Subtraction Worksheets (4-Digit Numbers) - Free Printable
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Step-by-step solution for: Subtraction Worksheets (4-Digit Numbers)
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction Worksheets (4-Digit Numbers)
Let's solve the Subtraction Math Crossword puzzle step by step.
We are given a crossword grid with subtraction problems for Across and Down clues. The answers to these subtraction problems will fill in the crossword grid.
---
We'll compute each subtraction problem carefully.
---
#### ACROSS
1. 7,007 - 3,586
```
7,007
- 3,586
-------
3,421
```
2. 2,165 - 365
```
2,165
- 365
-------
1,800
```
3. 9,622 - 2,719
```
9,622
- 2,719
-------
6,903
```
4. 8,757 - 5,788
```
8,757
- 5,788
-------
2,969
```
5. 5,742 - 3,153
```
5,742
- 3,153
-------
2,589
```
6. 5,069 - 3,368
```
5,069
- 3,368
-------
1,701
```
7. 8,744 - 1,008
```
8,744
- 1,008
-------
7,736
```
8. 9,379 - 3,904
```
9,379
- 3,904
-------
5,475
```
---
#### DOWN
1. 6,335 - 2,076
```
6,335
- 2,076
-------
4,259
```
2. 7,001 - 828
```
7,001
- 828
-------
6,173
```
3. 9,034 - 5,984
```
9,034
- 5,984
-------
3,050
```
4. 8,663 - 3,659
```
8,663
- 3,659
-------
5,004
```
5. 9,262 - 2,641
```
9,262
- 2,641
-------
6,621
```
6. 8,798 - 527
```
8,798
- 527
-------
8,271
```
7. 9,981 - 7,124
```
9,981
- 7,124
-------
2,857
```
---
Now let’s list all the answers:
#### ACROSS
1. 3,421
2. 1,800
3. 6,903
4. 2,969
5. 2,589
6. 1,701
7. 7,736
8. 5,475
#### DOWN
1. 4,259
2. 6,173
3. 3,050
4. 5,004
5. 6,621
6. 8,271
7. 2,857
---
Now we need to place these numbers into the crossword grid.
Let’s reconstruct the grid based on typical layout and clue positions.
Assuming standard numbering:
- Across clues go left to right.
- Down clues go top to bottom.
Let’s assume the grid is like this (based on common structure):
```
1 2 3 4 5 6 7 8 9 0
---------------------
1 | 3 4 2 1
2 | 1 8 0 0
3 | 6 9 0 3
4 | 2 9 6 9
5 | 2 5 8 9
6 | 1 7 0 1
7 | 7 7 3 6
8 | 5 4 7 5
```
But since it's a crossword, the digits must intersect.
Let’s use the clue numbers and try to match.
Looking at the clues:
- Across 1: 3,421 → 4-digit number
- Across 2: 1,800 → 4-digit
- Across 3: 6,903 → 4-digit
- Across 4: 2,969 → 4-digit
- Across 5: 2,589 → 4-digit
- Across 6: 1,701 → 4-digit
- Across 7: 7,736 → 4-digit
- Across 8: 5,475 → 4-digit
So all across clues are 4-digit numbers.
Now Down clues:
- Down 1: 4,259 → 4-digit
- Down 2: 6,173 → 4-digit
- Down 3: 3,050 → 4-digit
- Down 4: 5,004 → 4-digit
- Down 5: 6,621 → 4-digit
- Down 6: 8,271 → 4-digit
- Down 7: 2,857 → 4-digit
All down clues are also 4-digit.
This suggests a 4x4 or larger grid, but likely more than 4 columns.
Wait — let’s look at the actual image structure.
From the image (as described), the crossword has multiple entries, and the clues are numbered.
Let’s suppose the grid is 8x8 or similar, with overlapping numbers.
But since we can't see the image, we must infer from the clue positions.
Let’s assume the grid has:
- Across clues starting at:
- 1: row 1, column 1 → 3,421
- 2: row 2, column 1 → 1,800
- 3: row 3, column 1 → 6,903
- 4: row 4, column 1 → 2,969
- 5: row 5, column 1 → 2,589
- 6: row 6, column 1 → 1,701
- 7: row 7, column 1 → 7,736
- 8: row 8, column 1 → 5,475
But that would make all across clues start in the same column — unlikely.
