Grade 5 Subtraction Worksheets | Free Printables | Math Worksheets - Free Printable
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Step-by-step solution for: Grade 5 Subtraction Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Subtraction Worksheets | Free Printables | Math Worksheets
Let’s solve each subtraction problem step by step. We’ll subtract the bottom number from the top number in each column, starting from the right (ones place), then tens, then hundreds. If we need to borrow, we’ll do that carefully.
---
1. 675 - 286
- Ones: 5 - 6 → can’t do, so borrow from tens. 15 - 6 = 9
- Tens: 6 (after borrowing) - 8 → can’t do, borrow from hundreds. 16 - 8 = 8
- Hundreds: 5 (after borrowing) - 2 = 3
→ 389
---
2. 942 - 376
- Ones: 2 - 6 → borrow → 12 - 6 = 6
- Tens: 3 (after borrow) - 7 → borrow → 13 - 7 = 6
- Hundreds: 8 (after borrow) - 3 = 5
→ 566
---
3. 825 - 546
- Ones: 5 - 6 → borrow → 15 - 6 = 9
- Tens: 1 (after borrow) - 4 → borrow → 11 - 4 = 7
- Hundreds: 7 (after borrow) - 5 = 2
→ 279
---
4. 278 - 192
- Ones: 8 - 2 = 6
- Tens: 7 - 9 → borrow → 17 - 9 = 8
- Hundreds: 1 (after borrow) - 1 = 0 → don’t write leading zero
→ 86
Wait — let’s check again:
Actually, after borrowing for tens: hundreds become 1 (from 2), minus 1 = 0 → so answer is 86? But 278 - 192 should be more than 86.
Let me recalculate:
278
-192
——
Ones: 8 - 2 = 6
Tens: 7 - 9 → borrow from hundreds → 17 - 9 = 8
Hundreds: 1 (since 2 became 1 after borrow) - 1 = 0 → so 86? That feels wrong.
Wait — 278 - 192:
Do it another way: 278 - 200 = 78, but we subtracted 8 too many, so add back 8 → 78 + 8 = 86. Oh! It IS 86. Okay, correct.
But wait — 192 + 86 = 278? Let’s check: 192 + 80 = 272, +6 = 278. Yes! So 86 is correct.
BUT — in column subtraction, we usually write all digits. Since hundreds digit is 0, we just write 86. That’s fine.
---
Actually, let me double-check with calculator-style thinking:
278 - 192 = ?
278 - 100 = 178
178 - 90 = 88
88 - 2 = 86 → yes.
So 86
---
5. 428 - 356
- Ones: 8 - 6 = 2
- Tens: 2 - 5 → borrow → 12 - 5 = 7
- Hundreds: 3 (after borrow) - 3 = 0 → so 72
Check: 356 + 72 = 428? 356 + 70 = 426, +2 = 428 → yes.
→ 72
---
6. 733 - 259
- Ones: 3 - 9 → borrow → 13 - 9 = 4
- Tens: 2 (after borrow) - 5 → borrow → 12 - 5 = 7
- Hundreds: 6 (after borrow) - 2 = 4
→ 474
Check: 259 + 474 = 733? 259 + 400 = 659, +74 = 733 → yes.
---
7. 994 - 637
- Ones: 4 - 7 → borrow → 14 - 7 = 7
- Tens: 8 (after borrow) - 3 = 5
- Hundreds: 9 - 6 = 3
→ 357
Check: 637 + 357 = 994? 637 + 300 = 937, +57 = 994 → yes.
---
8. 557 - 367
- Ones: 7 - 7 = 0
- Tens: 5 - 6 → borrow → 15 - 6 = 9
- Hundreds: 4 (after borrow) - 3 = 1
→ 190
Check: 367 + 190 = 557? 367 + 100 = 467, +90 = 557 → yes.
---
9. 256 - 108
- Ones: 6 - 8 → borrow → 16 - 8 = 8
- Tens: 4 (after borrow) - 0 = 4
- Hundreds: 2 - 1 = 1
→ 148
Check: 108 + 148 = 256? 108 + 100 = 208, +48 = 256 → yes.
---
10. 793 - 258
- Ones: 3 - 8 → borrow → 13 - 8 = 5
- Tens: 8 (after borrow) - 5 = 3
- Hundreds: 7 - 2 = 5
→ 535
Check: 258 + 535 = 793? 258 + 500 = 758, +35 = 793 → yes.
---
11. 537 - 362
- Ones: 7 - 2 = 5
- Tens: 3 - 6 → borrow → 13 - 6 = 7
- Hundreds: 4 (after borrow) - 3 = 1
→ 175
Check: 362 + 175 = 537? 362 + 100 = 462, +75 = 537 → yes.
---
12. 448 - 226
- Ones: 8 - 6 = 2
- Tens: 4 - 2 = 2
- Hundreds: 4 - 2 = 2
→ 222
Check: 226 + 222 = 448? 226 + 200 = 426, +22 = 448 → yes.
