4-Digit Addition and Subtraction Sheet 2 with problems and a question about odd numbers.
4-digit addition and subtraction worksheet with math problems and a question asking which answers are odd numbers.
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Addition and Subtraction Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Addition and Subtraction Worksheets
Let’s solve each problem step by step. We’ll do addition and subtraction carefully, column by column (ones, tens, hundreds, thousands), and check for carrying or borrowing when needed.
---
Problem 1: 6318 + 3257
Start from the right:
- Ones: 8 + 7 = 15 → write 5, carry 1
- Tens: 1 + 5 + 1 (carry) = 7
- Hundreds: 3 + 2 = 5
- Thousands: 6 + 3 = 9
→ 9575
Check: 6318 + 3257 = 9575 ✔️
Is 9575 odd? Last digit is 5 → YES, it’s odd.
---
Problem 2: 4509 - 3263
Subtract column by column:
- Ones: 9 - 3 = 6
- Tens: 0 - 6 → can’t do, borrow from hundreds. But hundreds is 5 → becomes 4, tens become 10. Now 10 - 6 = 4
- Hundreds: 4 (after borrow) - 2 = 2
- Thousands: 4 - 3 = 1
→ 1246
Check: 4509 - 3263 = 1246 ✔️
Last digit 6 → even → NOT odd.
---
Problem 3: 5731 + 2655
- Ones: 1 + 5 = 6
- Tens: 3 + 5 = 8
- Hundreds: 7 + 6 = 13 → write 3, carry 1
- Thousands: 5 + 2 + 1 = 8
→ 8386
Check: 5731 + 2655 = 8386 ✔️
Last digit 6 → even → NOT odd.
---
Problem 4: 9864 - 6283
- Ones: 4 - 3 = 1
- Tens: 6 - 8 → borrow from hundreds. Hundreds is 8 → becomes 7, tens become 16. 16 - 8 = 8
- Hundreds: 7 - 2 = 5
- Thousands: 9 - 6 = 3
→ 3581
Check: 9864 - 6283 = 3581 ✔️
Last digit 1 → odd → YES.
---
Problem 5: 1629 + 4535
- Ones: 9 + 5 = 14 → write 4, carry 1
- Tens: 2 + 3 + 1 = 6
- Hundreds: 6 + 5 = 11 → write 1, carry 1
- Thousands: 1 + 4 + 1 = 6
→ 6164
Check: 1629 + 4535 = 6164 ✔️
Last digit 4 → even → NOT odd.
---
Problem 6: 2471 - 2329
- Ones: 1 - 9 → borrow. Tens is 7 → becomes 6, ones become 11. 11 - 9 = 2
- Tens: 6 - 2 = 4
- Hundreds: 4 - 3 = 1
- Thousands: 2 - 2 = 0 → don’t write leading zero
→ 142
Check: 2471 - 2329 = 142 ✔️
Last digit 2 → even → NOT odd.
---
Problem 7: 6872 + 454
Align properly:
6872
+ 454
= ?
- Ones: 2 + 4 = 6
- Tens: 7 + 5 = 12 → write 2, carry 1
- Hundreds: 8 + 4 + 1 = 13 → write 3, carry 1
- Thousands: 6 + 0 + 1 = 7
→ 7326
Check: 6872 + 454 = 7326 ✔️
Last digit 6 → even → NOT odd.
---
Problem 8: 2908 - 1694
- Ones: 8 - 4 = 4
- Tens: 0 - 9 → borrow. Hundreds is 9 → becomes 8, tens become 10. 10 - 9 = 1
- Hundreds: 8 - 6 = 2
- Thousands: 2 - 1 = 1
→ 1214
Check: 2908 - 1694 = 1214 ✔️
Last digit 4 → even → NOT odd.
---
Problem 9: 5378 + 3054
- Ones: 8 + 4 = 12 → write 2, carry 1
- Tens: 7 + 5 + 1 = 13 → write 3, carry 1
- Hundreds: 3 + 0 + 1 = 4
- Thousands: 5 + 3 = 8
→ 8432
Check: 5378 + 3054 = 8432 ✔️
Last digit 2 → even → NOT odd.
---
Problem 10: 1713 - 976
- Ones: 3 - 6 → borrow. Tens is 1 → becomes 0, ones become 13. 13 - 6 = 7
- Tens: 0 - 7 → borrow. Hundreds is 7 → becomes 6, tens become 10. 10 - 7 = 3
- Hundreds: 6 - 9 → borrow. Thousands is 1 → becomes 0, hundreds become 16. 16 - 9 = 7
- Thousands: 0 → not written
→ 737
Check: 1713 - 976 = 737 ✔️
Last digit 7 → odd → YES.
