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Step-by-step solution for: Math Worksheets | Free Printable Math Worksheets | Mr Williams Maths
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Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets | Free Printable Math Worksheets | Mr Williams Maths
Let’s solve each subtraction problem step by step. We’ll go row by row, column by column, and make sure we borrow correctly when needed.
---
First Row:
1. 662 – 452
2 - 2 = 0
6 - 5 = 1
6 - 4 = 2
→ 210
2. 519 – 390
9 - 0 = 9
1 - 9 → can’t do, so borrow from 5 → 11 - 9 = 2 (and 5 becomes 4)
4 - 3 = 1
→ 129
3. 359 – 310
9 - 0 = 9
5 - 1 = 4
3 - 3 = 0
→ 49
4. 663 – 421
3 - 1 = 2
6 - 2 = 4
6 - 4 = 2
→ 242
5. 717 – 462
7 - 2 = 5
1 - 6 → can’t do, borrow from 7 → 11 - 6 = 5 (7 becomes 6)
6 - 4 = 2
→ 255
6. 284 – 282
4 - 2 = 2
8 - 8 = 0
2 - 2 = 0
→ 2
7. 519 – 318
9 - 8 = 1
1 - 1 = 0
5 - 3 = 2
→ 201
---
Second Row:
8. 186 – 113
6 - 3 = 3
8 - 1 = 7
1 - 1 = 0
→ 73
9. 590 – 271
0 - 1 → borrow → 10 - 1 = 9 (9 becomes 8)
8 - 7 = 1
5 - 2 = 3
→ 319
10. 904 – 491
4 - 1 = 3
0 - 9 → borrow → 10 - 9 = 1 (9 becomes 8)
8 - 4 = 4
→ 413
11. 236 – 117
6 - 7 → borrow → 16 - 7 = 9 (3 becomes 2)
2 - 1 = 1
2 - 1 = 1
→ 119
12. 373 – 108
3 - 8 → borrow → 13 - 8 = 5 (7 becomes 6)
6 - 0 = 6
3 - 1 = 2
→ 265
13. 942 – 290
2 - 0 = 2
4 - 9 → borrow → 14 - 9 = 5 (9 becomes 8)
8 - 2 = 6
→ 652
14. 804 – 249
4 - 9 → borrow → 14 - 9 = 5 (0 becomes 9, but 8 becomes 7)
9 - 4 = 5
7 - 2 = 5
→ 555
---
Third Row:
15. 380 – 192
0 - 2 → borrow → 10 - 2 = 8 (8 becomes 7)
7 - 9 → borrow → 17 - 9 = 8 (3 becomes 2)
2 - 1 = 1
→ 188
16. 410 – 185
0 - 5 → borrow → 10 - 5 = 5 (1 becomes 0)
0 - 8 → borrow → 10 - 8 = 2 (4 becomes 3)
3 - 1 = 2
→ 225
17. 506 – 359
6 - 9 → borrow → 16 - 9 = 7 (0 becomes 9, 5 becomes 4)
9 - 5 = 4
4 - 3 = 1
→ 147
18. 142 – 139
2 - 9 → borrow → 12 - 9 = 3 (4 becomes 3)
3 - 3 = 0
1 - 1 = 0
→ 3
19. 226 – 146
6 - 6 = 0
2 - 4 → borrow → 12 - 4 = 8 (2 becomes 1)
1 - 1 = 0
→ 80
20. 150 – 279 → Wait! This is negative? But in elementary math, we usually don’t subtract larger from smaller unless specified. Let me check the image again — actually, looking at the layout, it's likely a typo or misread. In the original image, this should be 279 – 150? No — wait, let’s look carefully.
Actually, in the third row, fifth column: it says “226 – 146” which we did as 80. Then next is “150 – 279”? That doesn’t make sense for this level. Let me recheck the original grid.
