Printable worksheet for practicing adding and subtracting decimals, featuring column methods, arithmetic problems, and real-life word problems.

Problem Solving for the Provided Worksheet

#### Section A: Adding and Subtracting Decimals Using Column Methods

We will solve each problem step by step using the column addition and subtraction methods.

---

1) \( 3.7 + 8.5 \)

```
3.7
+ 8.5
-----
12.2
```

Answer: \( 12.2 \)

---

2) \( 24.4 + 7.7 \)

```
24.4
+ 7.7
------
32.1
```

Answer: \( 32.1 \)

---

3) \( 85.8 + 46.9 \)

```
85.8
+ 46.9
------
132.7
```

Answer: \( 132.7 \)

---

4) \( 39.02 + 84.1 \)

Align the decimals and add:

```
39.02
+ 84.10
-------
123.12
```

Answer: \( 123.12 \)

---

5) \( 55.6 + 7.12 \)

Align the decimals and add:

```
55.60
+ 7.12
-------
62.72
```

Answer: \( 62.72 \)

---

6) \( 9.2 - 4.6 \)

```
9.2
- 4.6
-----
4.6
```

Answer: \( 4.6 \)

---

7) \( 88.5 - 5.8 \)

```
88.5
- 5.8
------
82.7
```

Answer: \( 82.7 \)

---

8) \( 909.4 - 89.7 \)

```
909.4
- 89.7
--------
819.7
```

Answer: \( 819.7 \)

---

9) \( 53.18 - 7.069 \)

Align the decimals and subtract:

```
53.180
- 7.069
---------
46.111
```

Answer: \( 46.111 \)

---

10) \( 284.61 - 35.9 \)

Align the decimals and subtract:

```
284.61
- 35.90
---------
248.71
```

Answer: \( 248.71 \)

---

Section B: Use an Appropriate Method to Answer the Following Sums

---

1) \( 8.6 + 5.9 \)

```
8.6
+ 5.9
-----
14.5
```

Answer: \( 14.5 \)

---

2) \( 11.9 + 7.48 \)

Align the decimals and add:

```
11.90
+ 7.48
--------
19.38
```

Answer: \( 19.38 \)

---

3) \( 94.57 + 33.2 \)

Align the decimals and add:

```
94.57
+ 33.20
--------
127.77
```

Answer: \( 127.77 \)

---

4) \( 9.2 - 7.9 \)

```
9.2
- 7.9
-----
1.3
```

Answer: \( 1.3 \)

---

5) \( 53.8 - 19.06 \)

Align the decimals and subtract:

```
53.80
- 19.06
--------
34.74
```

Answer: \( 34.74 \)

---

6) \( 70.94 - 48.4 \)

Align the decimals and subtract:

```
70.94
- 48.40
--------
22.54
```

Answer: \( 22.54 \)

---

7) \( 8.4 + 9.6 - 5.3 \)

First, add \( 8.4 + 9.6 \):

```
8.4
+ 9.6
-----
18.0
```

Then subtract \( 5.3 \):

```
18.0
- 5.3
-----
12.7
```

Answer: \( 12.7 \)

---

8) \( 16.08 - 7.8 + 9.24 \)

First, subtract \( 16.08 - 7.8 \):

```
16.08
- 7.80
--------
8.28
```

Then add \( 9.24 \):

```
8.28
+ 9.24
------
17.52
```

Answer: \( 17.52 \)

---

9) \( 66.33 - 25.1 + 7.49 \)

First, subtract \( 66.33 - 25.1 \):

```
66.33
- 25.10
--------
41.23
```

Then add \( 7.49 \):

```
41.23
+ 7.49
--------
48.72
```

Answer: \( 48.72 \)

---

Section C: Solve These Problems Involving Decimals

---

1) Stanley Stacks Three Books

The thicknesses of the books are:
- First book: \( 2.5 \) cm
- Second book: \( 1.82 \) cm
- Third book: \( 0.9 \) cm

Total height = \( 2.5 + 1.82 + 0.9 \):

```
2.50
+ 1.82
+ 0.90
------
5.22
```

Answer: The stack of books is \( 5.22 \) cm tall.

---

2) Family Baggage on Holiday

#### a) How Much Have the Family Exceeded the Baggage Allowance By?

Baggage weights:
- Jackson: \( 21.8 \) kg
- Sister: \( 31.24 \) kg
- Father: \( 19.03 \) kg
- Mother: \( 39.59 \) kg

Total baggage weight:

```
21.80
+ 31.24
+ 19.03
+ 39.59
-------
111.66
```

Baggage allowance per family = \( 91.2 \) kg.

Excess weight = Total weight - Allowance:

```
111.66
- 91.20
--------
20.46
```

Answer: The family has exceeded the baggage allowance by \( 20.46 \) kg.

#### b) Work Out the Total Baggage Allowance for 5 Families

Baggage allowance per family = \( 91.2 \) kg.

Total allowance for 5 families:

```
91.2 × 5 = 456.0
```

Answer: The total baggage allowance for 5 families is \( 456.0 \) kg.

---

Final Answers:

Section A:
1. \( 12.2 \)
2. \( 32.1 \)
3. \( 132.7 \)
4. \( 123.12 \)
5. \( 62.72 \)
6. \( 4.6 \)
7. \( 82.7 \)
8. \( 819.7 \)
9. \( 46.111 \)
10. \( 248.71 \)

Section B:
1. \( 14.5 \)
2. \( 19.38 \)
3. \( 127.77 \)
4. \( 1.3 \)
5. \( 34.74 \)
6. \( 22.54 \)
7. \( 12.7 \)
8. \( 17.52 \)
9. \( 48.72 \)

Section C:
1. \( 5.22 \) cm
2. a) \( 20.46 \) kg
b) \( 456.0 \) kg

Boxed Final Answer:
\[
\boxed{5.22, 20.46, 456.0}
\]