Grade 4 Maths Resources (1.5.1 Subtraction of 5 Digit Numbers with ... - Free Printable
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Step-by-step solution for: Grade 4 Maths Resources (1.5.1 Subtraction of 5 Digit Numbers with ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Maths Resources (1.5.1 Subtraction of 5 Digit Numbers with ...
Let’s solve each subtraction problem step by step. We’ll go one at a time, carefully subtracting the bottom number from the top number.
---
Problem 1: 55645 - 23526
Start from the rightmost digit:
- 5 - 6 → can’t do, borrow → 15 - 6 = 9
- 3 (after borrowing) - 2 = 1
- 6 - 5 = 1
- 5 - 3 = 2
- 5 - 2 = 3
→ 32119
Check: 23526 + 32119 = 55645 ✔
---
Problem 2: 74580 - 28757
- 0 - 7 → borrow → 10 - 7 = 3
- 7 (after borrow) - 5 = 2
- 5 - 7 → borrow → 15 - 7 = 8
- 3 (after borrow) - 8 → borrow → 13 - 8 = 5
- 6 (after borrow) - 2 = 4
→ 45823
Check: 28757 + 45823 = 74580 ✔
---
Problem 3: 68449 - 42087
- 9 - 7 = 2
- 4 - 8 → borrow → 14 - 8 = 6
- 3 (after borrow) - 0 = 3
- 8 - 2 = 6
- 6 - 4 = 2
→ 26362
Check: 42087 + 26362 = 68449 ✔
---
Problem 4: 25671 - 24543
- 1 - 3 → borrow → 11 - 3 = 8
- 6 (after borrow) - 4 = 2
- 6 - 5 = 1
- 5 - 4 = 1
- 2 - 2 = 0
→ 1128
Check: 24543 + 1128 = 25671 ✔
---
Problem 5: 42678 - 30556
- 8 - 6 = 2
- 7 - 5 = 2
- 6 - 5 = 1
- 2 - 0 = 2
- 4 - 3 = 1
→ 12122
Check: 30556 + 12122 = 42678 ✔
---
Problem 6: 63676 - 35422
- 6 - 2 = 4
- 7 - 2 = 5
- 6 - 4 = 2
- 3 - 5 → borrow → 13 - 5 = 8
- 5 (after borrow) - 3 = 2
→ 28254
Check: 35422 + 28254 = 63676 ✔
---
Problem 7: 50220 - 24159
- 0 - 9 → borrow → 10 - 9 = 1
- 1 (after borrow) - 5 → borrow → 11 - 5 = 6
- 1 (after borrow) - 1 = 0
- 9 (after borrow from 5→4, then 0→9? Wait — let’s redo carefully)
Actually:
Write it out:
```
50220
- 24159
-------
```
Right to left:
- 0 - 9 → borrow from 2 → becomes 10 - 9 = 1; tens place is now 1
- 1 - 5 → borrow from hundreds (which is 2 → becomes 1), so 11 - 5 = 6
- 1 (hundreds) - 1 = 0
- 0 (thousands) - 4 → need to borrow from ten-thousands (5 → 4), so 10 - 4 = 6
- 4 (ten-thousands) - 2 = 2
Wait — that gives 26061? Let me check again.
Better way:
Use column subtraction with borrowing:
```
5 0 2 2 0
- 2 4 1 5 9
------------
```
Step-by-step:
Units: 0 < 9 → borrow from tens. Tens is 2 → becomes 1, units become 10 → 10 - 9 = 1
Tens: 1 (after borrow) < 5 → borrow from hundreds. Hundreds is 2 → becomes 1, tens become 11 → 11 - 5 = 6
Hundreds: 1 (after borrow) - 1 = 0
Thousands: 0 < 4 → borrow from ten-thousands. Ten-thousands is 5 → becomes 4, thousands become 10 → 10 - 4 = 6
Ten-thousands: 4 - 2 = 2
So result: 26061
Check: 24159 + 26061 = 50220 ✔
---
Problem 8: 36724 - 18360
- 4 - 0 = 4
- 2 - 6 → borrow → 12 - 6 = 6
- 6 (after borrow) - 3 = 3
- 6 - 8 → borrow → 16 - 8 = 8
- 2 (after borrow) - 1 = 1
→ 18364
Check: 18360 + 18364 = 36724 ✔
---
Problem 9: 78648 - 35234
- 8 - 4 = 4
- 4 - 3 = 1
- 6 - 2 = 4
- 8 - 5 = 3
- 7 - 3 = 4
→ 43414
Check: 35234 + 43414 = 78648 ✔
---
Problem 10: 46537 - 24484
- 7 - 4 = 3
- 3 - 8 → borrow → 13 - 8 = 5
- 4 (after borrow) - 4 = 0
- 6 - 4 = 2
- 4 - 2 = 2
→ 22053
Check: 24484 + 22053 = 46537 ✔
---
Problem 11: 82381 - 75660
- 1 - 0 = 1
- 8 - 6 = 2
- 3 - 6 → borrow → 13 - 6 = 7
- 1 (after borrow) - 5 → borrow → 11 - 5 = 6
- 7 (after borrow) - 7 = 0
→ 6721
Check: 75660 + 6721 = 82381 ✔
---
Problem 12: 90000 - 23358
This one needs multiple borrows.
