DAV Board Class 3 Mathematics (Primary Mathematics) | 100% Authentic Textbook Solutions
DAV Class 3 Maths Unit 2 Solutions Addition
Get complete, step-by-step textbook solutions for DAV Class 3 Primary Mathematics Unit 2: Addition. This unit covers all worksheets including addition without regrouping, addition with regrouping (carrying over), adding three addends, properties of addition (order property & zero property), and real-life statement word problems strictly aligned with the DAV CMC curriculum.
| Class | Subject | Textbook | Unit Number & Title | Key Mathematical Concepts |
|---|---|---|---|---|
| Class 3 | Mathematics | Primary Mathematics | Unit 2: Addition | 4-digit addition, regrouping (carrying), properties of addition, word problems |
Worksheet 1: Addition Without Regrouping (Carrying)
Method: Arrange numbers in columns of Thousands (Th), Hundreds (H), Tens (T), and Ones (O). Always start adding from the Ones column, then Tens, Hundreds, and finally Thousands.
| Problem | Working in Columns (Th H T O) | Step-by-Step Calculation | Final Sum |
|---|---|---|---|
| (a) $4231 + 3524$ |
4 2 3 1 + 3 5 2 4 ——— 7 7 5 5 |
• Ones: $1 + 4 = 5$ • Tens: $3 + 2 = 5$ • Hundreds: $2 + 5 = 7$ • Thousands: $4 + 3 = 7$ | 7755 |
| (b) $6042 + 2715$ |
6 0 4 2 + 2 7 1 5 ——— 8 7 5 7 |
• Ones: $2 + 5 = 7$ • Tens: $4 + 1 = 5$ • Hundreds: $0 + 7 = 7$ • Thousands: $6 + 2 = 8$ | 8757 |
| (c) $5130 + 3826$ |
5 1 3 0 + 3 8 2 6 ——— 8 9 5 6 |
• Ones: $0 + 6 = 6$ • Tens: $3 + 2 = 5$ • Hundreds: $1 + 8 = 9$ • Thousands: $5 + 3 = 8$ | 8956 |
Worksheet 2: Addition With Regrouping (Carrying Over)
Rule: If the sum of digits in any column is 10 or more, write the ones digit in the answer and carry over the tens digit to the next higher place on the left.
| Problem | Column Addition (with Carries) | Detailed Working Steps | Final Sum |
|---|---|---|---|
| (a) $3856 + 2478$ |
(1)(1)(1) [Carries] 3 8 5 6 + 2 4 7 8 ——— 6 3 3 4 |
• Ones: $6 + 8 = 14$ (Write 4, carry 1) • Tens: $1 + 5 + 7 = 13$ (Write 3, carry 1) • Hundreds: $1 + 8 + 4 = 13$ (Write 3, carry 1) • Thousands: $1 + 3 + 2 = 6$ | 6334 |
| (b) $5689 + 3745$ |
(1)(1)(1) [Carries] 5 6 8 9 + 3 7 4 5 ——— 9 4 3 4 |
• Ones: $9 + 5 = 14$ (Write 4, carry 1) • Tens: $1 + 8 + 4 = 13$ (Write 3, carry 1) • Hundreds: $1 + 6 + 7 = 14$ (Write 4, carry 1) • Thousands: $1 + 5 + 3 = 9$ | 9434 |
| (c) $4782 + 1859$ |
(1)(1)(1) [Carries] 4 7 8 2 + 1 8 5 9 ——— 6 6 4 1 |
• Ones: $2 + 9 = 11$ (Write 1, carry 1) • Tens: $1 + 8 + 5 = 14$ (Write 4, carry 1) • Hundreds: $1 + 7 + 8 = 16$ (Write 6, carry 1) • Thousands: $1 + 4 + 1 = 6$ | 6641 |
Worksheet 3: Properties of Addition
- 1. Order Property (Commutative): The sum of two numbers remains the same even if the order of addends is changed.
Example: $456 + 230 = 230 + 456 = mathbf{686}$ - 2. Zero Property: When 0 is added to any number, the sum is the number itself.
Example: $7895 + 0 = mathbf{7895}$ - 3. Grouping Property: The sum of three numbers does not change even if their grouping is changed.
Example: $(15 + 25) + 30 = 40 + 30 = 70$; and $15 + (25 + 30) = 15 + 55 = mathbf{70}$
Worksheet 4: Word Problems on Addition (With Proper Statements)
Problem 1: In a school library, there are 2,450 English books and 3,180 Hindi books. How many books are there in all?
Solution:
Number of English books = 2450
Number of Hindi books = 3180
Total number of books in the library = $2450 + 3180$
2 4 5 0
+ 3 1 8 0
———
5 6 3 0
Answer: There are 5,630 books in all in the school library.
Problem 2: A fruit seller sold 1,250 apples on Monday and 1,875 apples on Tuesday. How many apples did he sell on both days together?
Solution:
Apples sold on Monday = 1250
Apples sold on Tuesday = 1875
Total apples sold = $1250 + 1875$
1 2 5 0
+ 1 8 7 5
———
3 1 2 5
Answer: The fruit seller sold 3,125 apples on both days together.
Problem 3: In a town, there are 4,325 men, 3,890 women, and 1,650 children. Find the total population of the town.
Solution:
Number of men = 4325
Number of women = 3890
Number of children = 1650
Total population = $4325 + 3890 + 1650$
(1)(1)
4 3 2 5
3 8 9 0
+ 1 6 5 0
———
9 8 6 5
Answer: The total population of the town is 9,865.
Quick Navigation Links: