Subtraction Within 1000 - Picture Puzzle - Education to the Core ... - Free Printable
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Step-by-step solution for: Subtraction Within 1000 - Picture Puzzle - Education to the Core ...
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction Within 1000 - Picture Puzzle - Education to the Core ...
Let’s solve each subtraction problem step by step.
---
First row:
1. 962 - 332
Start from the right:
2 - 2 = 0
6 - 3 = 3
9 - 3 = 6
→ 630
2. 283 - 174
3 - 4 → can’t do, borrow → 13 - 4 = 9 (tens digit becomes 7)
7 - 7 = 0
2 - 1 = 1
→ 109
3. 634 - 222
4 - 2 = 2
3 - 2 = 1
6 - 2 = 4
→ 412
4. 871 - 158
1 - 8 → borrow → 11 - 8 = 3 (tens digit becomes 6)
6 - 5 = 1
8 - 1 = 7
→ 713
---
Second row:
5. 385 - 149
5 - 9 → borrow → 15 - 9 = 6 (tens digit becomes 7)
7 - 4 = 3
3 - 1 = 2
→ 236
6. 422 - 213
2 - 3 → borrow → 12 - 3 = 9 (tens digit becomes 1)
1 - 1 = 0
4 - 2 = 2
→ 209
7. 196 - 105
6 - 5 = 1
9 - 0 = 9
1 - 1 = 0
→ 91
8. 654 - 427
4 - 7 → borrow → 14 - 7 = 7 (tens digit becomes 4)
4 - 2 = 2
6 - 4 = 2
→ 227
---
Third row:
9. 152 - 136
2 - 6 → borrow → 12 - 6 = 6 (tens digit becomes 4)
4 - 3 = 1
1 - 1 = 0
→ 16
10. 826 - 425
6 - 5 = 1
2 - 2 = 0
8 - 4 = 4
→ 401
11. 891 - 234
1 - 4 → borrow → 11 - 4 = 7 (tens digit becomes 8)
8 - 3 = 5
8 - 2 = 6
→ 657
12. 145 - 103
5 - 3 = 2
4 - 0 = 4
1 - 1 = 0
→ 42
---
Now let’s match these answers to the puzzle pieces in the image (though we don’t describe the image, we use the numbers shown on the puzzle):
From the puzzle, you’ll see numbers like:
- 227 → matches 654 - 427
- 16 → matches 152 - 136
- 209 → matches 422 - 213
- 412 → matches 634 - 222
- 401 → matches 826 - 425
- 109 → matches 283 - 174
- 91 → matches 196 - 105
- 76 → ? Let’s check — none of our results are 76. Wait — maybe I missed one?
Wait — let me double-check all 12 problems again for accuracy.
Actually, looking back at the third row, problem #11: 891 - 234
Let me recalculate that:
891
-234
------
Start from right:
1 - 4 → borrow → 11 - 4 = 7 → tens digit was 9, now 8
8 - 3 = 5
8 - 2 = 6
→ 657 ✔
Problem #12: 145 - 103 = 42 ✔
But where does 76 come from? Looking at the puzzle, there’s a cloud with “76” — but none of our subtractions give 76. Did I miss a problem?
Wait — perhaps I miscounted the problems. There are 12 problems listed, and 12 puzzle pieces. Let’s list all 12 answers again clearly:
1. 962 - 332 = 630
2. 283 - 174 = 109
3. 634 - 222 = 412
4. 871 - 158 = 713 ← wait! Earlier I said 713, but is that correct?
Recalculate 871 - 158:
871
-158
------
1 - 8 → borrow → 11 - 8 = 3 → tens digit 7 becomes 6
6 - 5 = 1
8 - 1 = 7
→ 713 ✔
But 713 isn't in the puzzle either. Hmm.
Wait — look at the puzzle again mentally: the numbers visible are:
Top left: 227
Then 16, 209, 412
Middle: 401, 109, 91
Bottom: 76, 630, 657, 42
Ah! So 630 is there — that’s from 962 - 332.
