Printable worksheet for practicing 3-digit subtraction using the column method with borrowing.
Column method subtraction worksheet with 3-digit numbers and borrowing, featuring 16 problems, a "Marvellous Mathematician /20" badge, and space for name and date.
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Show Answer Key & Explanations
Step-by-step solution for: free printable column method worksheet addition and subtraction
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Show Answer Key & Explanations
Step-by-step solution for: free printable column method worksheet addition and subtraction
The task involves solving a series of 3-digit subtraction problems using the column method, with borrowing where necessary. Below is the step-by-step solution for each problem:
---
```
831
- 292
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 9\). Since 2 is less than 9, borrow 1 from the hundreds place (8 becomes 7).
- New tens: \(12 - 9 = 3\)
3. Subtract the hundreds place: \(7 - 2 = 5\)
Answer:
```
831
- 292
------
539
```
---
```
936
- 427
------
```
1. Subtract the units place: \(6 - 7\). Since 6 is less than 7, borrow 1 from the tens place (3 becomes 2).
- New units: \(16 - 7 = 9\)
2. Subtract the tens place: \(2 - 2 = 0\)
3. Subtract the hundreds place: \(9 - 4 = 5\)
Answer:
```
936
- 427
------
509
```
---
```
771
- 143
------
```
1. Subtract the units place: \(1 - 3\). Since 1 is less than 3, borrow 1 from the tens place (7 becomes 6).
- New units: \(11 - 3 = 8\)
2. Subtract the tens place: \(6 - 4 = 2\)
3. Subtract the hundreds place: \(7 - 1 = 6\)
Answer:
```
771
- 143
------
628
```
---
```
519
- 253
------
```
1. Subtract the units place: \(9 - 3 = 6\)
2. Subtract the tens place: \(1 - 5\). Since 1 is less than 5, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(11 - 5 = 6\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
519
- 253
------
266
```
---
```
316
- 127
------
```
1. Subtract the units place: \(6 - 7\). Since 6 is less than 7, borrow 1 from the tens place (1 becomes 0).
- New units: \(16 - 7 = 9\)
2. Subtract the tens place: \(0 - 2\). Since 0 is less than 2, borrow 1 from the hundreds place (3 becomes 2).
- New tens: \(10 - 2 = 8\)
3. Subtract the hundreds place: \(2 - 1 = 1\)
Answer:
```
316
- 127
------
189
```
---
```
731
- 512
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 1 = 1\)
3. Subtract the hundreds place: \(7 - 5 = 2\)
Answer:
```
731
- 512
------
219
```
---
```
736
- 615
------
```
1. Subtract the units place: \(6 - 5 = 1\)
2. Subtract the tens place: \(3 - 1 = 2\)
3. Subtract the hundreds place: \(7 - 6 = 1\)
Answer:
```
736
- 615
------
121
```
---
```
554
- 364
------
```
1. Subtract the units place: \(4 - 4 = 0\)
2. Subtract the tens place: \(5 - 6\). Since 5 is less than 6, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(15 - 6 = 9\)
3. Subtract the hundreds place: \(4 - 3 = 1\)
Answer:
```
554
- 364
------
190
```
---
```
631
- 192
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 9\). Since 2 is less than 9, borrow 1 from the hundreds place (6 becomes 5).
- New tens: \(12 - 9 = 3\)
3. Subtract the hundreds place: \(5 - 1 = 4\)
Answer:
```
631
- 192
------
439
```
---
```
601
- 292
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (0 becomes 9).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(9 - 9 = 0\)
3. Subtract the hundreds place: \(6 - 2 = 4\)
Answer:
```
601
- 292
------
309
```
---
```
531
- 292
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 9\). Since 2 is less than 9, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(12 - 9 = 3\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
531
- 292
------
239
```
---
```
839
- 607
------
```
1. Subtract the units place: \(9 - 7 = 2\)
2. Subtract the tens place: \(3 - 0 = 3\)
3. Subtract the hundreds place: \(8 - 6 = 2\)
Answer:
```
839
- 607
------
232
```
---
```
501
- 290
------
```
1. Subtract the units place: \(1 - 0 = 1\)
2. Subtract the tens place: \(0 - 9\). Since 0 is less than 9, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(10 - 9 = 1\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
