Addition of 4-Digit Numbers
Addition of 4-digit numbers follows the same column method used for smaller numbers, but involves larger values and often requires regrouping (carrying over) from one place to the next.
In Class 4, you add numbers up to 9,999 and sometimes get a 5-digit sum. This skill is used for calculating totals, finding combined distances, and adding amounts of money.
What is Addition of 4-Digit Numbers - Class 4 Maths (Operations)?
Column addition is the standard method for adding 4-digit numbers:
- Write the numbers one below the other, aligning the place values (ones under ones, tens under tens, etc.).
- Add from right to left, starting with the ones column.
- If the sum of a column is 10 or more, write the ones digit and carry the tens digit to the next column.
Always add from right to left: Ones → Tens → Hundreds → Thousands
Types and Properties
When no column sum reaches 10 or more.
| Th | H | T | O | |
|---|---|---|---|---|
| 2 | 3 | 1 | 4 | |
| + | 4 | 5 | 6 | 3 |
| 6 | 8 | 7 | 7 |
2,314 + 4,563 = 6,877 (no carrying needed)
When a column sum is 10 or more, carry over.
| Carry | Th | H | T | O |
|---|---|---|---|---|
| 3 | 5 | 6 | 8 | |
| + | 2 | 7 | 4 | 5 |
| 1 | 6 | 3 | 1 | 3 |
3,568 + 2,745 = 6,313
Solved Examples
Example 1: Example 1: Addition without regrouping
Problem: Add 1,234 + 3,452.
Solution:
Step 1: Ones: 4 + 2 = 6
Step 2: Tens: 3 + 5 = 8
Step 3: Hundreds: 2 + 4 = 6
Step 4: Thousands: 1 + 3 = 4
Answer: 1,234 + 3,452 = 4,686
Example 2: Example 2: Addition with one carry
Problem: Add 4,567 + 2,815.
Solution:
Step 1: Ones: 7 + 5 = 12. Write 2, carry 1.
Step 2: Tens: 6 + 1 + 1 (carry) = 8
Step 3: Hundreds: 5 + 8 = 13. Write 3, carry 1.
Step 4: Thousands: 4 + 2 + 1 (carry) = 7
Answer: 4,567 + 2,815 = 7,382
Example 3: Example 3: Addition with multiple carries
Problem: Add 6,789 + 2,456.
Solution:
Step 1: Ones: 9 + 6 = 15. Write 5, carry 1.
Step 2: Tens: 8 + 5 + 1 = 14. Write 4, carry 1.
Step 3: Hundreds: 7 + 4 + 1 = 12. Write 2, carry 1.
Step 4: Thousands: 6 + 2 + 1 = 9.
Answer: 6,789 + 2,456 = 9,245
Example 4: Example 4: Sum exceeding 9,999
Problem: Add 7,856 + 3,478.
Solution:
Step 1: Ones: 6 + 8 = 14. Write 4, carry 1.
Step 2: Tens: 5 + 7 + 1 = 13. Write 3, carry 1.
Step 3: Hundreds: 8 + 4 + 1 = 13. Write 3, carry 1.
Step 4: Thousands: 7 + 3 + 1 = 11. Write 1, carry 1.
Step 5: Ten thousands: 1 (carry only).
Answer: 7,856 + 3,478 = 11,334 (a 5-digit number!)
Example 5: Example 5: Adding three numbers
Problem: Add 2,345 + 1,678 + 3,219.
Solution:
Step 1: Ones: 5 + 8 + 9 = 22. Write 2, carry 2.
Step 2: Tens: 4 + 7 + 1 + 2 = 14. Write 4, carry 1.
Step 3: Hundreds: 3 + 6 + 2 + 1 = 12. Write 2, carry 1.
Step 4: Thousands: 2 + 1 + 3 + 1 = 7.
Answer: 2,345 + 1,678 + 3,219 = 7,242
Example 6: Example 6: Word problem - school collections
Problem: Orchids School collected ₹3,475 from Class 3 and ₹4,250 from Class 4 for a charity drive. Find the total collection.
Solution:
Step 1: Ones: 5 + 0 = 5
Step 2: Tens: 7 + 5 = 12. Write 2, carry 1.
Step 3: Hundreds: 4 + 2 + 1 = 7
Step 4: Thousands: 3 + 4 = 7
Answer: Total collection = ₹7,725
Example 7: Example 7: Word problem - distance
Problem: Aman travelled 1,845 km by train and 2,367 km by bus. Find the total distance.
