Subtraction of four-digit numbers (with regrouping) - no.3 ... - Free Printable
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Step-by-step solution for: Subtraction of four-digit numbers (with regrouping) - no.3 ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction of four-digit numbers (with regrouping) - no.3 ...
Let’s solve each subtraction problem step by step. We’ll go one at a time, carefully regrouping (borrowing) when needed.
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1) 6355 - 3487
Start from the right:
- Ones: 5 - 7 → can’t do, borrow from tens. Tens is 5, becomes 4; ones become 15. 15 - 7 = 8
- Tens: 4 - 8 → can’t do, borrow from hundreds. Hundreds is 3, becomes 2; tens become 14. 14 - 8 = 6
- Hundreds: 2 - 4 → can’t do, borrow from thousands. Thousands is 6, becomes 5; hundreds become 12. 12 - 4 = 8
- Thousands: 5 - 3 = 2
→ 2868
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2) 7979 - 2086
- Ones: 9 - 6 = 3
- Tens: 7 - 8 → can’t do, borrow from hundreds. Hundreds is 9 → becomes 8; tens become 17. 17 - 8 = 9
- Hundreds: 8 - 0 = 8
- Thousands: 7 - 2 = 5
→ 5893
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3) 9092 - 888
Write as 9092 - 0888 to align digits.
- Ones: 2 - 8 → borrow. Tens is 9 → becomes 8; ones become 12. 12 - 8 = 4
- Tens: 8 - 8 = 0
- Hundreds: 0 - 8 → can’t do, borrow from thousands. Thousands is 9 → becomes 8; hundreds become 10. 10 - 8 = 2
- Thousands: 8 - 0 = 8
→ 8204
Wait — let me double-check that.
Actually, 9092 - 888:
Think of it as:
9092
- 888
= ?
We can also think: 9092 - 800 = 8292; then 8292 - 88 = 8204 → yes, correct.
→ 8204
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4) 9156 - 6858
- Ones: 6 - 8 → borrow. Tens is 5 → becomes 4; ones become 16. 16 - 8 = 8
- Tens: 4 - 5 → borrow. Hundreds is 1 → becomes 0; tens become 14. 14 - 5 = 9
- Hundreds: 0 - 8 → borrow. Thousands is 9 → becomes 8; hundreds become 10. 10 - 8 = 2
- Thousands: 8 - 6 = 2
→ 2298
Check: 6858 + 2298 = 9156?
6858 + 2000 = 8858; +298 = 9156 → yes.
→ 2298
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5) 5089 - 4883
- Ones: 9 - 3 = 6
- Tens: 8 - 8 = 0
- Hundreds: 0 - 8 → borrow. Thousands is 5 → becomes 4; hundreds become 10. 10 - 8 = 2
- Thousands: 4 - 4 = 0
→ 206
Wait — leading zero? So answer is 206
Check: 4883 + 206 = 5089 → yes.
→ 206
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6) 7726 - 1888
- Ones: 6 - 8 → borrow. Tens is 2 → becomes 1; ones become 16. 16 - 8 = 8
- Tens: 1 - 8 → borrow. Hundreds is 7 → becomes 6; tens become 11. 11 - 8 = 3
- Hundreds: 6 - 8 → borrow. Thousands is 7 → becomes 6; hundreds become 16. 16 - 8 = 8
- Thousands: 6 - 1 = 5
→ 5838
Check: 1888 + 5838 = 7726?
1888 + 5000 = 6888; +838 = 7726 → yes.
→ 5838
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7) 5596 - 4955
- Ones: 6 - 5 = 1
- Tens: 9 - 5 = 4
- Hundreds: 5 - 9 → borrow. Thousands is 5 → becomes 4; hundreds become 15. 15 - 9 = 6
- Thousands: 4 - 4 = 0
→ 641
Check: 4955 + 641 = 5596 → yes.
→ 641
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8) 3936 - 1284
- Ones: 6 - 4 = 2
- Tens: 3 - 8 → borrow. Hundreds is 9 → becomes 8; tens become 13. 13 - 8 = 5
- Hundreds: 8 - 2 = 6
- Thousands: 3 - 1 = 2
→ 2652
Check: 1284 + 2652 = 3936 → yes.