And 76? We didn’t get 76 from any calculation. Let me check if I made a mistake in one of them.
What about 385 - 149?
385
-149
------
5 - 9 → borrow → 15 - 9 = 6 → tens digit 8 becomes 7
7 - 4 = 3
3 - 1 = 2 → 236 ✔
Still no 76.
Wait — what if 76 is from 145 - 69? But that’s not given.
Perhaps I misread a problem.
Look back at the original list:
The problems are arranged in 3 rows of 4:
Row 1:
962 - 332
283 - 174
634 - 222
871 - 158
Row 2:
385 - 149
422 - 213
196 - 105
654 - 427
Row 3:
152 - 136
826 - 425
891 - 234
145 - 103
We have 12 problems. Our answers:
1. 630
2. 109
3. 412
4. 713
5. 236
6. 209
7. 91
8. 227
9. 16
10. 401
11. 657
12. 42
Now compare to puzzle numbers mentioned: 227, 16, 209, 412, 401, 109, 91, 76, 630, 657, 42 — that’s 11 numbers. Missing one? And 76 is extra.
Wait — perhaps 76 is a typo or I miscalculated one.
Let me check 891 - 234 again:
891
-234
------
Units: 1 < 4 → borrow from tens → 11 - 4 = 7
Tens: 8 (after borrow) - 3 = 5
Hundreds: 8 - 2 = 6 → 657 ✔
What about 145 - 103 = 42 ✔
Is there a problem that equals 76?
Try 385 - 309? Not given.
Wait — perhaps 654 - 427 is not 227?
654
-427
------
4 - 7 → borrow → 14 - 7 = 7
5 becomes 4 → 4 - 2 = 2
6 - 4 = 2 → 227 ✔
All seem correct.
But in the puzzle, there's a "76" — maybe it's from a different problem? Or perhaps I need to accept that 76 might be an error, or perhaps I missed something.
Wait — let's look at the first problem again: 962 - 332 = 630 — yes.
Another idea: perhaps 871 - 158 is not 713? Let me calculate differently:
871 - 158 = ?
871 - 100 = 771
771 - 50 = 721
721 - 8 = 713 ✔
Same result.
Perhaps the puzzle has a piece labeled 76 that corresponds to a different calculation, but since all 12 problems are solved, and 76 is not among the answers, maybe it's a distractor or I need to re-express.
Wait — let's list all 12 answers and see which ones appear in the puzzle description:
Answers: 630, 109, 412, 713, 236, 209, 91, 227, 16, 401, 657, 42
Puzzle numbers mentioned: 227, 16, 209, 412, 401, 109, 91, 76, 630, 657, 42 — that's 11. The missing one is 713 or 236.
In the puzzle, is there a 713 or 236? From the user's description, they mentioned "76", which is not in our answers. Perhaps it's a mistake in my reading.
Another possibility: maybe 145 - 103 is not 42? 145 - 100 = 45, 45 - 3 = 42 ✔
Or 152 - 136: 152 - 130 = 22, 22 - 6 = 16 ✔
I think the issue is that in the actual puzzle, the number 76 might correspond to a different problem, but based on the given problems, none yield 76. However, since this is a picture puzzle, and the student is to match the answer to the correct piece, we can proceed with the calculations as done.
For the purpose of this task, since the instruction is to solve the subtraction problems, and we have done so accurately, we'll present the answers as calculated.
Final verification of all 12:
1. 962 - 332 = 630
2. 283 - 174 = 109
3. 634 - 222 = 412
4. 871 - 158 = 713
5. 385 - 149 = 236
6. 422 - 213 = 209
7. 196 - 105 = 91
8. 654 - 427 = 227
9. 152 - 136 = 16
10. 826 - 425 = 401
11. 891 - 234 = 657
12. 145 - 103 = 42
All calculations are verified and correct.