Alternatively, perhaps:
- Across 1: starts at (1,1) → 3,421 → occupies (1,1), (1,2), (1,3), (1,4)
- Across 2: starts at (2,1) → 1,800 → (2,1), (2,2), (2,3), (2,4)
- But then Down 1: starts at (1,1) → 4,259 → (1,1), (2,1), (3,1), (4,1)
So (1,1) = 3 (from Across 1) and must be 4 (from Down 1)? Conflict.
Wait — that means our assumption is wrong.
So let’s check which digit overlaps.
Try matching Across 1: 3,421
And Down 1: 4,259
If Across 1 starts at (1,1), then:
- (1,1) = 3
- (1,2) = 4
- (1,3) = 2
- (1,4) = 1
Down 1 starts at (1,1): so first digit is 4 → conflict with 3.
So cannot be.
Try Across 1 = 3,421 → first digit 3
But Down 1 = 4,259 → first digit 4 → so they cannot share first digit.
So perhaps Across 1 is not at (1,1).
Wait — maybe Down 1 starts at (1,1), so its first digit is 4.
Then Across 1 must have its first digit at some other position.
Let’s look at possible intersections.
Let’s consider Across 1: 3,421 → digits: 3,4,2,1
Down 1: 4,259 → digits: 4,2,5,9
They share '4' and '2' — could overlap.
Suppose Across 1 starts at (1,2), so:
- (1,2) = 3
- (1,3) = 4
- (1,4) = 2
- (1,5) = 1
Then Down 1 starts at (1,1):
- (1,1) = 4
- (2,1) = 2
- (3,1) = 5
- (4,1) = 9
No conflict yet.
But Across 1 starts at (1,2) = 3, so (1,2)=3, but Down 1 has (1,1)=4 — no conflict.
Now check Across 2: 1,800 → digits: 1,8,0,0
Where can it go?
Possibly row 2, starting at (2,1)?
Then (2,1) = 1
But Down 1 has (2,1) = 2 → conflict.
So Across 2 cannot start at (2,1)
Try Across 2 at (2,2): (2,2)=1, (2,3)=8, (2,4)=0, (2,5)=0
But Down 1 has (2,1)=2 — OK
But (2,2)=1 — is there a down clue through (2,2)? Possibly Down 2.
Down 2: 6,173 → digits: 6,1,7,3
So if Down 2 starts at (1,2), then:
- (1,2) = 6
- (2,2) = 1
- (3,2) = 7
- (4,2) = 3
Now compare with Across 1 at (1,2)=3 — conflict! (1,2) cannot be both 3 and 6.
So contradiction.
Alternative: Across 1 = 3,421 → (1,1)=3, (1,2)=4, (1,3)=2, (1,4)=1
Down 1 = 4,259 → (1,1)=4 → conflict with 3.
So impossible.
Wait — perhaps Across 1 is not 3,421? Let’s double-check the calculation.
Across 1: 7,007 - 3,586
7,007
-3,586
= ?
7,007 - 3,586 = 3,421 → correct.
Down 1: 6,335 - 2,076 = 4,259 → correct.
So both are correct.
But they can't share a cell unless digit matches.
So maybe Across 1 is not at (1,1). Maybe it's elsewhere.
Let’s try to find a clue that can intersect.
Look at Across 1: 3,421
Down 1: 4,259
Can they share a digit?
3,421 has digits: 3,4,2,1
4,259 has: 4,2,5,9
Common digits: 4 and 2
So maybe they cross where digit 4 or 2 is shared.
Suppose Across 1 is placed such that its second digit is 4, and Down 1’s first digit is 4 — so they intersect at the 4.
So let’s suppose:
- Across 1: 3,421 → starts at (1,1): (1,1)=3, (1,2)=4, (1,3)=2, (1,4)=1
- Down 1: 4,259 → starts at (1,2): (1,2)=4, (2,2)=2, (3,2)=5, (4,2)=9
Then (1,2) = 4 — matches!
So:
- (1,1) = 3
- (1,2) = 4
- (1,3) = 2
- (1,4) = 1
- (1,2) = 4 → OK
- (2,2) = 2
- (3,2) = 5
- (4,2) = 9
Now Across 2: 1,800 → digits: 1,8,0,0
Where can it go?
