example 7: Example 7: Between two numbers
Question: What number comes between 109 and 111?
Think:
- The number between 109 and 111 is one more than 109
- 109 + 1 = 110
Answer: The number between 109 and 111 is 110.
Example 8: Example 8: Is 156 closer to 150 or 160?
Question: Is the number 156 closer to 150 or closer to 160?
Think:
- Distance from 150: 156 − 150 = 6
- Distance from 160: 160 − 156 = 4
- 4 is less than 6, so 156 is closer to 160
Answer: 156 is closer to 160 because the gap is only 4 (compared to 6 from 150).
Real-World Applications
Where do we see numbers up to 200 in real life?
- Books: Many storybooks have 100 to 200 pages. You can say, “I am on page 142.”
- Schools: A school might have 180 students in Class 2 across all sections.
- Money: If you have a ₹100 note and ₹50 more, you have ₹150.
- Height chart: A child who is 120 cm tall has a height that is a 3-digit number.
- Counting collections: A bead box might have 165 beads.
Key Points to Remember
- Numbers from 100 to 200 are 3-digit numbers with a hundreds, tens, and ones place.
- 100 is the first 3-digit number. It comes right after 99 (99 + 1 = 100).
- 200 = two hundred. It has 2 in the hundreds place.
- Every number from 100 to 199 starts with the digit 1 in the hundreds place.
- You can skip count by 2, 5, or 10 through these numbers, just like with smaller numbers.
- To read a 3-digit number, say the hundreds part first, then “and,” then the tens-and-ones part. Example: 137 = “one hundred and thirty-seven.”
- There are 101 numbers from 100 to 200 (including both endpoints).
Practice Problems
- Write the numbers from 117 to 125.
- What number comes just after 169?
- Skip count by 10 from 100 to 200.
- Aman has 154 marbles. How many hundreds, tens, and ones are in 154?
- What number comes between 189 and 191?
- Write the expanded form of 176.
Frequently Asked Questions
Q1. What is the smallest 3-digit number?
The smallest 3-digit number is 100. It has 1 hundred, 0 tens, and 0 ones. It comes right after 99, which is the largest 2-digit number.
Q2. How many numbers are there from 100 to 200?
There are 101 numbers from 100 to 200 (including both 100 and 200). You can count: 100, 101, 102, …, 199, 200.
Q3. How do I read numbers like 137?
Read it as “one hundred and thirty-seven.” Break it into parts: 100 (one hundred) + 30 (thirty) + 7 (seven). Always start with the hundreds, then say “and,” then the tens and ones.
Q4. What is the difference between a 2-digit and 3-digit number?
A 2-digit number has only tens and ones places (10 to 99). A 3-digit number also has a hundreds place (100 to 999). Numbers up to 200 are the first set of 3-digit numbers children learn in Class 2.
Q5. Is 200 a 3-digit number?
Yes. 200 has 3 digits: 2 in the hundreds place, 0 in the tens place, and 0 in the ones place. It is the last number studied in this topic.
Q6. How do I count backward from 200?
Start at 200 and subtract 1 each time: 200, 199, 198, 197, 196… You can also count backward by 10: 200, 190, 180, 170, 160… or by 5: 200, 195, 190, 185…
Q7. Why is the number after 199 called two hundred?
199 has 1 hundred, 9 tens, and 9 ones. Adding 1 more gives 200, which is 2 hundreds, 0 tens, and 0 ones. The hundreds digit changes from 1 to 2.
Q8. How do 3-digit numbers connect to place value?
3-digit numbers use the same place value system as 2-digit numbers, with an extra hundreds place. For 163: the 1 means 100, the 6 means 60, and the 3 means 3. So 163 = 100 + 60 + 3.
