Dizzy Over Decimals: Multiplying Decimals #3 | Interactive ... - Free Printable

Let's solve each of the decimal multiplication problems step by step. The key rule to remember is:

> The number of decimal places in the product (answer) should equal the total number of decimal places in the factors (numbers being multiplied).

We’ll go through each problem one at a time.

---

1. 9.06 × 1.2

- 9.06 has 2 decimal places
- 1.2 has 1 decimal place
- Total: 3 decimal places in the answer

Now multiply as if they were whole numbers:

```
906
× 12
-----
1812
9060
-----
10872
```

Now add the decimal point so that there are 3 decimal places:
→ 10.872

✔ Answer: 10.872

---

2. 4.53 × 0.25

- 4.53 → 2 decimal places
- 0.25 → 2 decimal places
- Total: 4 decimal places

Multiply:

```
453
× 25
-----
2265
9060
-----
11325
```

Add 4 decimal places: → 1.1325

✔ Answer: 1.1325

---

3. 38.3 × 2.1

- 38.3 → 1 decimal
- 2.1 → 1 decimal
- Total: 2 decimal places

Multiply:

```
383
× 21
-----
383
7660
-----
8043
```

Add 2 decimal places: → 80.43

✔ Answer: 80.43

---

4. 72.3 × 6.4

- 72.3 → 1 decimal
- 6.4 → 1 decimal
- Total: 2 decimal places

Multiply:

```
723
× 64
-----
2892
43380
-----
46272
```

Add 2 decimal places: → 462.72

✔ Answer: 462.72

---

5. 5.19 × 0.72

- 5.19 → 2 decimals
- 0.72 → 2 decimals
- Total: 4 decimals

Multiply:

```
519
× 72
-----
1038
36330
-----
37368
```

Add 4 decimals: → 3.7368

✔ Answer: 3.7368

---

6. 1.81 × 3.6

- 1.81 → 2 decimals
- 3.6 → 1 decimal
- Total: 3 decimals

Multiply:

```
181
× 36
-----
1086
5430
-----
6516
```

Add 3 decimals: → 6.516

✔ Answer: 6.516

---

7. 50.1 × 0.99

- 50.1 → 1 decimal
- 0.99 → 2 decimals
- Total: 3 decimals

Multiply:

```
501
× 99
-----
4509
45090
-----
49549
```

Add 3 decimals: → 49.549

✔ Answer: 49.549

---

8. 0.504 × 5.7

- 0.504 → 3 decimals
- 5.7 → 1 decimal
- Total: 4 decimals

Multiply:

```
504
× 57
-----
3528
25200
-----
28728
```

Add 4 decimals: → 2.8728

✔ Answer: 2.8728

---

9. 160.3 × 0.51

- 160.3 → 1 decimal
- 0.51 → 2 decimals
- Total: 3 decimals

Multiply:

```
1603
× 51
-----
1603
80150
-----
81753
```

Add 3 decimals: → 81.753

✔ Answer: 81.753

---

10. 41.52 × 3.8

- 41.52 → 2 decimals
- 3.8 → 1 decimal
- Total: 3 decimals

Multiply:

```
4152
× 38
-----
33216
124560
-----
157776
```

Add 3 decimals: → 157.776

✔ Answer: 157.776

---

11. 97.45 × 6.2

- 97.45 → 2 decimals
- 6.2 → 1 decimal
- Total: 3 decimals

Multiply:

```
9745
× 62
-----
19490
584700
-----
604190
```

Add 3 decimals: → 604.190 → simplify to 604.19

✔ Answer: 604.19

---

12. 142.7 × 0.61

- 142.7 → 1 decimal
- 0.61 → 2 decimals
- Total: 3 decimals

Multiply:

```
1427
× 61
-----
1427
85620
-----
87047
```

Add 3 decimals: → 87.047

✔ Answer: 87.047

---

13. 3.015 × 4.9

- 3.015 → 3 decimals
- 4.9 → 1 decimal
- Total: 4 decimals

Multiply:

```
3015
× 49
-----
15075
120600
-----
135675
```

Add 4 decimals: → 14.5675

✔ Answer: 14.5675

---

14. 51.48 × 7.4

- 51.48 → 2 decimals
- 7.4 → 1 decimal
- Total: 3 decimals

Multiply:

```
5148
× 74
-----
20592
359360
-----
380052
```

Add 3 decimals: → 380.052

✔ Answer: 380.052

---

15. 78.02 × 0.35

- 78.02 → 2 decimals
- 0.35 → 2 decimals
- Total: 4 decimals

Multiply:

```
7802
× 35
-----
39010
234060
-----
273070
```

Add 4 decimals: → 27.3070 → simplify to 27.307

✔ Answer: 27.307

---

16. 9.712 × 0.86

- 9.712 → 3 decimals
- 0.86 → 2 decimals
- Total: 5 decimals

Multiply:

```
9712
× 86
-----
58272
776960
-----
835232
```

Add 5 decimals: → 8.35232

✔ Answer: 8.35232

---

✔ Final Answers (Grid Format):

| Problem | Answer |
|--------|--------------|
| 1 | 10.872 |
| 2 | 1.1325 |
| 3 | 80.43 |
| 4 | 462.72 |
| 5 | 3.7368 |
| 6 | 6.516 |
| 7 | 49.549 |
| 8 | 2.8728 |
| 9 | 81.753 |
| 10 | 157.776 |
| 11 | 604.19 |
| 12 | 87.047 |
| 13 | 14.5675 |
| 14 | 380.052 |
| 15 | 27.307 |
| 16 | 8.35232 |

---

📝 Summary Tips:

- Always count the total number of decimal places in both numbers.
- Multiply as if they were whole numbers.
- Place the decimal point in the product so that it has the same number of decimal places as the sum of the two factors.

Let me know if you'd like this as a printable worksheet or need help checking any specific problem!