→ 2652
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9) 8242 - 7768
- Ones: 2 - 8 → borrow. Tens is 4 → becomes 3; ones become 12. 12 - 8 = 4
- Tens: 3 - 6 → borrow. Hundreds is 2 → becomes 1; tens become 13. 13 - 6 = 7
- Hundreds: 1 - 7 → borrow. Thousands is 8 → becomes 7; hundreds become 11. 11 - 7 = 4
- Thousands: 7 - 7 = 0
→ 474
Check: 7768 + 474 = 8242 → yes.
→ 474
---
10) 7493 - 1558
- Ones: 3 - 8 → borrow. Tens is 9 → becomes 8; ones become 13. 13 - 8 = 5
- Tens: 8 - 5 = 3
- Hundreds: 4 - 5 → borrow. Thousands is 7 → becomes 6; hundreds become 14. 14 - 5 = 9
- Thousands: 6 - 1 = 5
→ 5935
Check: 1558 + 5935 = 7493 → yes.
→ 5935
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11) 4526 - 1887
- Ones: 6 - 7 → borrow. Tens is 2 → becomes 1; ones become 16. 16 - 7 = 9
- Tens: 1 - 8 → borrow. Hundreds is 5 → becomes 4; tens become 11. 11 - 8 = 3
- Hundreds: 4 - 8 → borrow. Thousands is 4 → becomes 3; hundreds become 14. 14 - 8 = 6
- Thousands: 3 - 1 = 2
→ 2639
Check: 1887 + 2639 = 4526 → yes.
→ 2639
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12) 3970 - 3772
- Ones: 0 - 2 → borrow. Tens is 7 → becomes 6; ones become 10. 10 - 2 = 8
- Tens: 6 - 7 → borrow. Hundreds is 9 → becomes 8; tens become 16. 16 - 7 = 9
- Hundreds: 8 - 7 = 1
- Thousands: 3 - 3 = 0
→ 198
Check: 3772 + 198 = 3970 → yes.
→ 198
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Final Answer:
1) 2868
2) 5893
3) 8204
4) 2298
5) 206
6) 5838
7) 641
8) 2652
9) 474
10) 5935
11) 2639
12) 198
---
1) 6355 - 3487
Start from the right:
- Ones: 5 - 7 → can’t do, borrow from tens. Tens is 5, becomes 4; ones become 15. 15 - 7 = 8
- Tens: 4 - 8 → can’t do, borrow from hundreds. Hundreds is 3, becomes 2; tens become 14. 14 - 8 = 6
- Hundreds: 2 - 4 → can’t do, borrow from thousands. Thousands is 6, becomes 5; hundreds become 12. 12 - 4 = 8
- Thousands: 5 - 3 = 2
→ 2868
---
2) 7979 - 2086
- Ones: 9 - 6 = 3
- Tens: 7 - 8 → can’t do, borrow from hundreds. Hundreds is 9 → becomes 8; tens become 17. 17 - 8 = 9
- Hundreds: 8 - 0 = 8
- Thousands: 7 - 2 = 5
→ 5893
---
3) 9092 - 888
Write as 9092 - 0888 to align digits.
- Ones: 2 - 8 → borrow. Tens is 9 → becomes 8; ones become 12. 12 - 8 = 4
- Tens: 8 - 8 = 0
- Hundreds: 0 - 8 → can’t do, borrow from thousands. Thousands is 9 → becomes 8; hundreds become 10. 10 - 8 = 2
- Thousands: 8 - 0 = 8
→ 8204
Wait — let me double-check that.
Actually, 9092 - 888:
Think of it as:
9092
- 888
= ?
We can also think: 9092 - 800 = 8292; then 8292 - 88 = 8204 → yes, correct.
→ 8204
---
4) 9156 - 6858
- Ones: 6 - 8 → borrow. Tens is 5 → becomes 4; ones become 16. 16 - 8 = 8
- Tens: 4 - 5 → borrow. Hundreds is 1 → becomes 0; tens become 14. 14 - 5 = 9
- Hundreds: 0 - 8 → borrow. Thousands is 9 → becomes 8; hundreds become 10. 10 - 8 = 2
- Thousands: 8 - 6 = 2
→ 2298
Check: 6858 + 2298 = 9156?