Final Answer:
630, 109, 412, 713, 236, 209, 91, 227, 16, 401, 657, 42
---
First row:
1. 962 - 332
Start from the right:
2 - 2 = 0
6 - 3 = 3
9 - 3 = 6
→ 630
2. 283 - 174
3 - 4 → can’t do, borrow → 13 - 4 = 9 (tens digit becomes 7)
7 - 7 = 0
2 - 1 = 1
→ 109
3. 634 - 222
4 - 2 = 2
3 - 2 = 1
6 - 2 = 4
→ 412
4. 871 - 158
1 - 8 → borrow → 11 - 8 = 3 (tens digit becomes 6)
6 - 5 = 1
8 - 1 = 7
→ 713
---
Second row:
5. 385 - 149
5 - 9 → borrow → 15 - 9 = 6 (tens digit becomes 7)
7 - 4 = 3
3 - 1 = 2
→ 236
6. 422 - 213
2 - 3 → borrow → 12 - 3 = 9 (tens digit becomes 1)
1 - 1 = 0
4 - 2 = 2
→ 209
7. 196 - 105
6 - 5 = 1
9 - 0 = 9
1 - 1 = 0
→ 91
8. 654 - 427
4 - 7 → borrow → 14 - 7 = 7 (tens digit becomes 4)
4 - 2 = 2
6 - 4 = 2
→ 227
---
Third row:
9. 152 - 136
2 - 6 → borrow → 12 - 6 = 6 (tens digit becomes 4)
4 - 3 = 1
1 - 1 = 0
→ 16
10. 826 - 425
6 - 5 = 1
2 - 2 = 0
8 - 4 = 4
→ 401
11. 891 - 234
1 - 4 → borrow → 11 - 4 = 7 (tens digit becomes 8)
8 - 3 = 5
8 - 2 = 6
→ 657
12. 145 - 103
5 - 3 = 2
4 - 0 = 4
1 - 1 = 0
→ 42
---
Now let’s match these answers to the puzzle pieces in the image (though we don’t describe the image, we use the numbers shown on the puzzle):
From the puzzle, you’ll see numbers like:
- 227 → matches 654 - 427
- 16 → matches 152 - 136
- 209 → matches 422 - 213
- 412 → matches 634 - 222
- 401 → matches 826 - 425
- 109 → matches 283 - 174
- 91 → matches 196 - 105
- 76 → ? Let’s check — none of our results are 76. Wait — maybe I missed one?
Wait — let me double-check all 12 problems again for accuracy.
Actually, looking back at the third row, problem #11: 891 - 234
Let me recalculate that:
891
-234
------
Start from right:
1 - 4 → borrow → 11 - 4 = 7 → tens digit was 9, now 8
8 - 3 = 5
8 - 2 = 6
→ 657 ✔
Problem #12: 145 - 103 = 42 ✔
But where does 76 come from? Looking at the puzzle, there’s a cloud with “76” — but none of our subtractions give 76. Did I miss a problem?
Wait — perhaps I miscounted the problems. There are 12 problems listed, and 12 puzzle pieces. Let’s list all 12 answers again clearly:
1. 962 - 332 = 630
2. 283 - 174 = 109
3. 634 - 222 = 412
4. 871 - 158 = 713 ← wait! Earlier I said 713, but is that correct?
Recalculate 871 - 158:
871
-158
------
1 - 8 → borrow → 11 - 8 = 3 → tens digit 7 becomes 6
6 - 5 = 1
8 - 1 = 7
→ 713 ✔
But 713 isn't in the puzzle either. Hmm.
Wait — look at the puzzle again mentally: the numbers visible are:
Top left: 227
Then 16, 209, 412
Middle: 401, 109, 91
Bottom: 76, 630, 657, 42
Ah! So 630 is there — that’s from 962 - 332.
And 76? We didn’t get 76 from any calculation. Let me check if I made a mistake in one of them.
What about 385 - 149?