Possibly row 2, starting at (2,1)? Then (2,1)=1, (2,2)=8, (2,3)=0, (2,4)=0
But (2,2) is already 2 from Down 1 → conflict.
Try Across 2 at (2,3): (2,3)=1, (2,4)=8, (2,5)=0, (2,6)=0
But we don’t know how wide the grid is.
Alternatively, Across 2 might be at (2,1): (2,1)=1, (2,2)=8 → but (2,2) is 2 → conflict.
So no.
Try Across 2 at (3,1): (3,1)=1, (3,2)=8 → but (3,2) is 5 → conflict.
Not working.
Wait — perhaps Across 2 is at (2,1): (2,1)=1, (2,2)=8, (2,3)=0, (2,4)=0
But (2,2)=2 from Down 1 → conflict.
So impossible.
Unless Down 1 doesn’t go to (2,2).
But we assumed Down 1 starts at (1,2), so (2,2)=2.
Is there another possibility?
Maybe Across 1 is not at (1,1).
Let’s try Across 1 at (1,2): (1,2)=3, (1,3)=4, (1,4)=2, (1,5)=1
Then Down 1 = 4,259 → must start at (1,1): (1,1)=4, (2,1)=2, (3,1)=5, (4,1)=9
(1,1)=4, (1,2)=3 — no conflict.
Now Across 2: 1,800 → try at (2,1): (2,1)=1, (2,2)=8, (2,3)=0, (2,4)=0
But (2,1)=2 from Down 1 → conflict.
Try Across 2 at (2,2): (2,2)=1, (2,3)=8, (2,4)=0, (2,5)=0
But (2,2) is not yet set.
Down 1 has (2,1)=2, (2,2)=? — not set yet.
So possible.
But what is Down 2? 6,173 → digits: 6,1,7,3
If Down 2 starts at (1,2): (1,2)=6, (2,2)=1, (3,2)=7, (4,2)=3
But Across 1 has (1,2)=3 → conflict with 6.
So no.
Try Down 2 at (1,3): (1,3)=6, (2,3)=1, (3,3)=7, (4,3)=3
But Across 1 has (1,3)=4 → conflict.
No.
Try Down 2 at (1,4): (1,4)=6, (2,4)=1, (3,4)=7, (4,4)=3
But Across 1 has (1,4)=1 → conflict.
No.
So Down 2 cannot start at (1,2), (1,3), or (1,4).
Try Down 2 at (1,1): (1,1)=6, (2,1)=1, (3,1)=7, (4,1)=3
But Down 1 has (1,1)=4 → conflict.
So impossible.
This is getting complicated.
Perhaps we should instead accept that the grid is designed so that the answers fit, and provide the solved values.
Since we can't see the image, the best we can do is provide the correct answers to the subtraction problems, which are required to fill the grid.
---
Here are the correct answers for each clue:
#### ACROSS
1. 7,007 - 3,586 = 3,421
2. 2,165 - 365 = 1,800
3. 9,622 - 2,719 = 6,903
4. 8,757 - 5,788 = 2,969
5. 5,742 - 3,153 = 2,589
6. 5,069 - 3,368 = 1,701
7. 8,744 - 1,008 = 7,736
8. 9,379 - 3,904 = 5,475
#### DOWN
1. 6,335 - 2,076 = 4,259
2. 7,001 - 828 = 6,173
3. 9,034 - 5,984 = 3,050
4. 8,663 - 3,659 = 5,004
5. 9,262 - 2,641 = 6,621
6. 8,798 - 527 = 8,271
7. 9,981 - 7,124 = 2,857
---
To complete the crossword, you would write these numbers into the grid so that the digits intersect correctly.
For example:
- If Across 1 is 3,421 and Down 1 is 4,259, they may intersect at the '4' and '2'.
- You’d need to place them so that shared digits align.
But without the visual grid, we can only provide the numerical answers.
---
The solutions to the subtraction problems are:
Across:
1. 3,421
2. 1,800
3. 6,903
4. 2,969
5. 2,589
6. 1,701
7. 7,736
8. 5,475
Down:
1. 4,259
2. 6,173
3. 3,050
4. 5,004
5. 6,621
6. 8,271
7. 2,857
Use these to fill in the crossword grid accordingly.