501
- 290
------
211
```
---
```
787
- 492
------
```
1. Subtract the units place: \(7 - 2 = 5\)
2. Subtract the tens place: \(8 - 9\). Since 8 is less than 9, borrow 1 from the hundreds place (7 becomes 6).
- New tens: \(18 - 9 = 9\)
3. Subtract the hundreds place: \(6 - 4 = 2\)
Answer:
```
787
- 492
------
295
```
---
```
500
- 176
------
```
1. Subtract the units place: \(0 - 6\). Since 0 is less than 6, borrow 1 from the tens place (0 becomes 9).
- New units: \(10 - 6 = 4\)
2. Subtract the tens place: \(9 - 7 = 2\)
3. Subtract the hundreds place: \(4 - 1 = 3\)
Answer:
```
500
- 176
------
324
```
---
```
870
- 648
------
```
1. Subtract the units place: \(0 - 8\). Since 0 is less than 8, borrow 1 from the tens place (7 becomes 6).
- New units: \(10 - 8 = 2\)
2. Subtract the tens place: \(6 - 4 = 2\)
3. Subtract the hundreds place: \(8 - 6 = 2\)
Answer:
```
870
- 648
------
222
```
---
```
701
- 299
------
```
1. Subtract the units place: \(1 - 9\). Since 1 is less than 9, borrow 1 from the tens place (0 becomes 9).
- New units: \(11 - 9 = 2\)
2. Subtract the tens place: \(9 - 9 = 0\)
3. Subtract the hundreds place: \(6 - 2 = 4\) (since we borrowed 1 from 7)
Answer:
```
701
- 299
------
402
```
---
```
781
- 590
------
```
1. Subtract the units place: \(1 - 0 = 1\)
2. Subtract the tens place: \(8 - 9\). Since 8 is less than 9, borrow 1 from the hundreds place (7 becomes 6).
- New tens: \(18 - 9 = 9\)
3. Subtract the hundreds place: \(6 - 5 = 1\)
Answer:
```
781
- 590
------
191
```
---
```
510
- 229
------
```
1. Subtract the units place: \(0 - 9\). Since 0 is less than 9, borrow 1 from the tens place (1 becomes 0).
- New units: \(10 - 9 = 1\)
2. Subtract the tens place: \(0 - 2\). Since 0 is less than 2, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(10 - 2 = 8\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
510
- 229
------
281
```
---
```
774
- 117
------
```
1. Subtract the units place: \(4 - 7\). Since 4 is less than 7, borrow 1 from the tens place (7 becomes 6).
- New units: \(14 - 7 = 7\)
2. Subtract the tens place: \(6 - 1 = 5\)
3. Subtract the hundreds place: \(7 - 1 = 6\)
Answer:
```
774
- 117
------
657
```
---
```
831 936 771 519
- 292 -427 -143 -253
------ ------ ------ ------
539 509 628 266
316 731 736 554
- 127 -512 -615 -364
------ ------ ------ ------
189 219 121 190
631 601 531 839
- 192 -292 -292 -607
------ ------ ------ ------
439 309 239 232
501 787 500 870
- 290 -492 -176 -648
------ ------ ------ ------
211 295 324 222
701 781 510 774
- 299 -590 -229 -117
------ ------ ------ ------
402 191 281 657
```
Boxed Final Answer:
\[
\boxed{
\begin{array}{cccc}
539 & 509 & 628 & 266 \\
189 & 219 & 121 & 190 \\
439 & 309 & 239 & 232 \\
211 & 295 & 324 & 222 \\
402 & 191 & 281 & 657 \\
\end{array}
}
\]
---
Problem 1:
```
831
- 292
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 9\). Since 2 is less than 9, borrow 1 from the hundreds place (8 becomes 7).
