4-digit addition (no regrouping) worksheets | Worsheets library - Free Printable
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Step-by-step solution for: 4-digit addition (no regrouping) worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: 4-digit addition (no regrouping) worksheets | Worsheets library
You've uploaded a K5 Learning worksheet titled “Addition with no regrouping (4-digit + 4-digit)”, which contains 25 addition problems. The key instruction is: no regrouping — meaning, when adding each column (ones, tens, hundreds, thousands), the sum must be 9 or less so that you never carry over to the next column.
Let’s solve each problem step by step and explain the reasoning.
---
- Add digit-by-digit from right to left (ones → tens → hundreds → thousands).
- If any column adds up to 10 or more, it would require regrouping — but since this worksheet says “no regrouping”, all column sums should be ≤ 9.
- So we can safely add each column independently.
---
## 🧮 Let’s Solve Each Problem:
---
1. 5,162 + 2,116
```
5162
+ 2116
------
7278 ← 2+6=8, 6+1=7, 1+1=2, 5+2=7 → No regrouping!
```
✔ Answer: 7,278
---
2. 564 + 4,002
Align properly (think of 564 as 0564):
```
0564
+ 4002
------
4566 ← 4+2=6, 6+0=6, 5+0=5, 0+4=4
```
✔ Answer: 4,566
---
3. 3,251 + 5,204
```
3251
+ 5204
------
8455 ← 1+4=5, 5+0=5, 2+2=4, 3+5=8
```
✔ Answer: 8,455
---
4. 7,201 + 1,007
```
7201
+ 1007
------
8208 ← 1+7=8, 0+0=0, 2+0=2, 7+1=8
```
✔ Answer: 8,208
---
5. 5,327 + 3,361
```
5327
+ 3361
------
8688 ← 7+1=8, 2+6=8, 3+3=6, 5+3=8
```
✔ Answer: 8,688
---
6. 8,102 + 1,437
```
8102
+ 1437
------
9539 ← 2+7=9, 0+3=3, 1+4=5, 8+1=9
```
✔ Answer: 9,539
---
7. 4,629 + 4,210
```
4629
+ 4210
------
8839 ← 9+0=9, 2+1=3, 6+2=8, 4+4=8
```
✔ Answer: 8,839
---
8. 6,124 + 3,062
```
6124
+ 3062
------
9186 ← 4+2=6, 2+6=8, 1+0=1, 6+3=9
```
✔ Answer: 9,186
---
9. 68 + 911
Write as 0068 + 0911:
```
0068
+ 0911
------
0979 → 979
```
✔ Answer: 979
---
10. 7,348 + 1,530
```
7348
+ 1530
------
8878 ← 8+0=8, 4+3=7, 3+5=8, 7+1=8
```
✔ Answer: 8,878
---
11. 1,532 + 6,431
```
1532
+ 6431
------
7963 ← 2+1=3, 3+3=6, 5+4=9, 1+6=7
```
✔ Answer: 7,963
---
12. 1,704 + 5,150
```
1704
+ 5150
------
6854 ← 4+0=4, 0+5=5, 7+1=8, 1+5=6
```
✔ Answer: 6,854
---
13. 4,291 + 3,506
```
4291
+ 3506
------
7797 ← 1+6=7, 9+0=9, 2+5=7, 4+3=7
```
✔ Answer: 7,797
---
14. 7,420 + 252
Write as 7420 + 0252:
```
7420
+ 0252
------
7672 ← 0+2=2, 2+5=7, 4+2=6, 7+0=7
```
✔ Answer: 7,672
---
15. 2,572 + 4,316
```
2572
+ 4316
------
6888 ← 2+6=8, 7+1=8, 5+3=8, 2+4=6
```
✔ Answer: 6,888
---
16. 6,264 + 2,705
```
6264
+ 2705
------
8969 ← 4+5=9, 6+0=6, 2+7=9, 6+2=8
```
✔ Answer: 8,969
---
17. 5,035 + 2,303
```
5035
+ 2303
------
