Multiplying Decimals worksheet with 12 practice problems and a cartoon character illustration.

Let's solve each of the decimal multiplication problems step by step. I'll go through each one, showing the work and explaining the process.

---

Problem 1: 40.9 × 2.1

Step 1: Ignore decimals and multiply as whole numbers:
```
409
× 21
-----
409
+8180
-----
8589
```

Step 2: Count decimal places:
- 40.9 has 1 decimal place
- 2.1 has 1 decimal place
- Total = 2 decimal places

Answer: 85.89

---

Problem 2: 65.9 × 26.4

Multiply as whole numbers:
```
659
× 264
------
2636
39540
+131800
-------
174376
```

Decimal places:
- 65.9 → 1
- 26.4 → 1
- Total = 2

Answer: 1,743.76

---

Problem 3: 85.6 × 80.5

Multiply:
```
856
× 805
------
4280
0000
+684800
-------
689080
```

Decimal places:
- 85.6 → 1
- 80.5 → 1
- Total = 2

Answer: 6,890.80 → 6,890.8

---

Problem 4: 80.6 × 2.5

Multiply:
```
806
× 25
-----
4030
+16120
-----
20150
```

Decimal places:
- 80.6 → 1
- 2.5 → 1
- Total = 2

Answer: 201.50 → 201.5

---

Problem 5: 92.5 × 80.8

Multiply:
```
925
× 808
------
7400
0000
+740000
-------
740740
```

Decimal places:
- 92.5 → 1
- 80.8 → 1
- Total = 2

Answer: 7,407.40 → 7,407.4

---

Problem 6: 59.1 × 1.4

Multiply:
```
591
× 14
-----
2364
+ 5910
-----
8274
```

Decimal places:
- 59.1 → 1
- 1.4 → 1
- Total = 2

Answer: 82.74

---

Problem 7: 45.8 × 41.3

Multiply:
```
458
× 413
------
1374
4580
+183200
-------
189154
```

Decimal places:
- 45.8 → 1
- 41.3 → 1
- Total = 2

Answer: 1,891.54

---

Problem 8: 35.0 × 7.8

Note: 35.0 is same as 35.

Multiply:
```
350
× 78
-----
2800
+24500
-----
27300
```

Decimal places:
- 35.0 → 1
- 7.8 → 1
- Total = 2

Answer: 273.00 → 273.0

---

Problem 9: 84.9 × 2.3

Multiply:
```
849
× 23
-----
2547
+16980
-----
19527
```

Decimal places:
- 84.9 → 1
- 2.3 → 1
- Total = 2

Answer: 195.27

---

Problem 10: 33.5 × 4.4

Multiply:
```
335
× 44
-----
1340
+13400
-----
14740
```

Decimal places:
- 33.5 → 1
- 4.4 → 1
- Total = 2

Answer: 147.40 → 147.4

---

Problem 11: 25.4 × 15.5

Multiply:
```
254
× 155
------
1270
12700
+254000
-------
394700
```

Decimal places:
- 25.4 → 1
- 15.5 → 1
- Total = 2

Answer: 394.70 → 394.7

---

Problem 12: 86.1 × 86.7

Multiply:
```
861
× 867
------
5927
58680
+688800
-------
753429
```

Decimal places:
- 86.1 → 1
- 86.7 → 1
- Total = 2

Answer: 7,534.29

---

Problem 13: 52.2 × 34.3

Multiply:
```
522
× 343
------
1566
20880
+156600
-------
189048
```

Decimal places:
- 52.2 → 1
- 34.3 → 1
- Total = 2

Answer: 1,890.48

---

Problem 14: 62.5 × 35.3

Multiply:
```
625
× 353
------
1875
31250
+187500
-------
220625
```

Decimal places:
- 62.5 → 1
- 35.3 → 1
- Total = 2

Answer: 2,206.25

---

Problem 15: 20.1 × 6.0

Multiply:
```
201
× 60
-----
12060
```

Decimal places:
- 20.1 → 1
- 6.0 → 1
- Total = 2

Answer: 120.60 → 120.6

---

✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | 85.89 |
| 2 | 1,743.76 |
| 3 | 6,890.8 |
| 4 | 201.5 |
| 5 | 7,407.4 |
| 6 | 82.74 |
| 7 | 1,891.54 |
| 8 | 273.0 |
| 9 | 195.27 |
| 10 | 147.4 |
| 11 | 394.7 |
| 12 | 7,534.29 |
| 13 | 1,890.48 |
| 14 | 2,206.25 |
| 15 | 120.6 |

---

🔍 Explanation Summary:

To multiply decimals:
1. Multiply as if they were whole numbers.
2. Count the total number of decimal places in both factors.
3. Place the decimal point in the product so that it has the same number of decimal places.

This method ensures accuracy and aligns with standard math procedures (aligned with 5.NBT.7).

Let me know if you'd like a printable version or visual steps!