What is Addition? An Easy Guide for Class 4 Students

Addition is a basic maths operation that helps us find the total when we put numbers together. It means combining two or more numbers to get a sum.

For example, if you have 5 apples and get 3 more, you can add:
5 + 3 = 8
So, you have 8 apples in total.

In Class 4, you will learn to add bigger numbers, including 3-digit and 4-digit numbers. You will also learn carrying (regrouping), which is used when the sum of digits is more than 9.

Table of Contents

• What is Addition?
• Addition of Two 4-Digit Numbers without Regrouping
• Addition of Two 4-Digit Numbers with Regrouping
• Addition of Two 4-Digit Numbers
• Solved Examples on Addition for Class 4
• Practice Questions on Addition for Class 4
• Addition Worksheet for Class 4

What is Addition?

Addition is a basic mathematical operation that combines two or more numbers to find their total sum. It is one of the four fundamental operations in arithmetic, along with subtraction, multiplication, and division.

When we add numbers together, we find out how many items we have in total. For example, if you have 3 apples and your friend gives you 5 more apples, addition helps us find that you now have 8 apples.

In addition, the numbers being added are called addends, and the result is called the sum. The symbol we use for addition is the plus sign (+).

Example: 25 + 15 = 40.

Addition of Two 4-Digit Numbers Without Regrouping

Addition without regrouping is when the sum of digits in each place value (ones, tens, hundreds, thousands) is less than 10. This means we do not need to carry any value to the next place.

1. Write both numbers one below the other, aligning them by place value.

2. Start adding from the rightmost column (ones place).

3. Move to the left and add the tens, then hundreds, then thousands.

4. Write the sum directly below each column.

Example of Addition Without Regrouping:

1 2 3 4

+ 5 1 2 3

-----------

6 3 5 7

In this example,

we added 4 + 3 = 7, then 3 + 2 = 5, then 2 + 1 = 3, and finally 1 + 5 = 6. No regrouping was needed.

Addition of Two 4-Digit Numbers With Regrouping

Addition with regrouping (also called carrying) happens when the sum of digits in any place value is 10 or more. We then carry the extra value to the next higher place.

Steps for addition with regrouping:

1. Write numbers one below the other, aligned by place value.

2. Start from the ones place on the right.

3. If the sum is 10 or more, write the ones digit below and carry the tens digit to the next column.

4. Continue this process for each column until you reach the thousands place.

5. Write the final sum in your answer.

Example of Addition With Regrouping:

Carry: 1 1

2 6 7 8

+ 3 9 5 7

-----------

6 6 3 5

Explanation: In the ones place: 8 + 7 = 15 (write 5, carry 1). In the tens place: 1 + 7 + 5 = 13 (write 3, carry 1). In the hundreds place: 1 + 6 + 9 = 16 (write 6, carry 1). In the thousands place: 1 + 2 + 3 = 6 (write 6).

Solved Examples on Addition for Class 4

Here are 10 solved examples of addition with 4-digit numbers to help you understand the concept better.

Example 1: 1234 + 3452 = ?

1 2 3 4

+ 3 4 5 2

-----------

4 6 8 6

Answer: 4686 (Addition without regrouping)

Example 2: 2567 + 1938 = ?

Carry: 1 1

2 5 6 7

+ 1 9 3 8

-----------

4 5 0 5

Answer: 4505 (Addition with regrouping: 7 + 8 = 15, 6 + 3 + 1 = 10)

Example 3: 3145 + 2304 = ?

3 1 4 5

+ 2 3 0 4

-----------

5 4 4 9

Answer: 5449 (Addition without regrouping)

Example 4: 4789 + 3456 = ?

Carry: 1 1 1

4 7 8 9

+ 3 4 5 6

-----------

8 2 4 5

Answer: 8245 (Addition with regrouping in multiple columns)

Example 5: 5678 + 2100 = ?