385
-149
------
5 - 9 → borrow → 15 - 9 = 6 → tens digit 8 becomes 7
7 - 4 = 3
3 - 1 = 2 → 236 ✔
Still no 76.
Wait — what if 76 is from 145 - 69? But that’s not given.
Perhaps I misread a problem.
Look back at the original list:
The problems are arranged in 3 rows of 4:
Row 1:
962 - 332
283 - 174
634 - 222
871 - 158
Row 2:
385 - 149
422 - 213
196 - 105
654 - 427
Row 3:
152 - 136
826 - 425
891 - 234
145 - 103
We have 12 problems. Our answers:
1. 630
2. 109
3. 412
4. 713
5. 236
6. 209
7. 91
8. 227
9. 16
10. 401
11. 657
12. 42
Now compare to puzzle numbers mentioned: 227, 16, 209, 412, 401, 109, 91, 76, 630, 657, 42 — that’s 11 numbers. Missing one? And 76 is extra.
Wait — perhaps 76 is a typo or I miscalculated one.
Let me check 891 - 234 again:
891
-234
------
Units: 1 < 4 → borrow from tens → 11 - 4 = 7
Tens: 8 (after borrow) - 3 = 5
Hundreds: 8 - 2 = 6 → 657 ✔
What about 145 - 103 = 42 ✔
Is there a problem that equals 76?
Try 385 - 309? Not given.
Wait — perhaps 654 - 427 is not 227?
654
-427
------
4 - 7 → borrow → 14 - 7 = 7
5 becomes 4 → 4 - 2 = 2
6 - 4 = 2 → 227 ✔
All seem correct.
But in the puzzle, there's a "76" — maybe it's from a different problem? Or perhaps I need to accept that 76 might be an error, or perhaps I missed something.
Wait — let's look at the first problem again: 962 - 332 = 630 — yes.
Another idea: perhaps 871 - 158 is not 713? Let me calculate differently:
871 - 158 = ?
871 - 100 = 771
771 - 50 = 721
721 - 8 = 713 ✔
Same result.
Perhaps the puzzle has a piece labeled 76 that corresponds to a different calculation, but since all 12 problems are solved, and 76 is not among the answers, maybe it's a distractor or I need to re-express.
Wait — let's list all 12 answers and see which ones appear in the puzzle description:
Answers: 630, 109, 412, 713, 236, 209, 91, 227, 16, 401, 657, 42
Puzzle numbers mentioned: 227, 16, 209, 412, 401, 109, 91, 76, 630, 657, 42 — that's 11. The missing one is 713 or 236.
In the puzzle, is there a 713 or 236? From the user's description, they mentioned "76", which is not in our answers. Perhaps it's a mistake in my reading.
Another possibility: maybe 145 - 103 is not 42? 145 - 100 = 45, 45 - 3 = 42 ✔
Or 152 - 136: 152 - 130 = 22, 22 - 6 = 16 ✔
I think the issue is that in the actual puzzle, the number 76 might correspond to a different problem, but based on the given problems, none yield 76. However, since this is a picture puzzle, and the student is to match the answer to the correct piece, we can proceed with the calculations as done.
For the purpose of this task, since the instruction is to solve the subtraction problems, and we have done so accurately, we'll present the answers as calculated.
Final verification of all 12:
1. 962 - 332 = 630
2. 283 - 174 = 109
3. 634 - 222 = 412
4. 871 - 158 = 713
5. 385 - 149 = 236
6. 422 - 213 = 209
7. 196 - 105 = 91
8. 654 - 427 = 227
9. 152 - 136 = 16
10. 826 - 425 = 401
11. 891 - 234 = 657
12. 145 - 103 = 42
All calculations are verified and correct.
Final Answer:
630, 109, 412, 713, 236, 209, 91, 227, 16, 401, 657, 42
Parent Tip: Review the logic above to help your child master the concept of subtraction with regrouping puzzle worksheet.