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Decimals Worksheets - Math Monks - Free Printable

Decimals Worksheets - Math Monks

Educational worksheet: Decimals Worksheets - Math Monks. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Decimals Worksheets - Math Monks
Let's solve each problem step by step in the Decimal Worksheet.

---

Add



#### a) 34.67 + 27.85

```
34.67
+ 27.85
-------
62.52
```

Answer: 62.52

#### b) 237.66 + 39.10

```
237.66
+ 39.10
--------
276.76
```

Answer: 276.76

#### c) 88.49 + 70.40

```
88.49
+ 70.40
--------
158.89
```

Answer: 158.89

---

Subtract



#### a) 45.63 - 30.12

```
45.63
- 30.12
--------
15.51
```

Answer: 15.51

#### b) 94.609 - 78.517

```
94.609
- 78.517
--------
16.092
```

Answer: 16.092

#### c) 6.97 - 5.03

```
6.97
- 5.03
------
1.94
```

Answer: 1.94

---

Multiply



#### a) 6.72 × 12

First, ignore decimals:
- 672 × 12 = ?

```
672
× 12
------
1344
6720
------
8064
```

Now count decimal places: 6.72 has 2 decimal places → answer has 2 decimal places.

So: 80.64

Answer: 80.64

#### b) 97.304 × 67.3

Step 1: Ignore decimals → 97304 × 673

We can do this in parts:

But let's use approximation or careful multiplication:

First, total decimal places:
- 97.304 → 3 decimals
- 67.3 → 1 decimal
→ Total: 4 decimal places

Now compute:

```
97304
× 673
-------
291912 (97304 × 3)
681128 (97304 × 70)
583824 (97304 × 600)
-----------
65437892
```

Wait — better to do it step-by-step:

Actually:

```
97304
× 673
------
97304 × 3 = 291,912
97304 × 70 = 6,811,280
97304 × 600 = 58,382,400
-------------------------
Add: 291,912 + 6,811,280 = 7,103,192
+ 58,382,400 = 65,485,592
```

So, 97304 × 673 = 65,485,592

Now add back 4 decimal places → move decimal 4 places left:

6,548.5592

Answer: 6,548.5592

#### c) 13.79 × 9.36

Decimals: 13.79 → 2, 9.36 → 2 → total 4 decimal places

Compute 1379 × 936

Break it down:

```
1379
× 936
-----
8274 (1379 × 6)
41370 (1379 × 30)
124110 (1379 × 900)
--------
129,324
```

Wait — better:

```
1379
× 936
-----
1379 × 6 = 8,274
1379 × 30 = 41,370
1379 × 900 = 1,241,100
-------------
Add:
8,274
+41,370 = 49,644
+1,241,100 = 1,290,744
```

So: 1,290,744

Now apply 4 decimal places → 12,907.44

Wait — 1,290,744 with 4 decimal places:

12,907.44

Answer: 12,907.44

---

Divide



#### a) 7 ) 99.67

Divide 99.67 ÷ 7

```
14.238...
7 | 99.67
-7
---
29
-28
---
16
-14
---
26
-21
---
50
-49
---
10
-7
---
3
```

So, quotient is approximately 14.238..., but we'll write up to 2 decimal places unless specified.

But since it's exact division, let’s do it properly.

Let’s divide:

```
99.67 ÷ 7
= 14.238571...
```

But usually for such problems, we round to two decimal places if needed.

But here, the question doesn't specify rounding. Let's do it step by step:

```
14.238...
7 | 99.670
-7
----
29
-28
----
16
-14
----
26
-21
----
50
-49
----
10
-7
----
30
-28
----
2
```

So, 14.238..., and continues.

But likely, they expect 14.24 (rounded to two decimals).

But let’s see what is expected.

Alternatively, maybe just show quotient.

But for accuracy:

Answer: 14.238... (or 14.24 rounded)

But since the original number has two decimals, we might keep two decimals.

Wait — 99.67 ÷ 7 = ?

Let me calculate:

7 × 14 = 98
99.67 − 98 = 1.67
1.67 ÷ 7 = 0.23857...

So total: 14.23857...

So, 14.24 (rounded to nearest hundredth)

Answer: 14.24

#### b) 4 ) 89.76

89.76 ÷ 4

```
22.44
4 | 89.76
-8
---
9
-8
---
17
-16
---
16
-16
---
0
```

So, 22.44

Answer: 22.44

#### c) 9 ) 60.57

60.57 ÷ 9

```
6.73
9 | 60.57
-54
----
65
-63
----
27
-27
----
0
```

So, 6.73

Answer: 6.73

---

Final Answers:



#### Add
a) 62.52
b) 276.76
c) 158.89

#### Subtract
a) 15.51
b) 16.092
c) 1.94

#### Multiply
a) 80.64
b) 6,548.5592
c) 12,907.44

#### Divide
a) 14.24
b) 22.44
c) 6.73

---

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Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing decimals worksheet.
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