Adding 4-digit numbers in columns | Worsheets library - Free Printable
Educational worksheet: Adding 4-digit numbers in columns | Worsheets library. Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding 4-digit numbers in columns | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Adding 4-digit numbers in columns | Worsheets library
Sure! Let’s solve each of the 16 addition problems step by step, adding 4-digit numbers in columns as instructed. I’ll show the work for each problem clearly.
---
Problem 1:
```
7,340
+ 9,473
--------
```
Start from the right (ones place):
- Ones: 0 + 3 = 3
- Tens: 4 + 7 = 11 → write 1, carry 1
- Hundreds: 3 + 4 + 1 (carry) = 8
- Thousands: 7 + 9 = 16
✔ Answer: 16,813
---
Problem 2:
```
3,026
+ 2,689
--------
```
- Ones: 6 + 9 = 15 → write 5, carry 1
- Tens: 2 + 8 + 1 = 11 → write 1, carry 1
- Hundreds: 0 + 6 + 1 = 7
- Thousands: 3 + 2 = 5
✔ Answer: 5,715
---
Problem 3:
```
125
+ 867
--------
```
Note: This is a 3-digit + 3-digit, but we treat it as 4-digit with leading zero:
```
0,125
+ 0,867
--------
```
- Ones: 5 + 7 = 12 → write 2, carry 1
- Tens: 2 + 6 + 1 = 9
- Hundreds: 1 + 8 = 9
- Thousands: 0 + 0 = 0
✔ Answer: 992
---
Problem 4:
```
6,804
+ 651
--------
```
Align to the right:
```
6,804
+ 651
--------
```
- Ones: 4 + 1 = 5
- Tens: 0 + 5 = 5
- Hundreds: 8 + 6 = 14 → write 4, carry 1
- Thousands: 6 + 0 + 1 = 7
✔ Answer: 7,455
---
Problem 5:
```
6,774
+ 7,826
--------
```
- Ones: 4 + 6 = 10 → write 0, carry 1
- Tens: 7 + 2 + 1 = 10 → write 0, carry 1
- Hundreds: 7 + 8 + 1 = 16 → write 6, carry 1
- Thousands: 6 + 7 + 1 = 14
✔ Answer: 14,600
---
Problem 6:
```
1,762
+ 3,722
--------
```
- Ones: 2 + 2 = 4
- Tens: 6 + 2 = 8
- Hundreds: 7 + 7 = 14 → write 4, carry 1
- Thousands: 1 + 3 + 1 = 5
✔ Answer: 5,484
---
Problem 7:
```
9,778
+ 1,228
--------
```
- Ones: 8 + 8 = 16 → write 6, carry 1
- Tens: 7 + 2 + 1 = 10 → write 0, carry 1
- Hundreds: 7 + 2 + 1 = 10 → write 0, carry 1
- Thousands: 9 + 1 + 1 = 11
✔ Answer: 11,006
---
Problem 8:
```
4,400
+ 4,474
--------
```
- Ones: 0 + 4 = 4
- Tens: 0 + 7 = 7
- Hundreds: 4 + 4 = 8
- Thousands: 4 + 4 = 8
✔ Answer: 8,874
---
Problem 9:
```
7,942
+ 9,798
--------
```
- Ones: 2 + 8 = 10 → write 0, carry 1
- Tens: 4 + 9 + 1 = 14 → write 4, carry 1
- Hundreds: 9 + 7 + 1 = 17 → write 7, carry 1
- Thousands: 7 + 9 + 1 = 17
✔ Answer: 17,740
---
Problem 10:
```
7,559
+ 8,529
--------
```
- Ones: 9 + 9 = 18 → write 8, carry 1
- Tens: 5 + 2 + 1 = 8
- Hundreds: 5 + 5 = 10 → write 0, carry 1
