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Use this worksheet to practice multiplying decimals with up to two decimal places.

Decimals multiplication math worksheet with 12 vertical problems for students to solve.

Decimals multiplication math worksheet with 12 vertical problems for students to solve.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying Decimals | Multiplication with Decimals Worksheets

Problem: Solve the decimal multiplication problems and show your work.



#### Step-by-Step Solutions:

---

Problem 1: \( 164.00 \times 4.73 \)



1. Ignore the decimals and multiply as whole numbers:
\[
164 \times 473 = 77,592
\]

2. Count the total number of decimal places in the factors:
- \( 164.00 \) has 2 decimal places.
- \( 4.73 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
77,592 \rightarrow 775.92
\]

Answer:
\[
\boxed{775.92}
\]

---

Problem 2: \( 655.00 \times 1.53 \)



1. Ignore the decimals and multiply as whole numbers:
\[
655 \times 153 = 100,015
\]

2. Count the total number of decimal places in the factors:
- \( 655.00 \) has 2 decimal places.
- \( 1.53 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
100,015 \rightarrow 1,000.15
\]

Answer:
\[
\boxed{1000.15}
\]

---

Problem 3: \( 360.00 \times 1.55 \)



1. Ignore the decimals and multiply as whole numbers:
\[
360 \times 155 = 55,800
\]

2. Count the total number of decimal places in the factors:
- \( 360.00 \) has 2 decimal places.
- \( 1.55 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
55,800 \rightarrow 558.00
\]

Answer:
\[
\boxed{558.00}
\]

---

Problem 4: \( 62.20 \times 55.10 \)



1. Ignore the decimals and multiply as whole numbers:
\[
622 \times 551 = 34,3322
\]

2. Count the total number of decimal places in the factors:
- \( 62.20 \) has 2 decimal places.
- \( 55.10 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
34,3322 \rightarrow 3,433.22
\]

Answer:
\[
\boxed{3433.22}
\]

---

Problem 5: \( 9.37 \times 318.00 \)



1. Ignore the decimals and multiply as whole numbers:
\[
937 \times 318 = 297,666
\]

2. Count the total number of decimal places in the factors:
- \( 9.37 \) has 2 decimal places.
- \( 318.00 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
297,666 \rightarrow 2,976.66
\]

Answer:
\[
\boxed{2976.66}
\]

---

Problem 6: \( 239.00 \times 9.91 \)



1. Ignore the decimals and multiply as whole numbers:
\[
239 \times 991 = 236,849
\]

2. Count the total number of decimal places in the factors:
- \( 239.00 \) has 2 decimal places.
- \( 9.91 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
236,849 \rightarrow 2,368.49
\]

Answer:
\[
\boxed{2368.49}
\]

---

Problem 7: \( 7.28 \times 157.00 \)



1. Ignore the decimals and multiply as whole numbers:
\[
728 \times 157 = 114,376
\]

2. Count the total number of decimal places in the factors:
- \( 7.28 \) has 2 decimal places.
- \( 157.00 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
114,376 \rightarrow 1,143.76
\]

Answer:
\[
\boxed{1143.76}
\]

---

Problem 8: \( 73.40 \times 80.80 \)



1. Ignore the decimals and multiply as whole numbers:
\[
734 \times 808 = 592,912
\]

2. Count the total number of decimal places in the factors:
- \( 73.40 \) has 2 decimal places.
- \( 80.80 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
592,912 \rightarrow 5,929.12
\]

Answer:
\[
\boxed{5929.12}
\]

---

Problem 9: \( 173.00 \times 6.45 \)



1. Ignore the decimals and multiply as whole numbers:
\[
173 \times 645 = 111,985
\]

2. Count the total number of decimal places in the factors:
- \( 173.00 \) has 2 decimal places.
- \( 6.45 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
111,985 \rightarrow 1,119.85
\]

Answer:
\[
\boxed{1119.85}
\]

---

Problem 10: \( 138.00 \times 8.13 \)



1. Ignore the decimals and multiply as whole numbers:
\[
138 \times 813 = 112,254
\]

2. Count the total number of decimal places in the factors:
- \( 138.00 \) has 2 decimal places.
- \( 8.13 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
112,254 \rightarrow 1,122.54
\]

Answer:
\[
\boxed{1122.54}
\]

---

Problem 11: \( 410.00 \times 4.16 \)



1. Ignore the decimals and multiply as whole numbers:
\[
410 \times 416 = 170,560
\]

2. Count the total number of decimal places in the factors:
- \( 410.00 \) has 2 decimal places.
- \( 4.16 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
170,560 \rightarrow 1,705.60
\]

Answer:
\[
\boxed{1705.60}
\]

---

Problem 12: \( 78.40 \times 53.30 \)



1. Ignore the decimals and multiply as whole numbers:
\[
784 \times 533 = 418,232
\]

2. Count the total number of decimal places in the factors:
- \( 78.40 \) has 2 decimal places.
- \( 53.30 \) has 2 decimal places.
- Total: \( 2 + 2 = 4 \) decimal places.

3. Place the decimal point in the product:
\[
418,232 \rightarrow 4,182.32
\]

Answer:
\[
\boxed{4182.32}
\]

---

Final Answers:


\[
\boxed{
\begin{aligned}
1. & \ 775.92 \\
2. & \ 1000.15 \\
3. & \ 558.00 \\
4. & \ 3433.22 \\
5. & \ 2976.66 \\
6. & \ 2368.49 \\
7. & \ 1143.76 \\
8. & \ 5929.12 \\
9. & \ 1119.85 \\
10. & \ 1122.54 \\
11. & \ 1705.60 \\
12. & \ 4182.32 \\
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplication of decimals worksheet 6th grade.
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