7338 ← 5+3=8, 3+0=3, 0+3=3, 5+2=7
```
✔ Answer: 7,338
---
18. 541 + 7,017
Write as 0541 + 7017:
```
0541
+ 7017
------
7558 ← 1+7=8, 4+1=5, 5+0=5, 0+7=7
```
✔ Answer: 7,558
---
19. 6,256 + 2,032
```
6256
+ 2032
------
8288 ← 6+2=8, 5+3=8, 2+0=2, 6+2=8
```
✔ Answer: 8,288
---
20. 5,443 + 1,004
```
5443
+ 1004
------
6447 ← 3+4=7, 4+0=4, 4+0=4, 5+1=6
```
✔ Answer: 6,447
---
21. 2,011 + 4,542
```
2011
+ 4542
------
6553 ← 1+2=3, 1+4=5, 0+5=5, 2+4=6
```
✔ Answer: 6,553
---
22. 4,331 + 5,128
```
4331
+ 5128
------
9459 ← 1+8=9, 3+2=5, 3+1=4, 4+5=9
```
✔ Answer: 9,459
---
23. 8,227 + 221
Write as 8227 + 0221:
```
8227
+ 0221
------
8448 ← 7+1=8, 2+2=4, 2+2=4, 8+0=8
```
✔ Answer: 8,448
---
24. 1,260 + 2,402
```
1260
+ 2402
------
3662 ← 0+2=2, 6+0=6, 2+4=6, 1+2=3
```
✔ Answer: 3,662
---
25. 503 + 1,042
Write as 0503 + 1042:
```
0503
+ 1042
------
1545 ← 3+2=5, 0+4=4, 5+0=5, 0+1=1
```
✔ Answer: 1,545
---
## ✔ Final Answers (in order):
1. 7,278
2. 4,566
3. 8,455
4. 8,208
5. 8,688
6. 9,539
7. 8,839
8. 9,186
9. 979
10. 8,878
11. 7,963
12. 6,854
13. 7,797
14. 7,672
15. 6,888
16. 8,969
17. 7,338
18. 7,558
19. 8,288
20. 6,447
21. 6,553
22. 9,459
23. 8,448
24. 3,662
25. 1,545
---
## 💡 Explanation Summary:
- All problems follow the no regrouping rule — meaning each digit column adds to 9 or less.
- You can add digits in each place value independently without carrying.
- This worksheet helps reinforce place value understanding and mental math for clean, straightforward addition.
Let me know if you’d like these answers formatted for printing or turned into a table! 😊
Let’s solve each problem step by step and explain the reasoning.
---
✔ General Rule for “No Regrouping”:
- Add digit-by-digit from right to left (ones → tens → hundreds → thousands).
- If any column adds up to 10 or more, it would require regrouping — but since this worksheet says “no regrouping”, all column sums should be ≤ 9.
- So we can safely add each column independently.
---
## 🧮 Let’s Solve Each Problem:
---
Row 1:
1. 5,162 + 2,116
```
5162
+ 2116
------
7278 ← 2+6=8, 6+1=7, 1+1=2, 5+2=7 → No regrouping!
```
✔ Answer: 7,278
---
2. 564 + 4,002
Align properly (think of 564 as 0564):
```
0564
+ 4002
------
4566 ← 4+2=6, 6+0=6, 5+0=5, 0+4=4
```
✔ Answer: 4,566
---
3. 3,251 + 5,204
```
3251
+ 5204
------
8455 ← 1+4=5, 5+0=5, 2+2=4, 3+5=8
```
✔ Answer: 8,455
---
4. 7,201 + 1,007
```
7201
+ 1007
------
8208 ← 1+7=8, 0+0=0, 2+0=2, 7+1=8
```
✔ Answer: 8,208
---
5. 5,327 + 3,361
```
5327
+ 3361
------
8688 ← 7+1=8, 2+6=8, 3+3=6, 5+3=8
```
✔ Answer: 8,688
---
Row 2:
6. 8,102 + 1,437
```
8102
+ 1437
------
9539 ← 2+7=9, 0+3=3, 1+4=5, 8+1=9
```
✔ Answer: 9,539
---
7. 4,629 + 4,210
```
4629
+ 4210
------