```
90000
- 23358
-------
```
Units: 0 - 8 → borrow → but all zeros until 9.
Borrow chain:
Ten-thousands: 9 → becomes 8
Thousands: 0 → becomes 10, but we need to lend to hundreds → becomes 9
Hundreds: 0 → becomes 10, lend to tens → becomes 9
Tens: 0 → becomes 10, lend to units → becomes 9
Units: 10 - 8 = 2
Now:
Tens: 9 - 5 = 4
Hundreds: 9 - 3 = 6
Thousands: 9 - 3 = 6
Ten-thousands: 8 - 2 = 6
→ 66642
Check: 23358 + 66642 = 90000 ✔
---
Problem 13: 67236 - 20018
- 6 - 8 → borrow → 16 - 8 = 8
- 2 (after borrow) - 1 = 1
- 2 - 0 = 2
- 7 - 0 = 7
- 6 - 2 = 4
→ 47218
Check: 20018 + 47218 = 67236 ✔
---
Problem 14: 94364 - 34252
- 4 - 2 = 2
- 6 - 5 = 1
- 3 - 2 = 1
- 4 - 4 = 0
- 9 - 3 = 6
→ 60112
Check: 34252 + 60112 = 94364 ✔
---
Problem 15: 53699 - 22879
- 9 - 9 = 0
- 9 - 7 = 2
- 6 - 8 → borrow → 16 - 8 = 8
- 2 (after borrow) - 2 = 0
- 5 - 2 = 3
→ 30820
Check: 22879 + 30820 = 53699 ✔
---
Final Answer:
1) 32119
2) 45823
3) 26362
4) 1128
5) 12122
6) 28254
7) 26061
8) 18364
9) 43414
10) 22053
11) 6721
12) 66642
13) 47218
14) 60112
15) 30820
---
Problem 1: 55645 - 23526
Start from the rightmost digit:
- 5 - 6 → can’t do, borrow → 15 - 6 = 9
- 3 (after borrowing) - 2 = 1
- 6 - 5 = 1
- 5 - 3 = 2
- 5 - 2 = 3
→ 32119
Check: 23526 + 32119 = 55645 ✔
---
Problem 2: 74580 - 28757
- 0 - 7 → borrow → 10 - 7 = 3
- 7 (after borrow) - 5 = 2
- 5 - 7 → borrow → 15 - 7 = 8
- 3 (after borrow) - 8 → borrow → 13 - 8 = 5
- 6 (after borrow) - 2 = 4
→ 45823
Check: 28757 + 45823 = 74580 ✔
---
Problem 3: 68449 - 42087
- 9 - 7 = 2
- 4 - 8 → borrow → 14 - 8 = 6
- 3 (after borrow) - 0 = 3
- 8 - 2 = 6
- 6 - 4 = 2
→ 26362
Check: 42087 + 26362 = 68449 ✔
---
Problem 4: 25671 - 24543
- 1 - 3 → borrow → 11 - 3 = 8
- 6 (after borrow) - 4 = 2
- 6 - 5 = 1
- 5 - 4 = 1
- 2 - 2 = 0
→ 1128
Check: 24543 + 1128 = 25671 ✔
---
Problem 5: 42678 - 30556
- 8 - 6 = 2
- 7 - 5 = 2
- 6 - 5 = 1
- 2 - 0 = 2
- 4 - 3 = 1
→ 12122
Check: 30556 + 12122 = 42678 ✔
---
Problem 6: 63676 - 35422
- 6 - 2 = 4
- 7 - 2 = 5
- 6 - 4 = 2
- 3 - 5 → borrow → 13 - 5 = 8
- 5 (after borrow) - 3 = 2
→ 28254
Check: 35422 + 28254 = 63676 ✔
---
Problem 7: 50220 - 24159
- 0 - 9 → borrow → 10 - 9 = 1
- 1 (after borrow) - 5 → borrow → 11 - 5 = 6
- 1 (after borrow) - 1 = 0
- 9 (after borrow from 5→4, then 0→9? Wait — let’s redo carefully)
Actually:
Write it out:
```
50220
- 24159
-------
```
Right to left:
- 0 - 9 → borrow from 2 → becomes 10 - 9 = 1; tens place is now 1
- 1 - 5 → borrow from hundreds (which is 2 → becomes 1), so 11 - 5 = 6
- 1 (hundreds) - 1 = 0
- 0 (thousands) - 4 → need to borrow from ten-thousands (5 → 4), so 10 - 4 = 6
- 4 (ten-thousands) - 2 = 2
Wait — that gives 26061? Let me check again.