- New tens: \(12 - 9 = 3\)
3. Subtract the hundreds place: \(7 - 2 = 5\)
Answer:
```
831
- 292
------
539
```
---
Problem 2:
```
936
- 427
------
```
1. Subtract the units place: \(6 - 7\). Since 6 is less than 7, borrow 1 from the tens place (3 becomes 2).
- New units: \(16 - 7 = 9\)
2. Subtract the tens place: \(2 - 2 = 0\)
3. Subtract the hundreds place: \(9 - 4 = 5\)
Answer:
```
936
- 427
------
509
```
---
Problem 3:
```
771
- 143
------
```
1. Subtract the units place: \(1 - 3\). Since 1 is less than 3, borrow 1 from the tens place (7 becomes 6).
- New units: \(11 - 3 = 8\)
2. Subtract the tens place: \(6 - 4 = 2\)
3. Subtract the hundreds place: \(7 - 1 = 6\)
Answer:
```
771
- 143
------
628
```
---
Problem 4:
```
519
- 253
------
```
1. Subtract the units place: \(9 - 3 = 6\)
2. Subtract the tens place: \(1 - 5\). Since 1 is less than 5, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(11 - 5 = 6\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
519
- 253
------
266
```
---
Problem 5:
```
316
- 127
------
```
1. Subtract the units place: \(6 - 7\). Since 6 is less than 7, borrow 1 from the tens place (1 becomes 0).
- New units: \(16 - 7 = 9\)
2. Subtract the tens place: \(0 - 2\). Since 0 is less than 2, borrow 1 from the hundreds place (3 becomes 2).
- New tens: \(10 - 2 = 8\)
3. Subtract the hundreds place: \(2 - 1 = 1\)
Answer:
```
316
- 127
------
189
```
---
Problem 6:
```
731
- 512
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 1 = 1\)
3. Subtract the hundreds place: \(7 - 5 = 2\)
Answer:
```
731
- 512
------
219
```
---
Problem 7:
```
736
- 615
------
```
1. Subtract the units place: \(6 - 5 = 1\)
2. Subtract the tens place: \(3 - 1 = 2\)
3. Subtract the hundreds place: \(7 - 6 = 1\)
Answer:
```
736
- 615
------
121
```
---
Problem 8:
```
554
- 364
------
```
1. Subtract the units place: \(4 - 4 = 0\)
2. Subtract the tens place: \(5 - 6\). Since 5 is less than 6, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(15 - 6 = 9\)
3. Subtract the hundreds place: \(4 - 3 = 1\)
Answer:
```
554
- 364
------
190
```
---
Problem 9:
```
631
- 192
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 9\). Since 2 is less than 9, borrow 1 from the hundreds place (6 becomes 5).
- New tens: \(12 - 9 = 3\)
3. Subtract the hundreds place: \(5 - 1 = 4\)
Answer:
```
631
- 192
------
439
```
---
Problem 10:
```
601
- 292
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (0 becomes 9).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(9 - 9 = 0\)
3. Subtract the hundreds place: \(6 - 2 = 4\)
Answer:
```
601
- 292
------
309
```
---
Problem 11:
```
531
- 292
------
```
1. Subtract the units place: \(1 - 2\). Since 1 is less than 2, borrow 1 from the tens place (3 becomes 2).
- New units: \(11 - 2 = 9\)
2. Subtract the tens place: \(2 - 9\). Since 2 is less than 9, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(12 - 9 = 3\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
531
- 292
------
239
```
---
Problem 12:
```
839
- 607
------
```
1. Subtract the units place: \(9 - 7 = 2\)
2. Subtract the tens place: \(3 - 0 = 3\)
3. Subtract the hundreds place: \(8 - 6 = 2\)
Answer:
```
839
- 607
------
232
```
---
Problem 13:
```
501
- 290
------
```
1. Subtract the units place: \(1 - 0 = 1\)
2. Subtract the tens place: \(0 - 9\). Since 0 is less than 9, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(10 - 9 = 1\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
501
- 290
------
211
```
---
Problem 14:
