Multiplying Decimals Worksheets - Math Monks - Free Printable

Problem: Solve the decimal multiplication problems from the worksheet.

#### Worksheet Problems:
1. \( 7.4 \times 2.3 \)
2. \( 2.88 \times 16.33 \)
3. \( 15 \times 0.73 \)
4. \( 0.89 \times 0.53 \)
5. \( 82 \times 0.86 \)
6. \( 0.133 \times 0.478 \)
7. \( 39.04 \times 6.86 \)
8. \( 22.29 \times 19.31 \)
9. \( 0.007 \times 1.7 \)

---

Solution:

#### Problem 1: \( 7.4 \times 2.3 \)

1. Ignore the decimals and multiply as whole numbers:
\[
74 \times 23 = 1698
\]
2. Count the total number of decimal places in the factors:
- \( 7.4 \) has 1 decimal place.
- \( 2.3 \) has 1 decimal place.
- Total: \( 1 + 1 = 2 \) decimal places.
3. Place the decimal point in the product:
\[
1698 \rightarrow 16.98
\]

Answer:
\[
\boxed{16.98}
\]

---

#### Problem 2: \( 2.88 \times 16.33 \)

1. Ignore the decimals and multiply as whole numbers:
\[
288 \times 1633 = 470784
\]
2. Count the total number of decimal places in the factors:
- \( 2.88 \) has 2 decimal places.
- \( 16.33 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.
3. Place the decimal point in the product:
\[
470784 \rightarrow 47.0784
\]

Answer:
\[
\boxed{47.0784}
\]

---

#### Problem 3: \( 15 \times 0.73 \)

1. Ignore the decimals and multiply as whole numbers:
\[
15 \times 73 = 1095
\]
2. Count the total number of decimal places in the factors:
- \( 15 \) has 0 decimal places.
- \( 0.73 \) has 2 decimal places.
- Total: \( 0 + 2 = 2 \) decimal places.
3. Place the decimal point in the product:
\[
1095 \rightarrow 10.95
\]

Answer:
\[
\boxed{10.95}
\]

---

#### Problem 4: \( 0.89 \times 0.53 \)

1. Ignore the decimals and multiply as whole numbers:
\[
89 \times 53 = 4717
\]
2. Count the total number of decimal places in the factors:
- \( 0.89 \) has 2 decimal places.
- \( 0.53 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.
3. Place the decimal point in the product:
\[
4717 \rightarrow 0.4717
\]

Answer:
\[
\boxed{0.4717}
\]

---

#### Problem 5: \( 82 \times 0.86 \)

1. Ignore the decimals and multiply as whole numbers:
\[
82 \times 86 = 7052
\]
2. Count the total number of decimal places in the factors:
- \( 82 \) has 0 decimal places.
- \( 0.86 \) has 2 decimal places.
- Total: \( 0 + 2 = 2 \) decimal places.
3. Place the decimal point in the product:
\[
7052 \rightarrow 70.52
\]

Answer:
\[
\boxed{70.52}
\]

---

#### Problem 6: \( 0.133 \times 0.478 \)

1. Ignore the decimals and multiply as whole numbers:
\[
133 \times 478 = 63674
\]
2. Count the total number of decimal places in the factors:
- \( 0.133 \) has 3 decimal places.
- \( 0.478 \) has 3 decimal places.
- Total: \( 3 + 3 = 6 \) decimal places.
3. Place the decimal point in the product:
\[
63674 \rightarrow 0.063674
\]

Answer:
\[
\boxed{0.063674}
\]

---

#### Problem 7: \( 39.04 \times 6.86 \)

1. Ignore the decimals and multiply as whole numbers:
\[
3904 \times 686 = 2680064
\]
2. Count the total number of decimal places in the factors:
- \( 39.04 \) has 2 decimal places.
- \( 6.86 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.
3. Place the decimal point in the product:
\[
2680064 \rightarrow 268.0064
\]

Answer:
\[
\boxed{268.0064}
\]

---

#### Problem 8: \( 22.29 \times 19.31 \)

1. Ignore the decimals and multiply as whole numbers:
\[
2229 \times 1931 = 4300699
\]
2. Count the total number of decimal places in the factors:
- \( 22.29 \) has 2 decimal places.
- \( 19.31 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.
3. Place the decimal point in the product:
\[
4300699 \rightarrow 430.0699
\]

Answer:
\[
\boxed{430.0699}
\]

---

#### Problem 9: \( 0.007 \times 1.7 \)

1. Ignore the decimals and multiply as whole numbers:
\[
7 \times 17 = 119
\]
2. Count the total number of decimal places in the factors:
- \( 0.007 \) has 3 decimal places.
- \( 1.7 \) has 1 decimal place.
- Total: \( 3 + 1 = 4 \) decimal places.
3. Place the decimal point in the product:
\[
119 \rightarrow 0.0119
\]

Answer:
\[
\boxed{0.0119}
\]

---

Final Answers:

1. \( \boxed{16.98} \)
2. \( \boxed{47.0784} \)
3. \( \boxed{10.95} \)
4. \( \boxed{0.4717} \)
5. \( \boxed{70.52} \)
6. \( \boxed{0.063674} \)
7. \( \boxed{268.0064} \)
8. \( \boxed{430.0699} \)
9. \( \boxed{0.0119} \)