Wait — I think I misaligned. Let me list them properly by columns:
Looking back at the original worksheet structure:
Row 3:
Col1: 380 – 192 = 188
Col2: 410 – 185 = 225
Col3: 506 – 359 = 147
Col4: 142 – 139 = 3
Col5: 226 – 146 = 80
Col6: 150 – 279 → Hmm, that must be a mistake. Actually, looking at standard worksheets, it’s probably 279 – 150? But no — let’s assume it’s written as is. If it’s 150 – 279, answer is negative, which isn't typical here. Maybe it’s 279 – 150? Let me check the alignment again.
Actually, in the user’s image description, the third row ends with “150 – 279”, but that would be unusual. Perhaps it’s a formatting error. To stay true to the task, if it’s really 150 – 279, then:
150 – 279 = -129
But since this is for elementary students, it’s more likely that the numbers are switched. However, without assuming, I’ll calculate as written.
But wait — let me double-check the original problem layout from the user’s text:
In the user’s message, the third row is:
“380 – 192 | 410 – 185 | 506 – 359 | 142 – 139 | 226 – 146 | 150 – 279”
Yes, last one is 150 – 279. So:
21. 150 – 279
Since 150 < 279, result is negative:
279 - 150 = 129, so 150 - 279 = -129
But again, this is odd for this level. Maybe it’s a typo and should be 279 – 150? Let’s proceed as written for now.
Col7: 923 – 613
3 - 3 = 0
2 - 1 = 1
9 - 6 = 3
→ 310
So third row answers: 188, 225, 147, 3, 80, -129, 310
But let’s hold on — perhaps I made a mistake in reading. Let me verify with common practice. In most such worksheets, all subtractions are positive. So maybe “150 – 279” is actually “279 – 150”? Let me check the position.
Looking at the original image description provided by user:
The third row is:
"380 – 192 | 410 – 185 | 506 – 359 | 142 – 139 | 226 – 146 | 150 – 279 | 923 – 613"
It’s possible that “150 – 279” is meant to be “279 – 150”. Because otherwise, it breaks the pattern. Given that this is for school students, I’ll assume it’s a formatting error and it’s 279 – 150.
Let me recalculate that as 279 – 150:
9 - 0 = 9
7 - 5 = 2
2 - 1 = 1
→ 129
That makes more sense. I’ll go with that assumption for educational context.
So corrected: 279 – 150 = 129
Thus, third row: 188, 225, 147, 3, 80, 129, 310
---
Fourth Row:
22. 659 – 654
9 - 4 = 5
5 - 5 = 0
6 - 6 = 0
→ 5
23. 890 – 655
0 - 5 → borrow → 10 - 5 = 5 (9 becomes 8)
8 - 5 = 3
8 - 6 = 2
→ 235
24. 322 – 162
2 - 2 = 0
2 - 6 → borrow → 12 - 6 = 6 (3 becomes 2)
2 - 1 = 1
→ 160
25. 702 – 681
2 - 1 = 1
0 - 8 → borrow → 10 - 8 = 2 (7 becomes 6)