We are given a crossword grid with subtraction problems for Across and Down clues. The answers to these subtraction problems will fill in the crossword grid.
---
Step 1: Solve Each Subtraction Problem
We'll compute each subtraction problem carefully.
---
#### ACROSS
1. 7,007 - 3,586
```
7,007
- 3,586
-------
3,421
```
2. 2,165 - 365
```
2,165
- 365
-------
1,800
```
3. 9,622 - 2,719
```
9,622
- 2,719
-------
6,903
```
4. 8,757 - 5,788
```
8,757
- 5,788
-------
2,969
```
5. 5,742 - 3,153
```
5,742
- 3,153
-------
2,589
```
6. 5,069 - 3,368
```
5,069
- 3,368
-------
1,701
```
7. 8,744 - 1,008
```
8,744
- 1,008
-------
7,736
```
8. 9,379 - 3,904
```
9,379
- 3,904
-------
5,475
```
---
#### DOWN
1. 6,335 - 2,076
```
6,335
- 2,076
-------
4,259
```
2. 7,001 - 828
```
7,001
- 828
-------
6,173
```
3. 9,034 - 5,984
```
9,034
- 5,984
-------
3,050
```
4. 8,663 - 3,659
```
8,663
- 3,659
-------
5,004
```
5. 9,262 - 2,641
```
9,262
- 2,641
-------
6,621
```
6. 8,798 - 527
```
8,798
- 527
-------
8,271
```
7. 9,981 - 7,124
```
9,981
- 7,124
-------
2,857
```
---
Now let’s list all the answers:
Final Answers:
#### ACROSS
1. 3,421
2. 1,800
3. 6,903
4. 2,969
5. 2,589
6. 1,701
7. 7,736
8. 5,475
#### DOWN
1. 4,259
2. 6,173
3. 3,050
4. 5,004
5. 6,621
6. 8,271
7. 2,857
---
Step 2: Fill in the Grid
Now we need to place these numbers into the crossword grid.
Let’s reconstruct the grid based on typical layout and clue positions.
Assuming standard numbering:
- Across clues go left to right.
- Down clues go top to bottom.
Let’s assume the grid is like this (based on common structure):
```
1 2 3 4 5 6 7 8 9 0
---------------------
1 | 3 4 2 1
2 | 1 8 0 0
3 | 6 9 0 3
4 | 2 9 6 9
5 | 2 5 8 9
6 | 1 7 0 1
7 | 7 7 3 6
8 | 5 4 7 5
```
But since it's a crossword, the digits must intersect.
Let’s use the clue numbers and try to match.
Looking at the clues:
- Across 1: 3,421 → 4-digit number
- Across 2: 1,800 → 4-digit
- Across 3: 6,903 → 4-digit
- Across 4: 2,969 → 4-digit
- Across 5: 2,589 → 4-digit
- Across 6: 1,701 → 4-digit
- Across 7: 7,736 → 4-digit
- Across 8: 5,475 → 4-digit
So all across clues are 4-digit numbers.
Now Down clues:
- Down 1: 4,259 → 4-digit
- Down 2: 6,173 → 4-digit
- Down 3: 3,050 → 4-digit
- Down 4: 5,004 → 4-digit
- Down 5: 6,621 → 4-digit
- Down 6: 8,271 → 4-digit
- Down 7: 2,857 → 4-digit
All down clues are also 4-digit.
This suggests a 4x4 or larger grid, but likely more than 4 columns.
Wait — let’s look at the actual image structure.
From the image (as described), the crossword has multiple entries, and the clues are numbered.
Let’s suppose the grid is 8x8 or similar, with overlapping numbers.
But since we can't see the image, we must infer from the clue positions.
Let’s assume the grid has:
- Across clues starting at:
- 1: row 1, column 1 → 3,421
- 2: row 2, column 1 → 1,800
- 3: row 3, column 1 → 6,903
- 4: row 4, column 1 → 2,969
- 5: row 5, column 1 → 2,589
- 6: row 6, column 1 → 1,701
- 7: row 7, column 1 → 7,736
- 8: row 8, column 1 → 5,475
But that would make all across clues start in the same column — unlikely.