---
Problem 11: 6718 + 1591
- Ones: 8 + 1 = 9
- Tens: 1 + 9 = 10 → write 0, carry 1
- Hundreds: 7 + 5 + 1 = 13 → write 3, carry 1
- Thousands: 6 + 1 + 1 = 8
→ 8309
Check: 6718 + 1591 = 8309 ✔️
Last digit 9 → odd → YES.
---
Problem 12: 4625 - 3185
- Ones: 5 - 5 = 0
- Tens: 2 - 8 → borrow. Hundreds is 6 → becomes 5, tens become 12. 12 - 8 = 4
- Hundreds: 5 - 1 = 4
- Thousands: 4 - 3 = 1
→ 1440
Check: 4625 - 3185 = 1440 ✔️
Last digit 0 → even → NOT odd.
---
Problem 13: 6527 + 2371
- Ones: 7 + 1 = 8
- Tens: 2 + 7 = 9
- Hundreds: 5 + 3 = 8
- Thousands: 6 + 2 = 8
→ 8898
Check: 6527 + 2371 = 8898 ✔️
Last digit 8 → even → NOT odd.
---
Problem 14: 7892 - 2977
- Ones: 2 - 7 → borrow. Tens is 9 → becomes 8, ones become 12. 12 - 7 = 5
- Tens: 8 - 7 = 1
- Hundreds: 8 - 9 → borrow. Thousands is 7 → becomes 6, hundreds become 18. 18 - 9 = 9
- Thousands: 6 - 2 = 4
→ 4915
Check: 7892 - 2977 = 4915 ✔️
Last digit 5 → odd → YES.
---
Problem 15: 9160 + 685
Align:
9160
+ 685
= ?
- Ones: 0 + 5 = 5
- Tens: 6 + 8 = 14 → write 4, carry 1
- Hundreds: 1 + 6 + 1 = 8
- Thousands: 9 + 0 = 9
→ 9845
Check: 9160 + 685 = 9845 ✔️
Last digit 5 → odd → YES.
---
Problem 16: 4760 - 3823
- Ones: 0 - 3 → borrow. Tens is 6 → becomes 5, ones become 10. 10 - 3 = 7
- Tens: 5 - 2 = 3
- Hundreds: 7 - 8 → borrow. Thousands is 4 → becomes 3, hundreds become 17. 17 - 8 = 9
- Thousands: 3 - 3 = 0 → not written
→ 937
Check: 4760 - 3823 = 937 ✔️
Last digit 7 → odd → YES.
---
Problem 17: 6038 + 1497
- Ones: 8 + 7 = 15 → write 5, carry 1
- Tens: 3 + 9 + 1 = 13 → write 3, carry 1
- Hundreds: 0 + 4 + 1 = 5
- Thousands: 6 + 1 = 7
→ 7535
Check: 6038 + 1497 = 7535 ✔️
Last digit 5 → odd → YES.
---
Problem 18: 5380 - 2614
- Ones: 0 - 4 → borrow. Tens is 8 → becomes 7, ones become 10. 10 - 4 = 6
- Tens: 7 - 1 = 6
- Hundreds: 3 - 6 → borrow. Thousands is 5 → becomes 4, hundreds become 13. 13 - 6 = 7
- Thousands: 4 - 2 = 2
→ 2766
Check: 5380 - 2614 = 2766 ✔️
Last digit 6 → even → NOT odd.
---
Problem 19: 8781 + 3829
- Ones: 1 + 9 = 10 → write 0, carry 1
- Tens: 8 + 2 + 1 = 11 → write 1, carry 1
- Hundreds: 7 + 8 + 1 = 16 → write 6, carry 1
- Thousands: 8 + 3 + 1 = 12 → write 2, carry 1 → ten-thousands: 1
→ 12610
Check: 8781 + 3829 = 12610 ✔️
Last digit 0 → even → NOT odd.
---
Problem 20: 7020 - 1846
- Ones: 0 - 6 → borrow. Tens is 2 → becomes 1, ones become 10. 10 - 6 = 4
- Tens: 1 - 4 → borrow. Hundreds is 0 → need to go to thousands. Thousands is 7 → becomes 6, hundreds become 10. Then borrow from hundreds: hundreds become 9, tens become 11. 11 - 4 = 7
- Hundreds: 9 - 8 = 1
- Thousands: 6 - 1 = 5
→ 5174
Check: 7020 - 1846 = 5174 ✔️
Last digit 4 → even → NOT odd.
---
Now, let’s list which answers are odd numbers (end in 1, 3, 5, 7, 9):
From above:
✔ Problem 1: 9575 → odd
✔ Problem 4: 3581 → odd
✔ Problem 10: 737 → odd
✔ Problem 11: 8309 → odd
✔ Problem 14: 4915 → odd
✔ Problem 15: 9845 → odd
✔ Problem 16: 937 → odd
✔ Problem 17: 7535 → odd
That’s 8 problems with odd answers.