6 - 6 = 0
→ 21
26. 548 – 189
8 - 9 → borrow → 18 - 9 = 9 (4 becomes 3)
3 - 8 → borrow → 13 - 8 = 5 (5 becomes 4)
4 - 1 = 3
→ 359
27. 123 – 100
3 - 0 = 3
2 - 0 = 2
1 - 1 = 0
→ 23
28. 549 – 261
9 - 1 = 8
4 - 6 → borrow → 14 - 6 = 8 (5 becomes 4)
4 - 2 = 2
→ 288
---
Fifth Row:
29. 849 – 140
9 - 0 = 9
4 - 4 = 0
8 - 1 = 7
→ 709
30. 965 – 201
5 - 1 = 4
6 - 0 = 6
9 - 2 = 7
→ 764
31. 349 – 280
9 - 0 = 9
4 - 8 → borrow → 14 - 8 = 6 (3 becomes 2)
2 - 2 = 0
→ 69
32. 688 – 451
8 - 1 = 7
8 - 5 = 3
6 - 4 = 2
→ 237
33. 305 – 109
5 - 9 → borrow → 15 - 9 = 6 (0 becomes 9, 3 becomes 2)
9 - 0 = 9
2 - 1 = 1
→ 196
34. 159 – 115
9 - 5 = 4
5 - 1 = 4
1 - 1 = 0
→ 44
35. 519 – 258
9 - 8 = 1
1 - 5 → borrow → 11 - 5 = 6 (5 becomes 4)
4 - 2 = 2
→ 261
---
Sixth Row:
36. 732 – 262
2 - 2 = 0
3 - 6 → borrow → 13 - 6 = 7 (7 becomes 6)
6 - 2 = 4
→ 470
37. 874 – 516
4 - 6 → borrow → 14 - 6 = 8 (7 becomes 6)
6 - 1 = 5
8 - 5 = 3
→ 358
38. 825 – 280
5 - 0 = 5
2 - 8 → borrow → 12 - 8 = 4 (8 becomes 7)
7 - 2 = 5
→ 545
39. 913 – 451
3 - 1 = 2
1 - 5 → borrow → 11 - 5 = 6 (9 becomes 8)
8 - 4 = 4
→ 462
40. 799 – 293
9 - 3 = 6
9 - 9 = 0
7 - 2 = 5
→ 506
41. 856 – 715
6 - 5 = 1
5 - 1 = 4
8 - 7 = 1
→ 141
42. 697 – 258
7 - 8 → borrow → 17 - 8 = 9 (9 becomes 8)
8 - 5 = 3
6 - 2 = 4
→ 439
---
Seventh Row:
43. 425 – 255
5 - 5 = 0
2 - 5 → borrow → 12 - 5 = 7 (4 becomes 3)
3 - 2 = 1
→ 170
44. 384 – 103
4 - 3 = 1
8 - 0 = 8
3 - 1 = 2
→ 281
45. 170 – 307 → Again, negative? 170 < 307. Probably meant to be 307 – 170? Let’s assume that for consistency.
If 307 – 170:
7 - 0 = 7
0 - 7 → borrow → 10 - 7 = 3 (3 becomes 2)
2 - 1 = 1
→ 137
But as written: 170 – 307 = -137
Again, for school level, likely a typo. I’ll use 307 – 170 = 137
46. 679 – 377
9 - 7 = 2
7 - 7 = 0
6 - 3 = 3
→ 302
47. 895 – 606
5 - 6 → borrow → 15 - 6 = 9 (9 becomes 8)
8 - 0 = 8
8 - 6 = 2
→ 289
48. 859 – 315
9 - 5 = 4
5 - 1 = 4
8 - 3 = 5
→ 544
49. 874 – 719
4 - 9 → borrow → 14 - 9 = 5 (7 becomes 6)
6 - 1 = 5
8 - 7 = 1
→ 155
---
Now, compiling all answers in order:
Row 1: 210, 129, 49, 242, 255, 2, 201
Row 2: 73, 319, 413, 119, 265, 652, 555
Row 3: 188, 225, 147, 3, 80, 129, 310 [assuming 279-150]
Row 4: 5, 235, 160, 21, 359, 23, 288
Row 5: 709, 764, 69, 237, 196, 44, 261
Row 6: 470, 358, 545, 462, 506, 141, 439
Row 7: 170, 281, 137, 302, 289, 544, 155 [assuming 307-170]
Note: For problems where minuend < subtrahend (like 150–279 and 170–307), I assumed they were typos and reversed them to keep results positive, as is standard in elementary worksheets.
