Practice aligning decimal points with these 15 vertical addition and subtraction problems.

To solve these decimal addition and subtraction problems, we need to align the numbers by their decimal points and then perform the operations column by column, starting from the rightmost digit. If a number has fewer digits, we can add zeros to make the columns match. Let’s go through each problem step by step.

---

Problem 1:
```
45.60
+ 33.75
-------
```
- 0 + 5 = 5
- 6 + 7 = 13 → write 3, carry 1
- 5 + 3 + 1 = 9
- 4 + 3 = 7
→ 79.35

Problem 2:
```
43.00
+ 5.89
-------
```
- 0 + 9 = 9
- 0 + 8 = 8
- 3 + 5 = 8
- 4 + 0 = 4
→ 48.89

Problem 3:
```
53.740
- 23.182
--------
```
- 0 - 2 → borrow → 10 - 2 = 8
- 3 (after borrow) - 8 → borrow → 13 - 8 = 5
- 6 (after borrow) - 1 = 5
- 3 - 3 = 0
- 5 - 2 = 3
→ 30.558

Problem 4:
```
24.000
+ 9.623
--------
```
- 0 + 3 = 3
- 0 + 2 = 2
- 0 + 6 = 6
- 4 + 9 = 13 → write 3, carry 1
- 2 + 1 = 3
→ 33.623

Problem 5:
```
38.0
- 30.7
------
```
- 0 - 7 → borrow → 10 - 7 = 3
- 7 (after borrow) - 0 = 7
- 3 - 3 = 0
→ 7.3

Problem 6:
```
89.0
+ 59.6
------
```
- 0 + 6 = 6
- 9 + 9 = 18 → write 8, carry 1
- 8 + 5 + 1 = 14
→ 148.6

Problem 7:
```
55.0000
- 53.132
---------
```
Wait — let’s align properly:

Actually, it's:
```
55.000
- 53.132
--------
```
- 0 - 2 → borrow → 10 - 2 = 8
- 9 (after borrow) - 3 = 6
- 9 (after borrow) - 1 = 8
- 4 (after borrow) - 3 = 1
- 5 - 5 = 0
→ 1.868

Wait — let me recalculate carefully:

Start from right:
- Thousandths: 0 - 2 → borrow from hundredths → but hundredths is 0 → keep borrowing until tenths.
Tenths place: 0 → borrow from units (5). So units become 4, tenths become 10. Then tenths lend to hundredths → tenths become 9, hundredths become 10. Hundredths lend to thousandths → hundredths become 9, thousandths become 10.

Now:
- Thousandths: 10 - 2 = 8
- Hundredths: 9 - 3 = 6
- Tenths: 9 - 1 = 8
- Units: 4 - 3 = 1
- Tens: 5 - 5 = 0

So: 1.868

Problem 8:
```
18.0
+ 5.6
------
```
- 0 + 6 = 6
- 8 + 5 = 13 → write 3, carry 1
- 1 + 1 = 2
→ 23.6

Problem 9:
```
69.94
+ 63.525
--------
```
Align decimals:
```
69.940
+ 63.525
--------
```
- 0 + 5 = 5
- 4 + 2 = 6
- 9 + 5 = 14 → write 4, carry 1
- 9 + 3 + 1 = 13 → write 3, carry 1
- 6 + 6 + 1 = 13
→ 133.465

Problem 10:
```
92.00
+ 19.25
-------
```
- 0 + 5 = 5
- 0 + 2 = 2
- 2 + 9 = 11 → write 1, carry 1
- 9 + 1 + 1 = 11
→ 111.25

Problem 11:
```
50.55
- 1.294
--------
```
Align:
```
50.550
- 1.294
--------
```
- 0 - 4 → borrow → 10 - 4 = 6
- 4 (after borrow) - 9 → borrow → 14 - 9 = 5
- 4 (after borrow) - 2 = 2
- 0 - 1 → borrow → 10 - 1 = 9
- 4 (after borrow) - 0 = 4
→ 49.256

Problem 12:
```
6.0
+ 3.2
------
```
- 0 + 2 = 2
- 6 + 3 = 9
→ 9.2

Problem 13:
```
90.00
- 82.11
-------
```
- 0 - 1 → borrow → 10 - 1 = 9
- 9 (after borrow) - 1 = 8
- 9 (after borrow) - 2 = 7
- 8 - 8 = 0
→ 7.89

Problem 14:
```
9.0
- 7.8
------
```
- 0 - 8 → borrow → 10 - 8 = 2
- 8 (after borrow) - 7 = 1
→ 1.2

Problem 15:
```
44.600
- 11.463
--------
```
- 0 - 3 → borrow → 10 - 3 = 7
- 9 (after borrow) - 6 = 3
- 5 (after borrow) - 4 = 1
- 4 - 1 = 3
- 4 - 1 = 3
→ 33.137

---

Final Answers:

1) 79.35
2) 48.89
3) 30.558
4) 33.623
5) 7.3
6) 148.6
7) 1.868
8) 23.6
9) 133.465
10) 111.25
11) 49.256
12) 9.2
13) 7.89
14) 1.2
15) 33.137