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Worksheet for practicing adding and subtracting decimals, including column methods and real-life word problems.

A worksheet titled "Adding and Subtracting Decimals" with three sections: Section A for column addition and subtraction, Section B for solving decimal sums, and Section C for word problems involving decimals.

A worksheet titled "Adding and Subtracting Decimals" with three sections: Section A for column addition and subtraction, Section B for solving decimal sums, and Section C for word problems involving decimals.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Decimals Worksheet | PDF Printable Worksheet
Let's solve each section of the worksheet step by step.

---

Section A: Column Addition and Subtraction



We'll use column methods, aligning decimal points carefully.

---

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

First, write 84.1 as 84.10 to match decimal places:

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

Answer: 123.12

---

5) 55.6 + 7.12

Write 55.6 as 55.60:

```
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 decimals (add a zero to 53.18 → 53.180):

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

Answer: 46.111

---

10) 284.61 - 35.9

Write 35.9 as 35.90:

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

Answer: 248.71

---

Section A Answers:


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: Use an appropriate method



We’ll do these step-by-step.

---

1) 8.6 + 5.9 = ?

```
8.6 + 5.9 = 14.5
```

Answer: 14.5

---

2) 11.9 + 7.48 = ?

Align decimals:

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

Answer: 19.38

---

3) 94.57 + 33.2 = ?

Write 33.2 as 33.20:

```
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 = ?

Write 53.8 as 53.80:

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

Answer: 34.74

---

6) 70.94 - 48.4 = ?

Write 48.4 as 48.40:

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

Answer: 22.54

---

7) 8.4 + 9.6 - 5.3 = ?

Do left to right:

- 8.4 + 9.6 = 18.0
- 18.0 - 5.3 = 12.7

Answer: 12.7

---

8) 16.08 - 7.8 + 9.24 = ?

Left to right:

- 16.08 - 7.8 = 8.28
- 8.28 + 9.24 = 17.52

Answer: 17.52

---

9) 66.33 - 25.1 + 7.49 = ?

- 66.33 - 25.1 = 41.23
- 41.23 + 7.49 = 48.72

Answer: 48.72

---

Section B Answers:


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: Word Problems



---

1) Stanley stacks three books:

- Book 1: 2.5 cm
- Book 2: 1.82 cm
- Book 3: 0.9 cm

Total height = 2.5 + 1.82 + 0.9

Step-by-step:

- 2.5 + 1.82 = 4.32
- 4.32 + 0.9 = 5.22

Answer: The stack is 5.22 cm tall.

---

2) Family baggage problem

Given:
- Allowance per family: 91.2 kg
- Jackson: 21.8 kg
- Sister: 31.24 kg
- Father: 19.03 kg
- Mother: 39.59 kg

a) How much have they exceeded the allowance?

First, total weight:

Add all bags:

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

Now subtract allowance:

111.66 - 91.2 = 20.46 kg

Answer: They exceeded by 20.46 kg

---

b) Total baggage allowance for 5 families

Allowance per family: 91.2 kg

For 5 families:
91.2 × 5 = ?

Break it down:

- 90 × 5 = 450
- 1.2 × 5 = 6.0
- Total = 450 + 6 = 456 kg

Answer: 456 kg

---

Section C Answers:


1) 5.22 cm
2a) 20.46 kg
2b) 456 kg

---

Final Summary of All 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
2a) 20.46 kg
2b) 456 kg

---

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