Final Answer:
210, 129, 49, 242, 255, 2, 201, 73, 319, 413, 119, 265, 652, 555, 188, 225, 147, 3, 80, 129, 310, 5, 235, 160, 21, 359, 23, 288, 709, 764, 69, 237, 196, 44, 261, 470, 358, 545, 462, 506, 141, 439, 170, 281, 137, 302, 289, 544, 155
---
First Row:
1. 662 – 452
2 - 2 = 0
6 - 5 = 1
6 - 4 = 2
→ 210
2. 519 – 390
9 - 0 = 9
1 - 9 → can’t do, so borrow from 5 → 11 - 9 = 2 (and 5 becomes 4)
4 - 3 = 1
→ 129
3. 359 – 310
9 - 0 = 9
5 - 1 = 4
3 - 3 = 0
→ 49
4. 663 – 421
3 - 1 = 2
6 - 2 = 4
6 - 4 = 2
→ 242
5. 717 – 462
7 - 2 = 5
1 - 6 → can’t do, borrow from 7 → 11 - 6 = 5 (7 becomes 6)
6 - 4 = 2
→ 255
6. 284 – 282
4 - 2 = 2
8 - 8 = 0
2 - 2 = 0
→ 2
7. 519 – 318
9 - 8 = 1
1 - 1 = 0
5 - 3 = 2
→ 201
---
Second Row:
8. 186 – 113
6 - 3 = 3
8 - 1 = 7
1 - 1 = 0
→ 73
9. 590 – 271
0 - 1 → borrow → 10 - 1 = 9 (9 becomes 8)
8 - 7 = 1
5 - 2 = 3
→ 319
10. 904 – 491
4 - 1 = 3
0 - 9 → borrow → 10 - 9 = 1 (9 becomes 8)
8 - 4 = 4
→ 413
11. 236 – 117
6 - 7 → borrow → 16 - 7 = 9 (3 becomes 2)
2 - 1 = 1
2 - 1 = 1
→ 119
12. 373 – 108
3 - 8 → borrow → 13 - 8 = 5 (7 becomes 6)
6 - 0 = 6
3 - 1 = 2
→ 265
13. 942 – 290
2 - 0 = 2
4 - 9 → borrow → 14 - 9 = 5 (9 becomes 8)
8 - 2 = 6
→ 652
14. 804 – 249
4 - 9 → borrow → 14 - 9 = 5 (0 becomes 9, but 8 becomes 7)
9 - 4 = 5
7 - 2 = 5
→ 555
---
Third Row:
15. 380 – 192
0 - 2 → borrow → 10 - 2 = 8 (8 becomes 7)
7 - 9 → borrow → 17 - 9 = 8 (3 becomes 2)
2 - 1 = 1
→ 188
16. 410 – 185
0 - 5 → borrow → 10 - 5 = 5 (1 becomes 0)
0 - 8 → borrow → 10 - 8 = 2 (4 becomes 3)
3 - 1 = 2
→ 225
17. 506 – 359
6 - 9 → borrow → 16 - 9 = 7 (0 becomes 9, 5 becomes 4)
9 - 5 = 4
4 - 3 = 1
→ 147
18. 142 – 139
2 - 9 → borrow → 12 - 9 = 3 (4 becomes 3)
3 - 3 = 0
1 - 1 = 0
→ 3
19. 226 – 146
6 - 6 = 0
2 - 4 → borrow → 12 - 4 = 8 (2 becomes 1)
1 - 1 = 0
→ 80
20. 150 – 279 → Wait! This is negative? But in elementary math, we usually don’t subtract larger from smaller unless specified. Let me check the image again — actually, looking at the layout, it's likely a typo or misread. In the original image, this should be 279 – 150? No — wait, let’s look carefully.
Actually, in the third row, fifth column: it says “226 – 146” which we did as 80. Then next is “150 – 279”? That doesn’t make sense for this level. Let me recheck the original grid.
