Math worksheet for practicing multiplication of decimals up to three decimal places.

The task involves solving multiplication problems involving decimals, with the results rounded to up to three decimal places. Below is the step-by-step solution for each problem:

---

Problem 1:

$$
0.14 \times 3.7
$$
- Multiply as if they were whole numbers:
$$
14 \times 37 = 518
$$
- Count the total number of decimal places in the factors:
- \(0.14\) has 2 decimal places.
- \(3.7\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.14 \times 3.7 = 0.518
$$

Answer:
$$
\boxed{0.518}
$$

---

Problem 2:

$$
0.25 \times 0.91
$$
- Multiply as if they were whole numbers:
$$
25 \times 91 = 2275
$$
- Count the total number of decimal places in the factors:
- \(0.25\) has 2 decimal places.
- \(0.91\) has 2 decimal places.
- Total: \(2 + 2 = 4\) decimal places.
- Place the decimal point in the product:
$$
0.25 \times 0.91 = 0.2275
$$

Answer:
$$
\boxed{0.228} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 3:

$$
0.008 \times 3.4
$$
- Multiply as if they were whole numbers:
$$
8 \times 34 = 272
$$
- Count the total number of decimal places in the factors:
- \(0.008\) has 3 decimal places.
- \(3.4\) has 1 decimal place.
- Total: \(3 + 1 = 4\) decimal places.
- Place the decimal point in the product:
$$
0.008 \times 3.4 = 0.0272
$$

Answer:
$$
\boxed{0.027} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 4:

$$
0.035 \times 3.4
$$
- Multiply as if they were whole numbers:
$$
35 \times 34 = 1190
$$
- Count the total number of decimal places in the factors:
- \(0.035\) has 3 decimal places.
- \(3.4\) has 1 decimal place.
- Total: \(3 + 1 = 4\) decimal places.
- Place the decimal point in the product:
$$
0.035 \times 3.4 = 0.1190
$$

Answer:
$$
\boxed{0.119}
$$

---

Problem 5:

$$
0.77 \times 0.3
$$
- Multiply as if they were whole numbers:
$$
77 \times 3 = 231
$$
- Count the total number of decimal places in the factors:
- \(0.77\) has 2 decimal places.
- \(0.3\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.77 \times 0.3 = 0.231
$$

Answer:
$$
\boxed{0.231}
$$

---

Problem 6:

$$
6.9 \times 1.3
$$
- Multiply as if they were whole numbers:
$$
69 \times 13 = 897
$$
- Count the total number of decimal places in the factors:
- \(6.9\) has 1 decimal place.
- \(1.3\) has 1 decimal place.
- Total: \(1 + 1 = 2\) decimal places.
- Place the decimal point in the product:
$$
6.9 \times 1.3 = 8.97
$$

Answer:
$$
\boxed{8.970} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 7:

$$
0.005 \times 0.42
$$
- Multiply as if they were whole numbers:
$$
5 \times 42 = 210
$$
- Count the total number of decimal places in the factors:
- \(0.005\) has 3 decimal places.
- \(0.42\) has 2 decimal places.
- Total: \(3 + 2 = 5\) decimal places.
- Place the decimal point in the product:
$$
0.005 \times 0.42 = 0.00210
$$

Answer:
$$
\boxed{0.002}
$$

---

Problem 8:

$$
5.1 \times 2.5
$$
- Multiply as if they were whole numbers:
$$
51 \times 25 = 1275
$$
- Count the total number of decimal places in the factors:
- \(5.1\) has 1 decimal place.
- \(2.5\) has 1 decimal place.
- Total: \(1 + 1 = 2\) decimal places.
- Place the decimal point in the product:
$$
5.1 \times 2.5 = 12.75
$$

Answer:
$$
\boxed{12.750} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 9:

$$
6.8 \times 0.50
$$
- Multiply as if they were whole numbers:
$$
68 \times 50 = 3400
$$
- Count the total number of decimal places in the factors:
- \(6.8\) has 1 decimal place.
- \(0.50\) has 2 decimal places.
- Total: \(1 + 2 = 3\) decimal places.
- Place the decimal point in the product:
$$
6.8 \times 0.50 = 3.400
$$

Answer:
$$
\boxed{3.400}
$$

---

Problem 10:

$$
0.20 \times 0.9
$$
- Multiply as if they were whole numbers:
$$
20 \times 9 = 180
$$
- Count the total number of decimal places in the factors:
- \(0.20\) has 2 decimal places.
- \(0.9\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.20 \times 0.9 = 0.180
$$

Answer:
$$
\boxed{0.180}
$$

---

Problem 11:

$$
2.0 \times 2.0
$$
- Multiply as if they were whole numbers:
$$
2 \times 2 = 4
$$
- Count the total number of decimal places in the factors:
- \(2.0\) has 1 decimal place.
- \(2.0\) has 1 decimal place.
- Total: \(1 + 1 = 2\) decimal places.
- Place the decimal point in the product:
$$
2.0 \times 2.0 = 4.00
$$