- Thousands: 7 + 8 + 1 = 16
✔ Answer: 16,088
---
Problem 11:
```
7,274
+ 4,558
--------
```
- Ones: 4 + 8 = 12 → write 2, carry 1
- Tens: 7 + 5 + 1 = 13 → write 3, carry 1
- Hundreds: 2 + 5 + 1 = 8
- Thousands: 7 + 4 = 11
✔ Answer: 11,832
---
Problem 12:
```
8,704
+ 222
--------
```
- Ones: 4 + 2 = 6
- Tens: 0 + 2 = 2
- Hundreds: 7 + 2 = 9
- Thousands: 8 + 0 = 8
✔ Answer: 8,926
---
Problem 13:
```
5,536
+ 5,819
--------
```
- Ones: 6 + 9 = 15 → write 5, carry 1
- Tens: 3 + 1 + 1 = 5
- Hundreds: 5 + 8 = 13 → write 3, carry 1
- Thousands: 5 + 5 + 1 = 11
✔ Answer: 11,355
---
Problem 14:
```
290
+ 3,432
--------
```
Align:
```
0,290
+ 3,432
--------
```
- Ones: 0 + 2 = 2
- Tens: 9 + 3 = 12 → write 2, carry 1
- Hundreds: 2 + 4 + 1 = 7
- Thousands: 0 + 3 = 3
✔ Answer: 3,722
---
Problem 15:
```
8,519
+ 9,033
--------
```
- Ones: 9 + 3 = 12 → write 2, carry 1
- Tens: 1 + 3 + 1 = 5
- Hundreds: 5 + 0 = 5
- Thousands: 8 + 9 = 17
✔ Answer: 17,552
---
Problem 16:
```
491
+ 1,091
--------
```
Align:
```
0,491
+ 1,091
--------
```
- Ones: 1 + 1 = 2
- Tens: 9 + 9 = 18 → write 8, carry 1
- Hundreds: 4 + 0 + 1 = 5
- Thousands: 0 + 1 = 1
✔ Answer: 1,582
---
## ✔ Final Answers:
1. 16,813
2. 5,715
3. 992
4. 7,455
5. 14,600
6. 5,484
7. 11,006
8. 8,874
9. 17,740
10. 16,088
11. 11,832
12. 8,926
13. 11,355
14. 3,722
15. 17,552
16. 1,582
---
Let me know if you’d like a printable answer key or step-by-step visuals for any problem!
---
Problem 1:
```
7,340
+ 9,473
--------
```
Start from the right (ones place):
- Ones: 0 + 3 = 3
- Tens: 4 + 7 = 11 → write 1, carry 1
- Hundreds: 3 + 4 + 1 (carry) = 8
- Thousands: 7 + 9 = 16
✔ Answer: 16,813
---
Problem 2:
```
3,026
+ 2,689
--------
```
- Ones: 6 + 9 = 15 → write 5, carry 1
- Tens: 2 + 8 + 1 = 11 → write 1, carry 1
- Hundreds: 0 + 6 + 1 = 7
- Thousands: 3 + 2 = 5
✔ Answer: 5,715
---
Problem 3:
```
125
+ 867
--------
```
Note: This is a 3-digit + 3-digit, but we treat it as 4-digit with leading zero:
```
0,125
+ 0,867
--------
```
- Ones: 5 + 7 = 12 → write 2, carry 1
- Tens: 2 + 6 + 1 = 9
- Hundreds: 1 + 8 = 9
- Thousands: 0 + 0 = 0
✔ Answer: 992
---
Problem 4:
```
6,804
+ 651
--------
```
Align to the right:
```
6,804
+ 651
--------
```
- Ones: 4 + 1 = 5
- Tens: 0 + 5 = 5
- Hundreds: 8 + 6 = 14 → write 4, carry 1
- Thousands: 6 + 0 + 1 = 7
✔ Answer: 7,455
---
Problem 5:
```
6,774
+ 7,826
--------
```
- Ones: 4 + 6 = 10 → write 0, carry 1
- Tens: 7 + 2 + 1 = 10 → write 0, carry 1
- Hundreds: 7 + 8 + 1 = 16 → write 6, carry 1