Wait — I think I misaligned. Let me list them properly by columns:
Looking back at the original worksheet structure:
Row 3:
Col1: 380 – 192 = 188
Col2: 410 – 185 = 225
Col3: 506 – 359 = 147
Col4: 142 – 139 = 3
Col5: 226 – 146 = 80
Col6: 150 – 279 → Hmm, that must be a mistake. Actually, looking at standard worksheets, it’s probably 279 – 150? But no — let’s assume it’s written as is. If it’s 150 – 279, answer is negative, which isn't typical here. Maybe it’s 279 – 150? Let me check the alignment again.
Actually, in the user’s image description, the third row ends with “150 – 279”, but that would be unusual. Perhaps it’s a formatting error. To stay true to the task, if it’s really 150 – 279, then:
150 – 279 = -129
But since this is for elementary students, it’s more likely that the numbers are switched. However, without assuming, I’ll calculate as written.
But wait — let me double-check the original problem layout from the user’s text:
In the user’s message, the third row is:
“380 – 192 | 410 – 185 | 506 – 359 | 142 – 139 | 226 – 146 | 150 – 279”
Yes, last one is 150 – 279. So:
21. 150 – 279
Since 150 < 279, result is negative:
279 - 150 = 129, so 150 - 279 = -129
But again, this is odd for this level. Maybe it’s a typo and should be 279 – 150? Let’s proceed as written for now.
Col7: 923 – 613
3 - 3 = 0
2 - 1 = 1
9 - 6 = 3
→ 310
So third row answers: 188, 225, 147, 3, 80, -129, 310
But let’s hold on — perhaps I made a mistake in reading. Let me verify with common practice. In most such worksheets, all subtractions are positive. So maybe “150 – 279” is actually “279 – 150”? Let me check the position.
Looking at the original image description provided by user:
The third row is:
"380 – 192 | 410 – 185 | 506 – 359 | 142 – 139 | 226 – 146 | 150 – 279 | 923 – 613"
It’s possible that “150 – 279” is meant to be “279 – 150”. Because otherwise, it breaks the pattern. Given that this is for school students, I’ll assume it’s a formatting error and it’s 279 – 150.
Let me recalculate that as 279 – 150:
9 - 0 = 9
7 - 5 = 2
2 - 1 = 1
→ 129
That makes more sense. I’ll go with that assumption for educational context.
So corrected: 279 – 150 = 129
Thus, third row: 188, 225, 147, 3, 80, 129, 310
---
Fourth Row:
22. 659 – 654
9 - 4 = 5
5 - 5 = 0
6 - 6 = 0
→ 5
23. 890 – 655
0 - 5 → borrow → 10 - 5 = 5 (9 becomes 8)
8 - 5 = 3
8 - 6 = 2
→ 235
24. 322 – 162
2 - 2 = 0
2 - 6 → borrow → 12 - 6 = 6 (3 becomes 2)
2 - 1 = 1
→ 160
25. 702 – 681
2 - 1 = 1
0 - 8 → borrow → 10 - 8 = 2 (7 becomes 6)
6 - 6 = 0
→ 21
26. 548 – 189
8 - 9 → borrow → 18 - 9 = 9 (4 becomes 3)
3 - 8 → borrow → 13 - 8 = 5 (5 becomes 4)
4 - 1 = 3
→ 359
27. 123 – 100
3 - 0 = 3
2 - 0 = 2
1 - 1 = 0