---
Now, compiling all answers:
1. 389
2. 566
3. 279
4. 86
5. 72
6. 474
7. 357
8. 190
9. 148
10. 535
11. 175
12. 222
Final Answer:
1. 389
2. 566
3. 279
4. 86
5. 72
6. 474
7. 357
8. 190
9. 148
10. 535
11. 175
12. 222
---
1. 675 - 286
- Ones: 5 - 6 → can’t do, so borrow from tens. 15 - 6 = 9
- Tens: 6 (after borrowing) - 8 → can’t do, borrow from hundreds. 16 - 8 = 8
- Hundreds: 5 (after borrowing) - 2 = 3
→ 389
---
2. 942 - 376
- Ones: 2 - 6 → borrow → 12 - 6 = 6
- Tens: 3 (after borrow) - 7 → borrow → 13 - 7 = 6
- Hundreds: 8 (after borrow) - 3 = 5
→ 566
---
3. 825 - 546
- Ones: 5 - 6 → borrow → 15 - 6 = 9
- Tens: 1 (after borrow) - 4 → borrow → 11 - 4 = 7
- Hundreds: 7 (after borrow) - 5 = 2
→ 279
---
4. 278 - 192
- Ones: 8 - 2 = 6
- Tens: 7 - 9 → borrow → 17 - 9 = 8
- Hundreds: 1 (after borrow) - 1 = 0 → don’t write leading zero
→ 86
Wait — let’s check again:
Actually, after borrowing for tens: hundreds become 1 (from 2), minus 1 = 0 → so answer is 86? But 278 - 192 should be more than 86.
Let me recalculate:
278
-192
——
Ones: 8 - 2 = 6
Tens: 7 - 9 → borrow from hundreds → 17 - 9 = 8
Hundreds: 1 (since 2 became 1 after borrow) - 1 = 0 → so 86? That feels wrong.
Wait — 278 - 192:
Do it another way: 278 - 200 = 78, but we subtracted 8 too many, so add back 8 → 78 + 8 = 86. Oh! It IS 86. Okay, correct.
But wait — 192 + 86 = 278? Let’s check: 192 + 80 = 272, +6 = 278. Yes! So 86 is correct.
BUT — in column subtraction, we usually write all digits. Since hundreds digit is 0, we just write 86. That’s fine.
---
Actually, let me double-check with calculator-style thinking:
278 - 192 = ?
278 - 100 = 178
178 - 90 = 88
88 - 2 = 86 → yes.
So 86
---
5. 428 - 356
- Ones: 8 - 6 = 2
- Tens: 2 - 5 → borrow → 12 - 5 = 7
- Hundreds: 3 (after borrow) - 3 = 0 → so 72
Check: 356 + 72 = 428? 356 + 70 = 426, +2 = 428 → yes.
→ 72
---
6. 733 - 259
- Ones: 3 - 9 → borrow → 13 - 9 = 4
- Tens: 2 (after borrow) - 5 → borrow → 12 - 5 = 7
- Hundreds: 6 (after borrow) - 2 = 4
→ 474
Check: 259 + 474 = 733? 259 + 400 = 659, +74 = 733 → yes.
---
7. 994 - 637
- Ones: 4 - 7 → borrow → 14 - 7 = 7
- Tens: 8 (after borrow) - 3 = 5
- Hundreds: 9 - 6 = 3
→ 357
Check: 637 + 357 = 994? 637 + 300 = 937, +57 = 994 → yes.
---
8. 557 - 367
- Ones: 7 - 7 = 0
- Tens: 5 - 6 → borrow → 15 - 6 = 9
- Hundreds: 4 (after borrow) - 3 = 1
→ 190
Check: 367 + 190 = 557? 367 + 100 = 467, +90 = 557 → yes.
---
9. 256 - 108
- Ones: 6 - 8 → borrow → 16 - 8 = 8
- Tens: 4 (after borrow) - 0 = 4
- Hundreds: 2 - 1 = 1
→ 148
Check: 108 + 148 = 256? 108 + 100 = 208, +48 = 256 → yes.
---
10. 793 - 258
- Ones: 3 - 8 → borrow → 13 - 8 = 5
- Tens: 8 (after borrow) - 5 = 3
- Hundreds: 7 - 2 = 5
→ 535
Check: 258 + 535 = 793? 258 + 500 = 758, +35 = 793 → yes.
---
11. 537 - 362
- Ones: 7 - 2 = 5
- Tens: 3 - 6 → borrow → 13 - 6 = 7
- Hundreds: 4 (after borrow) - 3 = 1
→ 175
Check: 362 + 175 = 537? 362 + 100 = 462, +75 = 537 → yes.
---
12. 448 - 226
- Ones: 8 - 6 = 2
- Tens: 4 - 2 = 2
- Hundreds: 4 - 2 = 2
→ 222
Check: 226 + 222 = 448? 226 + 200 = 426, +22 = 448 → yes.
---
Now, compiling all answers:
1. 389
2. 566
3. 279
4. 86
5. 72
6. 474
7. 357
8. 190
9. 148
10. 535
11. 175
12. 222
Final Answer:
1. 389
2. 566
3. 279
4. 86
5. 72
6. 474
7. 357
8. 190
9. 148
10. 535
11. 175
12. 222
Parent Tip: Review the logic above to help your child master the concept of column subtraction worksheet level.