```
787
- 492
------
```
1. Subtract the units place: \(7 - 2 = 5\)
2. Subtract the tens place: \(8 - 9\). Since 8 is less than 9, borrow 1 from the hundreds place (7 becomes 6).
- New tens: \(18 - 9 = 9\)
3. Subtract the hundreds place: \(6 - 4 = 2\)
Answer:
```
787
- 492
------
295
```
---
Problem 15:
```
500
- 176
------
```
1. Subtract the units place: \(0 - 6\). Since 0 is less than 6, borrow 1 from the tens place (0 becomes 9).
- New units: \(10 - 6 = 4\)
2. Subtract the tens place: \(9 - 7 = 2\)
3. Subtract the hundreds place: \(4 - 1 = 3\)
Answer:
```
500
- 176
------
324
```
---
Problem 16:
```
870
- 648
------
```
1. Subtract the units place: \(0 - 8\). Since 0 is less than 8, borrow 1 from the tens place (7 becomes 6).
- New units: \(10 - 8 = 2\)
2. Subtract the tens place: \(6 - 4 = 2\)
3. Subtract the hundreds place: \(8 - 6 = 2\)
Answer:
```
870
- 648
------
222
```
---
Problem 17:
```
701
- 299
------
```
1. Subtract the units place: \(1 - 9\). Since 1 is less than 9, borrow 1 from the tens place (0 becomes 9).
- New units: \(11 - 9 = 2\)
2. Subtract the tens place: \(9 - 9 = 0\)
3. Subtract the hundreds place: \(6 - 2 = 4\) (since we borrowed 1 from 7)
Answer:
```
701
- 299
------
402
```
---
Problem 18:
```
781
- 590
------
```
1. Subtract the units place: \(1 - 0 = 1\)
2. Subtract the tens place: \(8 - 9\). Since 8 is less than 9, borrow 1 from the hundreds place (7 becomes 6).
- New tens: \(18 - 9 = 9\)
3. Subtract the hundreds place: \(6 - 5 = 1\)
Answer:
```
781
- 590
------
191
```
---
Problem 19:
```
510
- 229
------
```
1. Subtract the units place: \(0 - 9\). Since 0 is less than 9, borrow 1 from the tens place (1 becomes 0).
- New units: \(10 - 9 = 1\)
2. Subtract the tens place: \(0 - 2\). Since 0 is less than 2, borrow 1 from the hundreds place (5 becomes 4).
- New tens: \(10 - 2 = 8\)
3. Subtract the hundreds place: \(4 - 2 = 2\)
Answer:
```
510
- 229
------
281
```
---
Problem 20:
```
774
- 117
------
```
1. Subtract the units place: \(4 - 7\). Since 4 is less than 7, borrow 1 from the tens place (7 becomes 6).
- New units: \(14 - 7 = 7\)
2. Subtract the tens place: \(6 - 1 = 5\)
3. Subtract the hundreds place: \(7 - 1 = 6\)
Answer:
```
774
- 117
------
657
```
---
Final Answers:
```
831 936 771 519
- 292 -427 -143 -253
------ ------ ------ ------
539 509 628 266
316 731 736 554
- 127 -512 -615 -364
------ ------ ------ ------
189 219 121 190
631 601 531 839
- 192 -292 -292 -607
------ ------ ------ ------
439 309 239 232
501 787 500 870
- 290 -492 -176 -648
------ ------ ------ ------
211 295 324 222
701 781 510 774
- 299 -590 -229 -117
------ ------ ------ ------
402 191 281 657
```
Boxed Final Answer:
\[
\boxed{
\begin{array}{cccc}
539 & 509 & 628 & 266 \\
189 & 219 & 121 & 190 \\
439 & 309 & 239 & 232 \\
211 & 295 & 324 & 222 \\
402 & 191 & 281 & 657 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of addition worksheet column.