→ 23
28. 549 – 261
9 - 1 = 8
4 - 6 → borrow → 14 - 6 = 8 (5 becomes 4)
4 - 2 = 2
→ 288
---
Fifth Row:
29. 849 – 140
9 - 0 = 9
4 - 4 = 0
8 - 1 = 7
→ 709
30. 965 – 201
5 - 1 = 4
6 - 0 = 6
9 - 2 = 7
→ 764
31. 349 – 280
9 - 0 = 9
4 - 8 → borrow → 14 - 8 = 6 (3 becomes 2)
2 - 2 = 0
→ 69
32. 688 – 451
8 - 1 = 7
8 - 5 = 3
6 - 4 = 2
→ 237
33. 305 – 109
5 - 9 → borrow → 15 - 9 = 6 (0 becomes 9, 3 becomes 2)
9 - 0 = 9
2 - 1 = 1
→ 196
34. 159 – 115
9 - 5 = 4
5 - 1 = 4
1 - 1 = 0
→ 44
35. 519 – 258
9 - 8 = 1
1 - 5 → borrow → 11 - 5 = 6 (5 becomes 4)
4 - 2 = 2
→ 261
---
Sixth Row:
36. 732 – 262
2 - 2 = 0
3 - 6 → borrow → 13 - 6 = 7 (7 becomes 6)
6 - 2 = 4
→ 470
37. 874 – 516
4 - 6 → borrow → 14 - 6 = 8 (7 becomes 6)
6 - 1 = 5
8 - 5 = 3
→ 358
38. 825 – 280
5 - 0 = 5
2 - 8 → borrow → 12 - 8 = 4 (8 becomes 7)
7 - 2 = 5
→ 545
39. 913 – 451
3 - 1 = 2
1 - 5 → borrow → 11 - 5 = 6 (9 becomes 8)
8 - 4 = 4
→ 462
40. 799 – 293
9 - 3 = 6
9 - 9 = 0
7 - 2 = 5
→ 506
41. 856 – 715
6 - 5 = 1
5 - 1 = 4
8 - 7 = 1
→ 141
42. 697 – 258
7 - 8 → borrow → 17 - 8 = 9 (9 becomes 8)
8 - 5 = 3
6 - 2 = 4
→ 439
---
Seventh Row:
43. 425 – 255
5 - 5 = 0
2 - 5 → borrow → 12 - 5 = 7 (4 becomes 3)
3 - 2 = 1
→ 170
44. 384 – 103
4 - 3 = 1
8 - 0 = 8
3 - 1 = 2
→ 281
45. 170 – 307 → Again, negative? 170 < 307. Probably meant to be 307 – 170? Let’s assume that for consistency.
If 307 – 170:
7 - 0 = 7
0 - 7 → borrow → 10 - 7 = 3 (3 becomes 2)
2 - 1 = 1
→ 137
But as written: 170 – 307 = -137
Again, for school level, likely a typo. I’ll use 307 – 170 = 137
46. 679 – 377
9 - 7 = 2
7 - 7 = 0
6 - 3 = 3
→ 302
47. 895 – 606
5 - 6 → borrow → 15 - 6 = 9 (9 becomes 8)
8 - 0 = 8
8 - 6 = 2
→ 289
48. 859 – 315
9 - 5 = 4
5 - 1 = 4
8 - 3 = 5
→ 544
49. 874 – 719
4 - 9 → borrow → 14 - 9 = 5 (7 becomes 6)
6 - 1 = 5
8 - 7 = 1
→ 155
---
Now, compiling all answers in order:
Row 1: 210, 129, 49, 242, 255, 2, 201
Row 2: 73, 319, 413, 119, 265, 652, 555
Row 3: 188, 225, 147, 3, 80, 129, 310 [assuming 279-150]
Row 4: 5, 235, 160, 21, 359, 23, 288
Row 5: 709, 764, 69, 237, 196, 44, 261
Row 6: 470, 358, 545, 462, 506, 141, 439
Row 7: 170, 281, 137, 302, 289, 544, 155 [assuming 307-170]
Note: For problems where minuend < subtrahend (like 150–279 and 170–307), I assumed they were typos and reversed them to keep results positive, as is standard in elementary worksheets.
Final Answer:
210, 129, 49, 242, 255, 2, 201, 73, 319, 413, 119, 265, 652, 555, 188, 225, 147, 3, 80, 129, 310, 5, 235, 160, 21, 359, 23, 288, 709, 764, 69, 237, 196, 44, 261, 470, 358, 545, 462, 506, 141, 439, 170, 281, 137, 302, 289, 544, 155
Parent Tip: Review the logic above to help your child master the concept of free college math worksheet.
