Class 3 Maths Chapter 2 opens the door to the exciting world of addition. Building on what students already know about adding small numbers, this chapter teaches them how to combine numbers confidently, use number bonds, and add larger amounts using step-by-step methods. Addition is everywhere, in counting sweets, joining teams on the playground, adding marks in a test, or totalling money while shopping. This friendly guide explains every concept from the chapter in simple language, with clear examples, fun real-life connections, helpful tips, and free printable worksheets at the end to practise and master addition.
In Class 2, we learnt addition without regrouping where digits in each column add up to less than 10 and nothing needs to be carried.
Example: Add 203 and 491
H T O
2 0 3
+ 4 9 1
---------
6 9 4
Ones: 3 + 1 = 4
Tens: 0 + 9 = 9
Hundreds: 2 + 4 = 6
Simple and clean. No carrying needed. Now it's time to explore addition with carry forward and see how it makes adding larger numbers easier.
Regrouping (carrying over) happens when digits in a column add up to 10 or more. The key rule to remember:
Always start adding from the ones place, then move to the tens place, and then to the hundreds place.
Example 1: Add 203 and 7
H T O
1
2 0 3
+ 7
---------
Step 1: Ones place: 3 + 7 = 10. Write 0 in the ones place. Carry 1 to the tens place.
Step 2: Tens place: 1 + 0 = 1. Write 1 in the tens place.
Step 3: Hundreds place: Bring down 2.
H T O
1
2 0 3
+ 7
---------
2 1 0
203 + 7 = 210
Example 2: Add 267 and 54
H T O
1 1
2 6 7
+ 5 4
---------
Step 1: Ones place: 7 + 4 = 11. Write 1 in the ones place. Carry 1 to the tens place.
Step 2: Tens place: 1 + 6 + 5 = 12. Write 2 in the tens place. Carry 1 to the hundreds place.
Step 3: Hundreds place: 1 + 2 = 3. Write 3 in the hundreds place.
H T O
1 1
2 6 7
+ 5 4
---------
3 2 1
267 + 54 = 321
Example 1: Add 328 and 235
H T O
1
3 2 8
+ 2 3 5
---------
Step 1: Ones place: 8 + 5 = 13. Write 3 in the ones place. Carry 1 to the tens place.
Step 2: Tens place: 1 + 2 + 3 = 6. Write 6 in the tens place. No carry needed.
Step 3: Hundreds place: 3 + 2 = 5. Write 5 in the hundreds place.
H T O
1
3 2 8
+ 2 3 5
---------
5 6 3
328 + 235 = 563
Example 1: Add 455 + 259 + 135
H T O
1 1
4 5 5
2 5 9
+ 1 3 5
---------
Step 1: Ones place: 5 + 9 + 5 = 19. Write 9 in the ones place. Carry 1 to the tens place.
Step 2: Tens place: 1 + 5 + 5 + 3 = 14. Write 4 in the tens place. Carry 1 to the hundreds place.
Step 3: Hundreds place: 1 + 4 + 2 + 1 = 8. Write 8 in the hundreds place.
H T O
1 1
4 5 5
2 5 9
+ 1 3 5
---------
8 4 9
455 + 259 + 135 = 849
The Class 3 textbook introduces some very useful ‘facts’ or rules about addition.
Fact 1: Adding 1
When we add 1 to any number, we get the very next number (the number that comes just after it).
259 + 1 = 260
1 + 999 = 1,000
Fact 2: Adding 100
When we add 100 to any number, only the digit in the hundreds place increases by 1. The rest stays the same.
952 + 100 = 1,052
741 + 100 = 841
Fact 3: Order of Addition (Commutative Property)
Two or more numbers added in any order always give the same sum. So the order doesn't matter.
195 + 140 = 140 + 195 = 335
356 + 409 + 227 = 227 + 356 + 409 = 992
Problem 1: There were 436 passengers on a train. At a station, 25 more passengers boarded. How many passengers are there on the train now?
Solution:
H T O
1
4 3 6
+ 2 5
---------
4 6 1
There are 461 passengers on the train now.
Problem 2: In a garden, there are 345 rose plants. The gardener planted 57 more plants. How many plants are there in the garden now?
Solution:
H T O
1
3 4 5
+ 5 7
---------
4 0 2
There are 402 plants in the garden now.
Problem 3: In a library, there are 269 storybooks, 454 Science books, and 328 History books. How many books are there in all?
Solution:
H T O
1 1
2 6 9
4 5 4
+ 3 2 8
---------
1 0 5 1
There are 1,051 books in the library in all.
Problem 4: There are 743 girls and 658 boys in a school. How many students are there in total?
Solution:
Th H T O
1 1
7 4 3
+ 6 5 8
----------
1 4 0 1
There are 1,401 students in the school.
Problem 5: A baker sold 563 cupcakes on Monday. On Tuesday, he sold 67 more cupcakes than he sold on Monday. How many cupcakes did the baker sell on Tuesday?
Solution: Cupcakes sold on Tuesday = 563 + 67
H T O
1
5 6 3
+ 6 7
---------
6 3 0
The baker sold 630 cupcakes on Tuesday.
Here's a set of questions for practice. Solve them in a notebook with proper column layout.
Regrouping means when the sum of digits in a column is 10 or more, we write the ones digit of the sum in that column and carry the tens digit to the next column on the left. For example, 8 + 5 = 13, write 3, carry 1.
Addends are the numbers being added. The sum is the result. In 328 + 235 = 563, the addends are 328 and 235, and the sum is 563.
When we add 100 to a number, only the hundreds digit increases by 1. For example, 741 + 100 = 841.
Friends of ten are multiples of 10 , like 10, 20, 30, and so on.
999 + 999 = 1,998. So the maximum sum of two 3-digit numbers is a 4-digit number.
Starting from the ones place ensures that any carry generated is correctly passed on to the next column.
Numbers can be added in any order and the sum remains the same. For example, 195 + 140 = 140 + 195 = 335.
Admissions Open for 2026-27
Admissions Open for 2026-27
CBSE Schools In Popular Cities