Better way:
Use column subtraction with borrowing:
```
5 0 2 2 0
- 2 4 1 5 9
------------
```
Step-by-step:
Units: 0 < 9 → borrow from tens. Tens is 2 → becomes 1, units become 10 → 10 - 9 = 1
Tens: 1 (after borrow) < 5 → borrow from hundreds. Hundreds is 2 → becomes 1, tens become 11 → 11 - 5 = 6
Hundreds: 1 (after borrow) - 1 = 0
Thousands: 0 < 4 → borrow from ten-thousands. Ten-thousands is 5 → becomes 4, thousands become 10 → 10 - 4 = 6
Ten-thousands: 4 - 2 = 2
So result: 26061
Check: 24159 + 26061 = 50220 ✔
---
Problem 8: 36724 - 18360
- 4 - 0 = 4
- 2 - 6 → borrow → 12 - 6 = 6
- 6 (after borrow) - 3 = 3
- 6 - 8 → borrow → 16 - 8 = 8
- 2 (after borrow) - 1 = 1
→ 18364
Check: 18360 + 18364 = 36724 ✔
---
Problem 9: 78648 - 35234
- 8 - 4 = 4
- 4 - 3 = 1
- 6 - 2 = 4
- 8 - 5 = 3
- 7 - 3 = 4
→ 43414
Check: 35234 + 43414 = 78648 ✔
---
Problem 10: 46537 - 24484
- 7 - 4 = 3
- 3 - 8 → borrow → 13 - 8 = 5
- 4 (after borrow) - 4 = 0
- 6 - 4 = 2
- 4 - 2 = 2
→ 22053
Check: 24484 + 22053 = 46537 ✔
---
Problem 11: 82381 - 75660
- 1 - 0 = 1
- 8 - 6 = 2
- 3 - 6 → borrow → 13 - 6 = 7
- 1 (after borrow) - 5 → borrow → 11 - 5 = 6
- 7 (after borrow) - 7 = 0
→ 6721
Check: 75660 + 6721 = 82381 ✔
---
Problem 12: 90000 - 23358
This one needs multiple borrows.
```
90000
- 23358
-------
```
Units: 0 - 8 → borrow → but all zeros until 9.
Borrow chain:
Ten-thousands: 9 → becomes 8
Thousands: 0 → becomes 10, but we need to lend to hundreds → becomes 9
Hundreds: 0 → becomes 10, lend to tens → becomes 9
Tens: 0 → becomes 10, lend to units → becomes 9
Units: 10 - 8 = 2
Now:
Tens: 9 - 5 = 4
Hundreds: 9 - 3 = 6
Thousands: 9 - 3 = 6
Ten-thousands: 8 - 2 = 6
→ 66642
Check: 23358 + 66642 = 90000 ✔
---
Problem 13: 67236 - 20018
- 6 - 8 → borrow → 16 - 8 = 8
- 2 (after borrow) - 1 = 1
- 2 - 0 = 2
- 7 - 0 = 7
- 6 - 2 = 4
→ 47218
Check: 20018 + 47218 = 67236 ✔
---
Problem 14: 94364 - 34252
- 4 - 2 = 2
- 6 - 5 = 1
- 3 - 2 = 1
- 4 - 4 = 0
- 9 - 3 = 6
→ 60112
Check: 34252 + 60112 = 94364 ✔
---
Problem 15: 53699 - 22879
- 9 - 9 = 0
- 9 - 7 = 2
- 6 - 8 → borrow → 16 - 8 = 8
- 2 (after borrow) - 2 = 0
- 5 - 2 = 3
→ 30820
Check: 22879 + 30820 = 53699 ✔
---
Final Answer:
1) 32119
2) 45823
3) 26362
4) 1128
5) 12122
6) 28254
7) 26061
8) 18364
9) 43414
10) 22053
11) 6721
12) 66642
13) 47218
14) 60112
15) 30820
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet with regrouping 5 digit.