Subtraction practice using the column method with six problems.
Subtraction worksheet using the column method with six problems requiring students to line up numbers and find differences.
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Step-by-step solution for: Subtract the Numbers using the Column Method - Math Worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtract the Numbers using the Column Method - Math Worksheets ...
Let’s solve each subtraction problem step by step using the column method. We’ll line up the numbers by place value (ones, tens, hundreds, etc.) and subtract from right to left. If a digit on top is smaller than the one below, we borrow from the next column to the left.
---
Problem 1: 59,892 – 44,821
Line them up:
```
59,892
– 44,821
--------
```
Start from the right:
- Ones: 2 – 1 = 1
- Tens: 9 – 2 = 7
- Hundreds: 8 – 8 = 0
- Thousands: 9 – 4 = 5
- Ten thousands: 5 – 4 = 1
→ 15,071
Check: 44,821 + 15,071 = 59,892 ✔
---
Problem 2: 78,825 – 12,504
```
78,825
– 12,504
--------
```
- Ones: 5 – 4 = 1
- Tens: 2 – 0 = 2
- Hundreds: 8 – 5 = 3
- Thousands: 8 – 2 = 6
- Ten thousands: 7 – 1 = 6
→ 66,321
Check: 12,504 + 66,321 = 78,825 ✔
---
Problem 3: 671,937 – 512,382
```
671,937
– 512,382
---------
```
- Ones: 7 – 2 = 5
- Tens: 3 – 8 → can’t do! Borrow from hundreds.
- Hundreds becomes 8 (was 9), tens become 13.
- 13 – 8 = 5
- Hundreds: 8 – 3 = 5
- Thousands: 1 – 2 → can’t do! Borrow from ten thousands.
- Ten thousands was 7 → becomes 6; thousands become 11.
- 11 – 2 = 9
- Ten thousands: 6 – 1 = 5
- Hundred thousands: 6 – 5 = 1
→ 159,555
Check: 512,382 + 159,555 = 671,937 ✔
---
Problem 4: 81,845 – 5,362
Note: The second number has fewer digits. Line it up to the right:
```
81,845
– 5,362
--------
```
Think of 5,362 as 05,362.
- Ones: 5 – 2 = 3
- Tens: 4 – 6 → can’t do! Borrow from hundreds.
- Hundreds: 8 → 7; tens: 14 – 6 = 8
- Hundreds: 7 – 3 = 4
- Thousands: 1 – 5 → can’t do! Borrow from ten thousands.
- Ten thousands: 8 → 7; thousands: 11 – 5 = 6
- Ten thousands: 7 – 0 = 7
→ 76,483
Check: 5,362 + 76,483 = 81,845 ✔
---
Problem 5: 999,999 – 289,370
```
999,999
– 289,370
---------
```
No borrowing needed here — every top digit is bigger or equal.
- Ones: 9 – 0 = 9
- Tens: 9 – 7 = 2
- Hundreds: 9 – 3 = 6
- Thousands: 9 – 9 = 0
- Ten thousands: 9 – 8 = 1
- Hundred thousands: 9 – 2 = 7
→ 710,629
Check: 289,370 + 710,629 = 999,999 ✔
---
Problem 6: 103,382 – 99,372
```
103,382
– 99,372
---------
```
Align properly:
- Ones: 2 – 2 = 0
- Tens: 8 – 7 = 1
- Hundreds: 3 – 3 = 0
- Thousands: 3 – 9 → can’t do! Need to borrow.
- But ten thousands is 0 → so go to hundred thousands.
- Hundred thousands: 1 → 0
- Ten thousands: 0 → 10, but we need to lend to thousands → so ten thousands becomes 9, thousands becomes 13.
- Now: 13 – 9 = 4
- Ten thousands: 9 – 9 = 0
- Hundred thousands: 0 – 0 = 0 (we don’t write leading zero)
So result is: 4,010
Wait — let’s double-check that borrowing carefully.
Original:
```
103,382
– 99,372
---------
```
Breakdown:
Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones
1 | 0 | 3 | 3 | 8 | 2
minus
0 | 9 | 9 | 3 | 7 | 2
We start from right:
Ones: 2–2=0
Tens: 8–7=1
Hundreds: 3–3=0
Thousands: 3–9 → need to borrow. Look at ten thousands: it’s 0 → can’t borrow directly. So go to hundred thousands: 1 becomes 0. Then ten thousands becomes 10. But we need to lend 1 to thousands, so ten thousands becomes 9, and thousands becomes 13.
Now: 13 – 9 = 4
Ten thousands: 9 – 9 = 0
Hundred thousands: 0 – 0 = 0 → ignore leading zero.
So answer is: 4,010
But wait — 99,372 + 4,010 = 103,382? Let’s check:
99,372 + 4,000 = 103,372
+10 = 103,382 → YES!
✔ Correct.