Final Answer:
The problems that have odd number answers are: 1, 4, 10, 11, 14, 15, 16, 17.
---
Problem 1: 6318 + 3257
Start from the right:
- Ones: 8 + 7 = 15 → write 5, carry 1
- Tens: 1 + 5 + 1 (carry) = 7
- Hundreds: 3 + 2 = 5
- Thousands: 6 + 3 = 9
→ 9575
Check: 6318 + 3257 = 9575 ✔️
Is 9575 odd? Last digit is 5 → YES, it’s odd.
---
Problem 2: 4509 - 3263
Subtract column by column:
- Ones: 9 - 3 = 6
- Tens: 0 - 6 → can’t do, borrow from hundreds. But hundreds is 5 → becomes 4, tens become 10. Now 10 - 6 = 4
- Hundreds: 4 (after borrow) - 2 = 2
- Thousands: 4 - 3 = 1
→ 1246
Check: 4509 - 3263 = 1246 ✔️
Last digit 6 → even → NOT odd.
---
Problem 3: 5731 + 2655
- Ones: 1 + 5 = 6
- Tens: 3 + 5 = 8
- Hundreds: 7 + 6 = 13 → write 3, carry 1
- Thousands: 5 + 2 + 1 = 8
→ 8386
Check: 5731 + 2655 = 8386 ✔️
Last digit 6 → even → NOT odd.
---
Problem 4: 9864 - 6283
- Ones: 4 - 3 = 1
- Tens: 6 - 8 → borrow from hundreds. Hundreds is 8 → becomes 7, tens become 16. 16 - 8 = 8
- Hundreds: 7 - 2 = 5
- Thousands: 9 - 6 = 3
→ 3581
Check: 9864 - 6283 = 3581 ✔️
Last digit 1 → odd → YES.
---
Problem 5: 1629 + 4535
- Ones: 9 + 5 = 14 → write 4, carry 1
- Tens: 2 + 3 + 1 = 6
- Hundreds: 6 + 5 = 11 → write 1, carry 1
- Thousands: 1 + 4 + 1 = 6
→ 6164
Check: 1629 + 4535 = 6164 ✔️
Last digit 4 → even → NOT odd.
---
Problem 6: 2471 - 2329
- Ones: 1 - 9 → borrow. Tens is 7 → becomes 6, ones become 11. 11 - 9 = 2
- Tens: 6 - 2 = 4
- Hundreds: 4 - 3 = 1
- Thousands: 2 - 2 = 0 → don’t write leading zero
→ 142
Check: 2471 - 2329 = 142 ✔️
Last digit 2 → even → NOT odd.
---
Problem 7: 6872 + 454
Align properly:
6872
+ 454
= ?
- Ones: 2 + 4 = 6
- Tens: 7 + 5 = 12 → write 2, carry 1
- Hundreds: 8 + 4 + 1 = 13 → write 3, carry 1
- Thousands: 6 + 0 + 1 = 7
→ 7326
Check: 6872 + 454 = 7326 ✔️
Last digit 6 → even → NOT odd.
---
Problem 8: 2908 - 1694
- Ones: 8 - 4 = 4
- Tens: 0 - 9 → borrow. Hundreds is 9 → becomes 8, tens become 10. 10 - 9 = 1
- Hundreds: 8 - 6 = 2
- Thousands: 2 - 1 = 1
→ 1214
Check: 2908 - 1694 = 1214 ✔️
Last digit 4 → even → NOT odd.
---
Problem 9: 5378 + 3054
- Ones: 8 + 4 = 12 → write 2, carry 1
- Tens: 7 + 5 + 1 = 13 → write 3, carry 1
- Hundreds: 3 + 0 + 1 = 4
- Thousands: 5 + 3 = 8
→ 8432
Check: 5378 + 3054 = 8432 ✔️
Last digit 2 → even → NOT odd.
---
Problem 10: 1713 - 976
- Ones: 3 - 6 → borrow. Tens is 1 → becomes 0, ones become 13. 13 - 6 = 7
- Tens: 0 - 7 → borrow. Hundreds is 7 → becomes 6, tens become 10. 10 - 7 = 3
- Hundreds: 6 - 9 → borrow. Thousands is 1 → becomes 0, hundreds become 16. 16 - 9 = 7
- Thousands: 0 → not written
→ 737
Check: 1713 - 976 = 737 ✔️
Last digit 7 → odd → YES.
---
Problem 11: 6718 + 1591
- Ones: 8 + 1 = 9
- Tens: 1 + 9 = 10 → write 0, carry 1
- Hundreds: 7 + 5 + 1 = 13 → write 3, carry 1
- Thousands: 6 + 1 + 1 = 8
→ 8309
Check: 6718 + 1591 = 8309 ✔️
Last digit 9 → odd → YES.