- Thousands: 6 + 7 + 1 = 14
✔ Answer: 14,600
---
Problem 6:
```
1,762
+ 3,722
--------
```
- Ones: 2 + 2 = 4
- Tens: 6 + 2 = 8
- Hundreds: 7 + 7 = 14 → write 4, carry 1
- Thousands: 1 + 3 + 1 = 5
✔ Answer: 5,484
---
Problem 7:
```
9,778
+ 1,228
--------
```
- Ones: 8 + 8 = 16 → write 6, carry 1
- Tens: 7 + 2 + 1 = 10 → write 0, carry 1
- Hundreds: 7 + 2 + 1 = 10 → write 0, carry 1
- Thousands: 9 + 1 + 1 = 11
✔ Answer: 11,006
---
Problem 8:
```
4,400
+ 4,474
--------
```
- Ones: 0 + 4 = 4
- Tens: 0 + 7 = 7
- Hundreds: 4 + 4 = 8
- Thousands: 4 + 4 = 8
✔ Answer: 8,874
---
Problem 9:
```
7,942
+ 9,798
--------
```
- Ones: 2 + 8 = 10 → write 0, carry 1
- Tens: 4 + 9 + 1 = 14 → write 4, carry 1
- Hundreds: 9 + 7 + 1 = 17 → write 7, carry 1
- Thousands: 7 + 9 + 1 = 17
✔ Answer: 17,740
---
Problem 10:
```
7,559
+ 8,529
--------
```
- Ones: 9 + 9 = 18 → write 8, carry 1
- Tens: 5 + 2 + 1 = 8
- Hundreds: 5 + 5 = 10 → write 0, carry 1
- Thousands: 7 + 8 + 1 = 16
✔ Answer: 16,088
---
Problem 11:
```
7,274
+ 4,558
--------
```
- Ones: 4 + 8 = 12 → write 2, carry 1
- Tens: 7 + 5 + 1 = 13 → write 3, carry 1
- Hundreds: 2 + 5 + 1 = 8
- Thousands: 7 + 4 = 11
✔ Answer: 11,832
---
Problem 12:
```
8,704
+ 222
--------
```
- Ones: 4 + 2 = 6
- Tens: 0 + 2 = 2
- Hundreds: 7 + 2 = 9
- Thousands: 8 + 0 = 8
✔ Answer: 8,926
---
Problem 13:
```
5,536
+ 5,819
--------
```
- Ones: 6 + 9 = 15 → write 5, carry 1
- Tens: 3 + 1 + 1 = 5
- Hundreds: 5 + 8 = 13 → write 3, carry 1
- Thousands: 5 + 5 + 1 = 11
✔ Answer: 11,355
---
Problem 14:
```
290
+ 3,432
--------
```
Align:
```
0,290
+ 3,432
--------
```
- Ones: 0 + 2 = 2
- Tens: 9 + 3 = 12 → write 2, carry 1
- Hundreds: 2 + 4 + 1 = 7
- Thousands: 0 + 3 = 3
✔ Answer: 3,722
---
Problem 15:
```
8,519
+ 9,033
--------
```
- Ones: 9 + 3 = 12 → write 2, carry 1
- Tens: 1 + 3 + 1 = 5
- Hundreds: 5 + 0 = 5
- Thousands: 8 + 9 = 17
✔ Answer: 17,552
---
Problem 16:
```
491
+ 1,091
--------
```
Align:
```
0,491
+ 1,091
--------
```
- Ones: 1 + 1 = 2
- Tens: 9 + 9 = 18 → write 8, carry 1
- Hundreds: 4 + 0 + 1 = 5
- Thousands: 0 + 1 = 1
✔ Answer: 1,582
---
## ✔ Final Answers:
1. 16,813
2. 5,715
3. 992
4. 7,455
5. 14,600
6. 5,484
7. 11,006
8. 8,874
9. 17,740
10. 16,088
11. 11,832
12. 8,926
13. 11,355
14. 3,722
15. 17,552
16. 1,582
---
Let me know if you’d like a printable answer key or step-by-step visuals for any problem!
Parent Tip: Review the logic above to help your child master the concept of 4 digit addition with regrouping worksheet.