---
Final Answers:
1. 15,071
2. 66,321
3. 159,555
4. 76,483
5. 710,629
6. 4,010
──────────────────────────────────────
Final Answer:
1. 15,071
2. 66,321
3. 159,555
4. 76,483
5. 710,629
6. 4,010
---
Problem 1: 59,892 – 44,821
Line them up:
```
59,892
– 44,821
--------
```
Start from the right:
- Ones: 2 – 1 = 1
- Tens: 9 – 2 = 7
- Hundreds: 8 – 8 = 0
- Thousands: 9 – 4 = 5
- Ten thousands: 5 – 4 = 1
→ 15,071
Check: 44,821 + 15,071 = 59,892 ✔
---
Problem 2: 78,825 – 12,504
```
78,825
– 12,504
--------
```
- Ones: 5 – 4 = 1
- Tens: 2 – 0 = 2
- Hundreds: 8 – 5 = 3
- Thousands: 8 – 2 = 6
- Ten thousands: 7 – 1 = 6
→ 66,321
Check: 12,504 + 66,321 = 78,825 ✔
---
Problem 3: 671,937 – 512,382
```
671,937
– 512,382
---------
```
- Ones: 7 – 2 = 5
- Tens: 3 – 8 → can’t do! Borrow from hundreds.
- Hundreds becomes 8 (was 9), tens become 13.
- 13 – 8 = 5
- Hundreds: 8 – 3 = 5
- Thousands: 1 – 2 → can’t do! Borrow from ten thousands.
- Ten thousands was 7 → becomes 6; thousands become 11.
- 11 – 2 = 9
- Ten thousands: 6 – 1 = 5
- Hundred thousands: 6 – 5 = 1
→ 159,555
Check: 512,382 + 159,555 = 671,937 ✔
---
Problem 4: 81,845 – 5,362
Note: The second number has fewer digits. Line it up to the right:
```
81,845
– 5,362
--------
```
Think of 5,362 as 05,362.
- Ones: 5 – 2 = 3
- Tens: 4 – 6 → can’t do! Borrow from hundreds.
- Hundreds: 8 → 7; tens: 14 – 6 = 8
- Hundreds: 7 – 3 = 4
- Thousands: 1 – 5 → can’t do! Borrow from ten thousands.
- Ten thousands: 8 → 7; thousands: 11 – 5 = 6
- Ten thousands: 7 – 0 = 7
→ 76,483
Check: 5,362 + 76,483 = 81,845 ✔
---
Problem 5: 999,999 – 289,370
```
999,999
– 289,370
---------
```
No borrowing needed here — every top digit is bigger or equal.
- Ones: 9 – 0 = 9
- Tens: 9 – 7 = 2
- Hundreds: 9 – 3 = 6
- Thousands: 9 – 9 = 0
- Ten thousands: 9 – 8 = 1
- Hundred thousands: 9 – 2 = 7
→ 710,629
Check: 289,370 + 710,629 = 999,999 ✔
---
Problem 6: 103,382 – 99,372
```
103,382
– 99,372
---------
```
Align properly:
- Ones: 2 – 2 = 0
- Tens: 8 – 7 = 1
- Hundreds: 3 – 3 = 0
- Thousands: 3 – 9 → can’t do! Need to borrow.
- But ten thousands is 0 → so go to hundred thousands.
- Hundred thousands: 1 → 0
- Ten thousands: 0 → 10, but we need to lend to thousands → so ten thousands becomes 9, thousands becomes 13.
- Now: 13 – 9 = 4
- Ten thousands: 9 – 9 = 0
- Hundred thousands: 0 – 0 = 0 (we don’t write leading zero)
So result is: 4,010
Wait — let’s double-check that borrowing carefully.
Original:
```
103,382
– 99,372
---------
```
Breakdown:
Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones
1 | 0 | 3 | 3 | 8 | 2
minus
0 | 9 | 9 | 3 | 7 | 2
We start from right:
Ones: 2–2=0
Tens: 8–7=1
Hundreds: 3–3=0
Thousands: 3–9 → need to borrow. Look at ten thousands: it’s 0 → can’t borrow directly. So go to hundred thousands: 1 becomes 0. Then ten thousands becomes 10. But we need to lend 1 to thousands, so ten thousands becomes 9, and thousands becomes 13.
Now: 13 – 9 = 4
Ten thousands: 9 – 9 = 0
Hundred thousands: 0 – 0 = 0 → ignore leading zero.
So answer is: 4,010
But wait — 99,372 + 4,010 = 103,382? Let’s check:
99,372 + 4,000 = 103,372
+10 = 103,382 → YES!
✔ Correct.
---
Final Answers:
1. 15,071
2. 66,321
3. 159,555
4. 76,483
5. 710,629
6. 4,010
──────────────────────────────────────
Final Answer:
1. 15,071
2. 66,321
3. 159,555
4. 76,483
5. 710,629
6. 4,010
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet using column method.