Alternatively, perhaps:
- Across 1: starts at (1,1) → 3,421 → occupies (1,1), (1,2), (1,3), (1,4)
- Across 2: starts at (2,1) → 1,800 → (2,1), (2,2), (2,3), (2,4)
- But then Down 1: starts at (1,1) → 4,259 → (1,1), (2,1), (3,1), (4,1)
So (1,1) = 3 (from Across 1) and must be 4 (from Down 1)? Conflict.
Wait — that means our assumption is wrong.
So let’s check which digit overlaps.
Try matching Across 1: 3,421
And Down 1: 4,259
If Across 1 starts at (1,1), then:
- (1,1) = 3
- (1,2) = 4
- (1,3) = 2
- (1,4) = 1
Down 1 starts at (1,1): so first digit is 4 → conflict with 3.
So cannot be.
Try Across 1 = 3,421 → first digit 3
But Down 1 = 4,259 → first digit 4 → so they cannot share first digit.
So perhaps Across 1 is not at (1,1).
Wait — maybe Down 1 starts at (1,1), so its first digit is 4.
Then Across 1 must have its first digit at some other position.
Let’s look at possible intersections.
Let’s consider Across 1: 3,421 → digits: 3,4,2,1
Down 1: 4,259 → digits: 4,2,5,9
They share '4' and '2' — could overlap.
Suppose Across 1 starts at (1,2), so:
- (1,2) = 3
- (1,3) = 4
- (1,4) = 2
- (1,5) = 1
Then Down 1 starts at (1,1):
- (1,1) = 4
- (2,1) = 2
- (3,1) = 5
- (4,1) = 9
No conflict yet.
But Across 1 starts at (1,2) = 3, so (1,2)=3, but Down 1 has (1,1)=4 — no conflict.
Now check Across 2: 1,800 → digits: 1,8,0,0
Where can it go?
Possibly row 2, starting at (2,1)?
Then (2,1) = 1
But Down 1 has (2,1) = 2 → conflict.
So Across 2 cannot start at (2,1)
Try Across 2 at (2,2): (2,2)=1, (2,3)=8, (2,4)=0, (2,5)=0
But Down 1 has (2,1)=2 — OK
But (2,2)=1 — is there a down clue through (2,2)? Possibly Down 2.
Down 2: 6,173 → digits: 6,1,7,3
So if Down 2 starts at (1,2), then:
- (1,2) = 6
- (2,2) = 1
- (3,2) = 7
- (4,2) = 3
Now compare with Across 1 at (1,2)=3 — conflict! (1,2) cannot be both 3 and 6.
So contradiction.
Alternative: Across 1 = 3,421 → (1,1)=3, (1,2)=4, (1,3)=2, (1,4)=1
Down 1 = 4,259 → (1,1)=4 → conflict with 3.
So impossible.
Wait — perhaps Across 1 is not 3,421? Let’s double-check the calculation.
Across 1: 7,007 - 3,586
7,007
-3,586
= ?
7,007 - 3,586 = 3,421 → correct.
Down 1: 6,335 - 2,076 = 4,259 → correct.
So both are correct.
But they can't share a cell unless digit matches.
So maybe Across 1 is not at (1,1). Maybe it's elsewhere.
Let’s try to find a clue that can intersect.
Look at Across 1: 3,421
Down 1: 4,259
Can they share a digit?
3,421 has digits: 3,4,2,1
4,259 has: 4,2,5,9
Common digits: 4 and 2
So maybe they cross where digit 4 or 2 is shared.
Suppose Across 1 is placed such that its second digit is 4, and Down 1’s first digit is 4 — so they intersect at the 4.
So let’s suppose:
- Across 1: 3,421 → starts at (1,1): (1,1)=3, (1,2)=4, (1,3)=2, (1,4)=1
- Down 1: 4,259 → starts at (1,2): (1,2)=4, (2,2)=2, (3,2)=5, (4,2)=9
Then (1,2) = 4 — matches!
So:
- (1,1) = 3
- (1,2) = 4
- (1,3) = 2
- (1,4) = 1
- (1,2) = 4 → OK
- (2,2) = 2
- (3,2) = 5
- (4,2) = 9
Now Across 2: 1,800 → digits: 1,8,0,0
Where can it go?
Possibly row 2, starting at (2,1)? Then (2,1)=1, (2,2)=8, (2,3)=0, (2,4)=0
But (2,2) is already 2 from Down 1 → conflict.