6858 + 2000 = 8858; +298 = 9156 → yes.
→ 2298
---
5) 5089 - 4883
- Ones: 9 - 3 = 6
- Tens: 8 - 8 = 0
- Hundreds: 0 - 8 → borrow. Thousands is 5 → becomes 4; hundreds become 10. 10 - 8 = 2
- Thousands: 4 - 4 = 0
→ 206
Wait — leading zero? So answer is 206
Check: 4883 + 206 = 5089 → yes.
→ 206
---
6) 7726 - 1888
- Ones: 6 - 8 → borrow. Tens is 2 → becomes 1; ones become 16. 16 - 8 = 8
- Tens: 1 - 8 → borrow. Hundreds is 7 → becomes 6; tens become 11. 11 - 8 = 3
- Hundreds: 6 - 8 → borrow. Thousands is 7 → becomes 6; hundreds become 16. 16 - 8 = 8
- Thousands: 6 - 1 = 5
→ 5838
Check: 1888 + 5838 = 7726?
1888 + 5000 = 6888; +838 = 7726 → yes.
→ 5838
---
7) 5596 - 4955
- Ones: 6 - 5 = 1
- Tens: 9 - 5 = 4
- Hundreds: 5 - 9 → borrow. Thousands is 5 → becomes 4; hundreds become 15. 15 - 9 = 6
- Thousands: 4 - 4 = 0
→ 641
Check: 4955 + 641 = 5596 → yes.
→ 641
---
8) 3936 - 1284
- Ones: 6 - 4 = 2
- Tens: 3 - 8 → borrow. Hundreds is 9 → becomes 8; tens become 13. 13 - 8 = 5
- Hundreds: 8 - 2 = 6
- Thousands: 3 - 1 = 2
→ 2652
Check: 1284 + 2652 = 3936 → yes.
→ 2652
---
9) 8242 - 7768
- Ones: 2 - 8 → borrow. Tens is 4 → becomes 3; ones become 12. 12 - 8 = 4
- Tens: 3 - 6 → borrow. Hundreds is 2 → becomes 1; tens become 13. 13 - 6 = 7
- Hundreds: 1 - 7 → borrow. Thousands is 8 → becomes 7; hundreds become 11. 11 - 7 = 4
- Thousands: 7 - 7 = 0
→ 474
Check: 7768 + 474 = 8242 → yes.
→ 474
---
10) 7493 - 1558
- Ones: 3 - 8 → borrow. Tens is 9 → becomes 8; ones become 13. 13 - 8 = 5
- Tens: 8 - 5 = 3
- Hundreds: 4 - 5 → borrow. Thousands is 7 → becomes 6; hundreds become 14. 14 - 5 = 9
- Thousands: 6 - 1 = 5
→ 5935
Check: 1558 + 5935 = 7493 → yes.
→ 5935
---
11) 4526 - 1887
- Ones: 6 - 7 → borrow. Tens is 2 → becomes 1; ones become 16. 16 - 7 = 9
- Tens: 1 - 8 → borrow. Hundreds is 5 → becomes 4; tens become 11. 11 - 8 = 3
- Hundreds: 4 - 8 → borrow. Thousands is 4 → becomes 3; hundreds become 14. 14 - 8 = 6
- Thousands: 3 - 1 = 2
→ 2639
Check: 1887 + 2639 = 4526 → yes.
→ 2639
---
12) 3970 - 3772
- Ones: 0 - 2 → borrow. Tens is 7 → becomes 6; ones become 10. 10 - 2 = 8
- Tens: 6 - 7 → borrow. Hundreds is 9 → becomes 8; tens become 16. 16 - 7 = 9
- Hundreds: 8 - 7 = 1
- Thousands: 3 - 3 = 0
→ 198
Check: 3772 + 198 = 3970 → yes.
→ 198
---
Final Answer:
1) 2868
2) 5893
3) 8204
4) 2298
5) 206
6) 5838
7) 641
8) 2652
9) 474
10) 5935
11) 2639
12) 198
Parent Tip: Review the logic above to help your child master the concept of subtracting 3 digit numbers with regrouping worksheet.