5 6 7 8

+ 2 1 0 0

-----------

7 7 7 8

Answer: 7778 (Addition without regrouping)

Example 6: 6543 + 4567 = ?

Carry: 1 1

6 5 4 3

+ 4 5 6 7

-----------

1 1 1 1 0

Answer: 11110 (Addition with regrouping: results in 5-digit number)

Example 7: 3012 + 5487 = ?

Carry: 1

3 0 1 2

+ 5 4 8 7

-----------

8 4 9 9

Answer: 8499 (Addition with regrouping in ones place only)

Example 8: 7234 + 1565 = ?

Carry: 1

7 2 3 4

+ 1 5 6 5

-----------

8 7 9 9

Answer: 8799 (Addition with regrouping)

Example 9: 4002 + 3998 = ?

Carry: 1 1 1

4 0 0 2

+ 3 9 9 8

-----------

8 0 0 0

Answer: 8000 (Addition with multiple regrouping)

Example 10: 5999 + 4001 = ?

Carry: 1

5 9 9 9

+ 4 0 0 1

-----------

1 0 0 0 0

Answer: 10000 (Addition with multiple regrouping: results in 5-digit number)

Practice Questions on Addition for Class 4

Try solving these 10 practice questions. Work through each problem step by step using the methods you learned above.

1: Add 2341 + 1234

Answer: 3575

Explanation: This is addition without regrouping. Add each column from right to left:

1 + 4 = 5,

4 + 3 = 7,

3 + 2 = 5, and 2 + 1 = 3. The answer is 3575.

2: Add 3456 + 2789

Answer: 6245

Explanation: This requires regrouping. Starting from the right: 6 + 9 = 15 (write 5, carry 1),

1 + 5 + 8 = 14 (write 4, carry 1),

1 + 4 + 7 = 12 (write 2, carry 1), and 1 + 3 + 2 = 6.

The answer is 6245.

3: Add 1111 + 2222

Answer: 3333

Explanation: Addition without regrouping. Each column has the same digits: 1 + 2 = 3 in every position. The answer is 3333.

4: Add 5678 + 4567

Answer: 10245

Explanation: This addition with regrouping results in a 5-digit answer. Starting from the right:

8 + 7 = 15 (write 5, carry 1),

1 + 7 + 6 = 14 (write 4, carry 1),

1 + 6 + 5 = 12 (write 2, carry 1), and 1 + 5 + 4 = 10.

The answer is 10245.

5: Add 2000 + 3000

Answer: 5000

Explanation: Addition without regrouping. Add the thousands: 2 + 3 = 5. All other places have zeros. The answer is 5000.

6: Add 4321 + 5678

Answer: 9999

Explanation: Addition without regrouping. Each column sum is less than 10: 1 + 8 = 9,

2 + 7 = 9,

3 + 6 = 9, and 4 + 5 = 9. The answer is 9999.

7: Add 7654 + 3456

Answer: 11110

Explanation: Addition with regrouping. From the right:

4 + 6 = 10 (write 0, carry 1),

1 + 5 + 5 = 11 (write 1, carry 1),

1 + 6 + 4 = 11 (write 1, carry 1), and 1 + 7 + 3 = 11 (write 1, carry 1). The answer is 11110.

8: Add 1023 + 4567

Answer: 5590

Explanation: Addition with regrouping in some columns. From the right:

3 + 7 = 10 (write 0, carry 1),

1 + 2 + 6 = 9 (write 9),

0 + 5 = 5 (write 5), and 1 + 4 = 5. The answer is 5590.

9: Add 8765 + 1234

Answer: 9999

Explanation: Addition without regrouping. Each column:

5 + 4 = 9,

6 + 3 = 9,

7 + 2 = 9, and 8 + 1 = 9. The answer is 9999.

10: Add 3333 + 6666

Answer: 9999

Explanation: Addition without regrouping. Each column has the same digits: 3 + 6 = 9 in every position. The answer is 9999.

Addition Worksheet for Class 4

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