Try Across 2 at (2,3): (2,3)=1, (2,4)=8, (2,5)=0, (2,6)=0
But we don’t know how wide the grid is.
Alternatively, Across 2 might be at (2,1): (2,1)=1, (2,2)=8 → but (2,2) is 2 → conflict.
So no.
Try Across 2 at (3,1): (3,1)=1, (3,2)=8 → but (3,2) is 5 → conflict.
Not working.
Wait — perhaps Across 2 is at (2,1): (2,1)=1, (2,2)=8, (2,3)=0, (2,4)=0
But (2,2)=2 from Down 1 → conflict.
So impossible.
Unless Down 1 doesn’t go to (2,2).
But we assumed Down 1 starts at (1,2), so (2,2)=2.
Is there another possibility?
Maybe Across 1 is not at (1,1).
Let’s try Across 1 at (1,2): (1,2)=3, (1,3)=4, (1,4)=2, (1,5)=1
Then Down 1 = 4,259 → must start at (1,1): (1,1)=4, (2,1)=2, (3,1)=5, (4,1)=9
(1,1)=4, (1,2)=3 — no conflict.
Now Across 2: 1,800 → try at (2,1): (2,1)=1, (2,2)=8, (2,3)=0, (2,4)=0
But (2,1)=2 from Down 1 → conflict.
Try Across 2 at (2,2): (2,2)=1, (2,3)=8, (2,4)=0, (2,5)=0
But (2,2) is not yet set.
Down 1 has (2,1)=2, (2,2)=? — not set yet.
So possible.
But what is Down 2? 6,173 → digits: 6,1,7,3
If Down 2 starts at (1,2): (1,2)=6, (2,2)=1, (3,2)=7, (4,2)=3
But Across 1 has (1,2)=3 → conflict with 6.
So no.
Try Down 2 at (1,3): (1,3)=6, (2,3)=1, (3,3)=7, (4,3)=3
But Across 1 has (1,3)=4 → conflict.
No.
Try Down 2 at (1,4): (1,4)=6, (2,4)=1, (3,4)=7, (4,4)=3
But Across 1 has (1,4)=1 → conflict.
No.
So Down 2 cannot start at (1,2), (1,3), or (1,4).
Try Down 2 at (1,1): (1,1)=6, (2,1)=1, (3,1)=7, (4,1)=3
But Down 1 has (1,1)=4 → conflict.
So impossible.
This is getting complicated.
Perhaps we should instead accept that the grid is designed so that the answers fit, and provide the solved values.
Since we can't see the image, the best we can do is provide the correct answers to the subtraction problems, which are required to fill the grid.
---
✔ Final Answer: Subtraction Results
Here are the correct answers for each clue:
#### ACROSS
1. 7,007 - 3,586 = 3,421
2. 2,165 - 365 = 1,800
3. 9,622 - 2,719 = 6,903
4. 8,757 - 5,788 = 2,969
5. 5,742 - 3,153 = 2,589
6. 5,069 - 3,368 = 1,701
7. 8,744 - 1,008 = 7,736
8. 9,379 - 3,904 = 5,475
#### DOWN
1. 6,335 - 2,076 = 4,259
2. 7,001 - 828 = 6,173
3. 9,034 - 5,984 = 3,050
4. 8,663 - 3,659 = 5,004
5. 9,262 - 2,641 = 6,621
6. 8,798 - 527 = 8,271
7. 9,981 - 7,124 = 2,857
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To complete the crossword, you would write these numbers into the grid so that the digits intersect correctly.
For example:
- If Across 1 is 3,421 and Down 1 is 4,259, they may intersect at the '4' and '2'.
- You’d need to place them so that shared digits align.
But without the visual grid, we can only provide the numerical answers.
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🟩 Final Answer (boxed):
The solutions to the subtraction problems are:
Across:
1. 3,421
2. 1,800
3. 6,903
4. 2,969
5. 2,589
6. 1,701
7. 7,736
8. 5,475
Down:
1. 4,259
2. 6,173
3. 3,050
4. 5,004
5. 6,621
6. 8,271
7. 2,857
Use these to fill in the crossword grid accordingly.
Parent Tip: Review the logic above to help your child master the concept of 4 digits subtraction worksheet.