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:
672 × 12 = ?

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

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

8064 → 80.64

✔ Answer: 80.64

#### b) 97.304 × 67.3

Step 1: Ignore decimals → 97304 × 673

But easier to do it directly with decimals:

We can break it down or use long multiplication.

Let’s compute:

```
97.304
× 67.3
--------
291912 ← 97.304 × 3
681128 ← 97.304 × 70 (shifted one place)
+ 5838240 ← 97.304 × 600 (shifted two places)
-----------
6552.2312
```

Wait — better to align properly.

Actually, let's do it correctly:

Step-by-step multiplication:

We'll multiply 97.304 × 67.3

First, treat as whole numbers:
97304 × 673 = ?

But instead, let's do it step by step:

```
97.304
× 67.3
--------
291912 ← 97.304 × 3
681128 ← 97.304 × 70 = 97.304 × 7 × 10
5838240 ← 97.304 × 600 = 97.304 × 6 × 100
-----------
6552.2312
```

Wait — actually, we need to account for decimal places.

97.304 has 3 decimal places
67.3 has 1 decimal place
Total = 4 decimal places

So, calculate 97304 × 673:

Let’s compute:

```
97304
× 673
------
291912 ← 97304 × 3
681128 ← 97304 × 70 = 97304 × 7 × 10
5838240 ← 97304 × 600 = 97304 × 6 × 100
-----------
65,522,312
```

Now add them:

```
291,912
+ 681,128
+ 5,838,240
------------
6,811,280
```

Wait — that doesn’t match.

Let me do it properly:

Actually:

```
97304
× 673
-------
291912 ← 97304 × 3
681128 ← 97304 × 70 = 97304 × 7 × 10 = 681,128 × 10? Wait no.
```

Better way:

Break 673 = 600 + 70 + 3

So:

- 97304 × 3 = 291,912
- 97304 × 70 = 97304 × 7 × 10 = (681,128) × 10 = 6,811,280
- 97304 × 600 = 97304 × 6 × 100 = (583,824) × 100 = 58,382,400

Now sum:

```
291,912
+ 6,811,280
+ 58,382,400
------------
65,485,592
```

Now, since original numbers had 3 + 1 = 4 decimal places, divide by 10,000:

65,485,592 ÷ 10,000 = 6,548.5592

✔ Answer: 6,548.5592

#### c) 13.79 × 9.36

Again, multiply as whole numbers:

1379 × 936

Break it down:

13.79 has 2 decimals
9.36 has 2 decimals → total 4 decimals

Compute 1379 × 936

Let’s do:

```
1379
× 936
------
8274 ← 1379 × 6
41370 ← 1379 × 30
124110 ← 1379 × 900
--------
1,295,844
```

Now, 1,295,844 → move decimal 4 places left → 129.5844

✔ Answer: 129.5844

---

Divide

#### a) 7 ) 99.67

We are dividing 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, 99.67 ÷ 7 ≈ 14.238...

We can round to two decimal places if needed.

But since the dividend has two decimals, and divisor is whole number, keep precision.

Answer: 14.23857... → approximately 14.24 if rounded.

But let's write exact quotient:

From above: 14.23857...

But let's do it carefully:

```
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 continues: 14.23857142857... repeating?

But let's just write up to 2 or 3 decimal places.

Since the question asks to "solve", likely expects decimal answer.

✔ Answer: 14.24 (rounded to two decimal places)

But let's check:

7 × 14.24 = 7 × 14 = 98; 7 × 0.24 = 1.68 → total 99.68 → slightly over.

Try 14.23: 7 × 14.23 = 7 × 14 = 98; 7 × 0.23 = 1.61 → total 99.61

99.67 - 99.61 = 0.06 → so 14.23 + (0.06/7) ≈ 14.23 + 0.00857 ≈ 14.23857

So, 14.2386 (approximate)

But usually, we write:

✔ Answer: 14.24 (if rounding to nearest hundredth)

Or leave as 14.2386 if more precision.

But for this context, 14.24 is acceptable.

#### 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 Summary:

#### 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) 129.5844

#### Divide
a) 14.2386 ≈ 14.24
b) 22.44
c) 6.73

---

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