8839 ← 9+0=9, 2+1=3, 6+2=8, 4+4=8
```
✔ Answer: 8,839
---
8. 6,124 + 3,062
```
6124
+ 3062
------
9186 ← 4+2=6, 2+6=8, 1+0=1, 6+3=9
```
✔ Answer: 9,186
---
9. 68 + 911
Write as 0068 + 0911:
```
0068
+ 0911
------
0979 → 979
```
✔ Answer: 979
---
10. 7,348 + 1,530
```
7348
+ 1530
------
8878 ← 8+0=8, 4+3=7, 3+5=8, 7+1=8
```
✔ Answer: 8,878
---
Row 3:
11. 1,532 + 6,431
```
1532
+ 6431
------
7963 ← 2+1=3, 3+3=6, 5+4=9, 1+6=7
```
✔ Answer: 7,963
---
12. 1,704 + 5,150
```
1704
+ 5150
------
6854 ← 4+0=4, 0+5=5, 7+1=8, 1+5=6
```
✔ Answer: 6,854
---
13. 4,291 + 3,506
```
4291
+ 3506
------
7797 ← 1+6=7, 9+0=9, 2+5=7, 4+3=7
```
✔ Answer: 7,797
---
14. 7,420 + 252
Write as 7420 + 0252:
```
7420
+ 0252
------
7672 ← 0+2=2, 2+5=7, 4+2=6, 7+0=7
```
✔ Answer: 7,672
---
15. 2,572 + 4,316
```
2572
+ 4316
------
6888 ← 2+6=8, 7+1=8, 5+3=8, 2+4=6
```
✔ Answer: 6,888
---
Row 4:
16. 6,264 + 2,705
```
6264
+ 2705
------
8969 ← 4+5=9, 6+0=6, 2+7=9, 6+2=8
```
✔ Answer: 8,969
---
17. 5,035 + 2,303
```
5035
+ 2303
------
7338 ← 5+3=8, 3+0=3, 0+3=3, 5+2=7
```
✔ Answer: 7,338
---
18. 541 + 7,017
Write as 0541 + 7017:
```
0541
+ 7017
------
7558 ← 1+7=8, 4+1=5, 5+0=5, 0+7=7
```
✔ Answer: 7,558
---
19. 6,256 + 2,032
```
6256
+ 2032
------
8288 ← 6+2=8, 5+3=8, 2+0=2, 6+2=8
```
✔ Answer: 8,288
---
20. 5,443 + 1,004
```
5443
+ 1004
------
6447 ← 3+4=7, 4+0=4, 4+0=4, 5+1=6
```
✔ Answer: 6,447
---
Row 5:
21. 2,011 + 4,542
```
2011
+ 4542
------
6553 ← 1+2=3, 1+4=5, 0+5=5, 2+4=6
```
✔ Answer: 6,553
---
22. 4,331 + 5,128
```
4331
+ 5128
------
9459 ← 1+8=9, 3+2=5, 3+1=4, 4+5=9
```
✔ Answer: 9,459
---
23. 8,227 + 221
Write as 8227 + 0221:
```
8227
+ 0221
------
8448 ← 7+1=8, 2+2=4, 2+2=4, 8+0=8
```
✔ Answer: 8,448
---
24. 1,260 + 2,402
```
1260
+ 2402
------
3662 ← 0+2=2, 6+0=6, 2+4=6, 1+2=3
```
✔ Answer: 3,662
---
25. 503 + 1,042
Write as 0503 + 1042:
```
0503
+ 1042
------
1545 ← 3+2=5, 0+4=4, 5+0=5, 0+1=1
```
✔ Answer: 1,545
---
## ✔ Final Answers (in order):
1. 7,278
2. 4,566
3. 8,455
4. 8,208
5. 8,688
6. 9,539
7. 8,839
8. 9,186
9. 979
10. 8,878
11. 7,963
12. 6,854
13. 7,797
14. 7,672
15. 6,888
16. 8,969
17. 7,338
18. 7,558
19. 8,288
20. 6,447
21. 6,553
22. 9,459
23. 8,448
24. 3,662
25. 1,545
---
## 💡 Explanation Summary:
- All problems follow the no regrouping rule — meaning each digit column adds to 9 or less.
- You can add digits in each place value independently without carrying.
- This worksheet helps reinforce place value understanding and mental math for clean, straightforward addition.
Let me know if you’d like these answers formatted for printing or turned into a table! 😊
Parent Tip: Review the logic above to help your child master the concept of addition worksheet without.