Decimals Worksheets - Math Monks - Free Printable

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 and multiply:
672 × 12 = ?

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

Now count decimal places: 6.72 has 2 decimal places → move decimal 2 places left:

→ 80.64

✔ Answer: 80.64

#### b) 97.304 × 67.3

Step 1: Remove decimals → 97304 × 673

But easier to do it step-by-step with decimals.

We can break it down:

97.304 × 67.3 = ?

Use long multiplication:

```
97.304
× 67.3
--------
291912 ← 97.304 × 3
681128 ← 97.304 × 70 (shifted one place)
583824 ← 97.304 × 600 (shifted two places)
---------
6545.3432
```

Wait — better to do it properly.

Let’s compute:

97.304 × 67.3

We can write both as:

= (97304 / 1000) × (673 / 10) = (97304 × 673) / 10000

Now calculate:

97304 × 673

Break it down:

97304 × 600 = 58,382,400
97304 × 70 = 6,811,280
97304 × 3 = 291,912

Add them:

58,382,400
+ 6,811,280 = 65,193,680
+ 291,912 = 65,485,592

Now divide by 10,000 → 6548.5592

✔ Answer: 6548.5592

#### c) 13.79 × 9.36

Again, remove decimals:

1379 × 936

But let's use standard multiplication:

```
13.79
× 9.36
-------
8274 ← 13.79 × 6
4137 ← 13.79 × 30 (shifted)
12411 ← 13.79 × 900 (shifted)
-------
129.4244
```

Better method:

13.79 × 9.36

= (1379/100) × (936/100) = (1379 × 936) / 10000

Calculate 1379 × 936:

Break down:

1379 × 900 = 1,241,100
1379 × 30 = 41,370
1379 × 6 = 8,274

Add:

1,241,100
+ 41,370 = 1,282,470
+ 8,274 = 1,290,744

Now divide by 10,000 → 129.0744

✔ Answer: 129.0744

---

Divide

#### a) 7 ) 99.67

We want to divide 99.67 ÷ 7

Do long division:

```
14.238...
7 | 99.67
-7
---
29
-28
---
16
-14
---
27
-21
---
60
-56
---
40
-35
---
50
-49
---
1
```

So it goes on...

We can stop at a few decimal places.

So:

99.67 ÷ 7 ≈ 14.23857...

But since we're likely expecting rounding to 2 decimal places:

Check:

7 × 14.23 = 7 × 14 = 98, 7 × 0.23 = 1.61 → total = 99.61
99.67 - 99.61 = 0.06 → so add 0.00857...

So approx 14.24 if rounded to two decimal places.

But let's compute exactly:

```
14.23857...
7|99.67000
-7
----
29
-28
----
16
-14
----
27
-21
----
60
-56
----
40
-35
----
50
-49
----
10
- 7
----
30
-28
----
2
```

So it's 14.23857..., repeating?

Actually, 99.67 ÷ 7 = 14.2385714...

But for practical purposes, round to 2 decimal places: 14.24

✔ Answer: 14.24 (rounded)

#### b) 4 ) 89.76

Divide 89.76 ÷ 4

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

✔ Answer: 22.44

#### c) 9 ) 60.57

Divide 60.57 ÷ 9

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

✔ 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) 6548.5592
c) 129.0744

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

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