---
Problem 12: 4625 - 3185
- Ones: 5 - 5 = 0
- Tens: 2 - 8 → borrow. Hundreds is 6 → becomes 5, tens become 12. 12 - 8 = 4
- Hundreds: 5 - 1 = 4
- Thousands: 4 - 3 = 1
→ 1440
Check: 4625 - 3185 = 1440 ✔️
Last digit 0 → even → NOT odd.
---
Problem 13: 6527 + 2371
- Ones: 7 + 1 = 8
- Tens: 2 + 7 = 9
- Hundreds: 5 + 3 = 8
- Thousands: 6 + 2 = 8
→ 8898
Check: 6527 + 2371 = 8898 ✔️
Last digit 8 → even → NOT odd.
---
Problem 14: 7892 - 2977
- Ones: 2 - 7 → borrow. Tens is 9 → becomes 8, ones become 12. 12 - 7 = 5
- Tens: 8 - 7 = 1
- Hundreds: 8 - 9 → borrow. Thousands is 7 → becomes 6, hundreds become 18. 18 - 9 = 9
- Thousands: 6 - 2 = 4
→ 4915
Check: 7892 - 2977 = 4915 ✔️
Last digit 5 → odd → YES.
---
Problem 15: 9160 + 685
Align:
9160
+ 685
= ?
- Ones: 0 + 5 = 5
- Tens: 6 + 8 = 14 → write 4, carry 1
- Hundreds: 1 + 6 + 1 = 8
- Thousands: 9 + 0 = 9
→ 9845
Check: 9160 + 685 = 9845 ✔️
Last digit 5 → odd → YES.
---
Problem 16: 4760 - 3823
- Ones: 0 - 3 → borrow. Tens is 6 → becomes 5, ones become 10. 10 - 3 = 7
- Tens: 5 - 2 = 3
- Hundreds: 7 - 8 → borrow. Thousands is 4 → becomes 3, hundreds become 17. 17 - 8 = 9
- Thousands: 3 - 3 = 0 → not written
→ 937
Check: 4760 - 3823 = 937 ✔️
Last digit 7 → odd → YES.
---
Problem 17: 6038 + 1497
- Ones: 8 + 7 = 15 → write 5, carry 1
- Tens: 3 + 9 + 1 = 13 → write 3, carry 1
- Hundreds: 0 + 4 + 1 = 5
- Thousands: 6 + 1 = 7
→ 7535
Check: 6038 + 1497 = 7535 ✔️
Last digit 5 → odd → YES.
---
Problem 18: 5380 - 2614
- Ones: 0 - 4 → borrow. Tens is 8 → becomes 7, ones become 10. 10 - 4 = 6
- Tens: 7 - 1 = 6
- Hundreds: 3 - 6 → borrow. Thousands is 5 → becomes 4, hundreds become 13. 13 - 6 = 7
- Thousands: 4 - 2 = 2
→ 2766
Check: 5380 - 2614 = 2766 ✔️
Last digit 6 → even → NOT odd.
---
Problem 19: 8781 + 3829
- Ones: 1 + 9 = 10 → write 0, carry 1
- Tens: 8 + 2 + 1 = 11 → write 1, carry 1
- Hundreds: 7 + 8 + 1 = 16 → write 6, carry 1
- Thousands: 8 + 3 + 1 = 12 → write 2, carry 1 → ten-thousands: 1
→ 12610
Check: 8781 + 3829 = 12610 ✔️
Last digit 0 → even → NOT odd.
---
Problem 20: 7020 - 1846
- Ones: 0 - 6 → borrow. Tens is 2 → becomes 1, ones become 10. 10 - 6 = 4
- Tens: 1 - 4 → borrow. Hundreds is 0 → need to go to thousands. Thousands is 7 → becomes 6, hundreds become 10. Then borrow from hundreds: hundreds become 9, tens become 11. 11 - 4 = 7
- Hundreds: 9 - 8 = 1
- Thousands: 6 - 1 = 5
→ 5174
Check: 7020 - 1846 = 5174 ✔️
Last digit 4 → even → NOT odd.
---
Now, let’s list which answers are odd numbers (end in 1, 3, 5, 7, 9):
From above:
✔ Problem 1: 9575 → odd
✔ Problem 4: 3581 → odd
✔ Problem 10: 737 → odd
✔ Problem 11: 8309 → odd
✔ Problem 14: 4915 → odd
✔ Problem 15: 9845 → odd
✔ Problem 16: 937 → odd
✔ Problem 17: 7535 → odd
That’s 8 problems with odd answers.
Final Answer:
The problems that have odd number answers are: 1, 4, 10, 11, 14, 15, 16, 17.
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction math worksheet.