Solution:
Step 1: Ones: 5 + 7 = 12. Write 2, carry 1.
Step 2: Tens: 4 + 6 + 1 = 11. Write 1, carry 1.
Step 3: Hundreds: 8 + 3 + 1 = 12. Write 2, carry 1.
Step 4: Thousands: 1 + 2 + 1 = 4.
Answer: Total distance = 4,212 km
Example 8: Example 8: Addition with zeros
Problem: Add 5,006 + 3,094.
Solution:
Step 1: Ones: 6 + 4 = 10. Write 0, carry 1.
Step 2: Tens: 0 + 9 + 1 = 10. Write 0, carry 1.
Step 3: Hundreds: 0 + 0 + 1 = 1
Step 4: Thousands: 5 + 3 = 8
Answer: 5,006 + 3,094 = 8,100
Example 9: Example 9: Checking with estimation
Problem: Add 4,382 + 3,619. Check your answer by estimation.
Solution:
Calculation: 4,382 + 3,619 = 8,001
Estimation check: 4,000 + 4,000 = 8,000. Our answer 8,001 is close to 8,000.
Answer: 8,001 (verified by estimation)
Example 10: Example 10: Word problem - book pages
Problem: Priya's science book has 1,456 pages and her maths book has 1,278 pages. How many pages do both books have together?
Solution:
Step 1: Ones: 6 + 8 = 14. Write 4, carry 1.
Step 2: Tens: 5 + 7 + 1 = 13. Write 3, carry 1.
Step 3: Hundreds: 4 + 2 + 1 = 7
Step 4: Thousands: 1 + 1 = 2
Answer: Total pages = 2,734
Key Points to Remember
- Align numbers by place value before adding.
- Add from right to left: ones, tens, hundreds, thousands.
- If a column sum is 10 or more, write the ones digit and carry the tens digit.
- The sum of two 4-digit numbers can be a 5-digit number (e.g., 7,856 + 3,478 = 11,334).
- You can add three or more 4-digit numbers using the same method.
- Use estimation to check if your answer is reasonable.
- Addition is commutative: a + b = b + a (the order does not change the sum).
Practice Problems
- Add 2,456 + 3,231 (no regrouping).
- Add 5,678 + 2,456.
- Add 8,999 + 1,001.
- Add 3,456 + 2,789 + 1,234.
- Rahul scored 4,567 points in Round 1 and 3,849 points in Round 2. Find his total score.
- A school has 2,345 boys and 2,567 girls. How many students in total?
- Add 6,004 + 3,996.
- Verify: 1,234 + 5,678 = 6,912 (use estimation to check).
Frequently Asked Questions
Q1. What is regrouping in addition?
Regrouping (also called carrying) happens when the sum of digits in a column is 10 or more. You write the ones digit in that column and carry the tens digit to the next column on the left.
Q2. Can the sum of two 4-digit numbers be a 5-digit number?
Yes. For example, 9,999 + 1 = 10,000 (a 5-digit number). The maximum sum of two 4-digit numbers is 9,999 + 9,999 = 19,998.
Q3. Why do we add from right to left?
We start from the ones place because any carry from the ones affects the tens, carry from tens affects hundreds, and so on. Starting from the right ensures all carries are handled correctly.
Q4. How do you add numbers with different numbers of digits?
Align them by place value. Missing places in the shorter number are treated as 0. For example, to add 452 + 3,567, treat 452 as 0,452 and add normally.
Q5. What is the commutative property of addition?
It means the order of numbers does not change the sum. 3,456 + 2,789 = 2,789 + 3,456. This is useful for checking answers by swapping the numbers.
Q6. How can I check my addition answer?
Use estimation (round and add) or subtraction (subtract one addend from the sum to get the other). For example, if 4,567 + 2,815 = 7,382, check: 7,382 - 2,815 should give 4,567.
Q7. What is the maximum carry from a column?
When adding two numbers, the maximum carry is 1 (since 9 + 9 + 1 = 19, where 1 is the previous carry). When adding three numbers, the carry can be 2 (9 + 9 + 9 = 27).
Q8. Is addition of 4-digit numbers in the NCERT Class 4 syllabus?
Yes. NCERT Class 4 Maths covers addition of 4-digit and 5-digit numbers with and without regrouping in the operations chapter.
