Multiply and Divide Decimals worksheet - Free Printable

Sure! Let’s solve each problem step by step, showing all the work as requested. We’ll handle multiplication and division of decimals carefully, keeping track of decimal places and using standard algorithms.

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1. 6.208 ÷ 1.6

To divide decimals, we can eliminate the decimal in the divisor by multiplying both dividend and divisor by the same power of 10.

- Multiply both by 10:
→ 6.208 × 10 = 62.08
→ 1.6 × 10 = 16

Now divide: 62.08 ÷ 16

Let’s do long division:

```
3.88
_______
16|62.08
-48
----
14 0
-12 8
------
1 28
-1 28
------
0
```

✔ Answer: 3.88

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2. 8.3 × 7

Multiply as if they were whole numbers, then place the decimal.

- 83 × 7 = 581
- 8.3 has one decimal place → answer has one decimal place.

✔ Answer: 58.1

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3. 4.8 × 1.8

Multiply ignoring decimals first:

- 48 × 18 = ?

Break it down:
- 48 × 10 = 480
- 48 × 8 = 384
- Total = 480 + 384 = 864

Now count decimal places:
- 4.8 → 1 decimal
- 1.8 → 1 decimal
→ Total = 2 decimal places

So, 864 → becomes 8.64

✔ Answer: 8.64

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4. 0.56 ÷ 0.02

Eliminate decimals by multiplying numerator and denominator by 100:

- 0.56 × 100 = 56
- 0.02 × 100 = 2

Now: 56 ÷ 2 = 28

✔ Answer: 28

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5. 0.42 ÷ 0.07

Multiply both by 100:

- 0.42 × 100 = 42
- 0.07 × 100 = 7

42 ÷ 7 = 6

✔ Answer: 6

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6. 0.05 × 0.8

Multiply as whole numbers:

- 5 × 8 = 40

Count decimal places:
- 0.05 → 2 decimals
- 0.8 → 1 decimal
→ Total = 3 decimal places

So, 40 → becomes 0.040 → which is 0.04

✔ Answer: 0.04

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7. 5.246 ÷ 0.5

Multiply both by 10 to eliminate decimal in divisor:

- 5.246 × 10 = 52.46
- 0.5 × 10 = 5

Now divide: 52.46 ÷ 5

Long division:

```
10.492
________
5 |52.460
-5
---
24
-20
----
46
-45
----
10
-10
----
0
```

✔ Answer: 10.492

---

8. 7.124 ÷ 1.6

Multiply both by 10:

- 7.124 × 10 = 71.24
- 1.6 × 10 = 16

Divide: 71.24 ÷ 16

Long division:

```
4.4525
________
16|71.2400
-64
----
72
-64
----
84
-80
----
40
-32
----
80
-80
----
0
```

✔ Answer: 4.4525

---

9. 5.32 × 0.42

Multiply as whole numbers:

- 532 × 42

Break it down:

532 × 40 = 21,280
532 × 2 = 1,064
Total = 21,280 + 1,064 = 22,344

Count decimal places:
- 5.32 → 2 decimals
- 0.42 → 2 decimals
→ Total = 4 decimal places

So, 22,344 → becomes 2.2344

✔ Answer: 2.2344

---

10. 43.21 × 2.1

Multiply as whole numbers:

- 4321 × 21

Break it down:

4321 × 20 = 86,420
4321 × 1 = 4,321
Total = 86,420 + 4,321 = 90,741

Count decimal places:
- 43.21 → 2 decimals
- 2.1 → 1 decimal
→ Total = 3 decimal places

So, 90,741 → becomes 90.741

✔ Answer: 90.741

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## ✔ Final Answers:

1. 3.88
2. 58.1
3. 8.64
4. 28
5. 6
6. 0.04
7. 10.492
8. 4.4525
9. 2.2344
10. 90.741

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