Answer:
$$
\boxed{4.000} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 12:

$$
0.037 \times 0.10
$$
- Multiply as if they were whole numbers:
$$
37 \times 10 = 370
$$
- Count the total number of decimal places in the factors:
- \(0.037\) has 3 decimal places.
- \(0.10\) has 2 decimal places.
- Total: \(3 + 2 = 5\) decimal places.
- Place the decimal point in the product:
$$
0.037 \times 0.10 = 0.00370
$$

Answer:
$$
\boxed{0.004} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 13:

$$
0.095 \times 0.48
$$
- Multiply as if they were whole numbers:
$$
95 \times 48 = 4560
$$
- Count the total number of decimal places in the factors:
- \(0.095\) has 3 decimal places.
- \(0.48\) has 2 decimal places.
- Total: \(3 + 2 = 5\) decimal places.
- Place the decimal point in the product:
$$
0.095 \times 0.48 = 0.04560
$$

Answer:
$$
\boxed{0.046} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 14:

$$
0.58 \times 2.6
$$
- Multiply as if they were whole numbers:
$$
58 \times 26 = 1508
$$
- Count the total number of decimal places in the factors:
- \(0.58\) has 2 decimal places.
- \(2.6\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.58 \times 2.6 = 1.508
$$

Answer:
$$
\boxed{1.508}
$$

---

Problem 15:

$$
0.35 \times 6.9
$$
- Multiply as if they were whole numbers:
$$
35 \times 69 = 2415
$$
- Count the total number of decimal places in the factors:
- \(0.35\) has 2 decimal places.
- \(6.9\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.35 \times 6.9 = 2.415
$$

Answer:
$$
\boxed{2.415}
$$

---

Problem 16:

$$
0.66 \times 2.0
$$
- Multiply as if they were whole numbers:
$$
66 \times 2 = 132
$$
- Count the total number of decimal places in the factors:
- \(0.66\) has 2 decimal places.
- \(2.0\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.66 \times 2.0 = 1.320
$$

Answer:
$$
\boxed{1.320}
$$

---

Problem 17:

$$
0.79 \times 0.85
$$
- Multiply as if they were whole numbers:
$$
79 \times 85 = 6715
$$
- Count the total number of decimal places in the factors:
- \(0.79\) has 2 decimal places.
- \(0.85\) has 2 decimal places.
- Total: \(2 + 2 = 4\) decimal places.
- Place the decimal point in the product:
$$
0.79 \times 0.85 = 0.6715
$$

Answer:
$$
\boxed{0.672} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 18:

$$
0.095 \times 7.3
$$
- Multiply as if they were whole numbers:
$$
95 \times 73 = 6935
$$
- Count the total number of decimal places in the factors:
- \(0.095\) has 3 decimal places.
- \(7.3\) has 1 decimal place.
- Total: \(3 + 1 = 4\) decimal places.
- Place the decimal point in the product:
$$
0.095 \times 7.3 = 0.6935
$$

Answer:
$$
\boxed{0.694} \quad \text{(rounded to 3 decimal places)}
$$

---

Problem 19:

$$
0.76 \times 0.19
$$
- Multiply as if they were whole numbers:
$$
76 \times 19 = 1444
$$
- Count the total number of decimal places in the factors:
- \(0.76\) has 2 decimal places.
- \(0.19\) has 2 decimal places.
- Total: \(2 + 2 = 4\) decimal places.
- Place the decimal point in the product:
$$
0.76 \times 0.19 = 0.1444
$$

Answer:
$$
\boxed{0.144}
$$

---

Problem 20:

$$
0.28 \times 5.1
$$
- Multiply as if they were whole numbers:
$$
28 \times 51 = 1428
$$
- Count the total number of decimal places in the factors:
- \(0.28\) has 2 decimal places.
- \(5.1\) has 1 decimal place.
- Total: \(2 + 1 = 3\) decimal places.
- Place the decimal point in the product:
$$
0.28 \times 5.1 = 1.428
$$

Answer:
$$
\boxed{1.428}
$$

---

Final Answer:

$$
\boxed{
\begin{array}{ll}
1. & 0.518 \\
2. & 0.228 \\
3. & 0.027 \\
4. & 0.119 \\
5. & 0.231 \\
6. & 8.970 \\
7. & 0.002 \\
8. & 12.750 \\
9. & 3.400 \\
10. & 0.180 \\
11. & 4.000 \\
12. & 0.004 \\
13. & 0.046 \\
14. & 1.508 \\
15. & 2.415 \\
16. & 1.320 \\
17. & 0.672 \\
18. & 0.694 \\
19. & 0.144 \\
20. & 1.428 \\
\end{array}
}
$$