Multiplication of Decimals Worksheet - Worksheet Digital - Free Printable

The task involves multiplying decimals by whole numbers. Let's solve each problem step by step.

Problem 1: \( 2.04 \times 9 \)

1. Multiply as if they were whole numbers: \( 204 \times 9 = 1836 \).
2. Count the number of decimal places in the original numbers. Here, \( 2.04 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 18.36 \).

Answer: \( 18.36 \)

Problem 2: \( 5.21 \times 6 \)

1. Multiply as if they were whole numbers: \( 521 \times 6 = 3126 \).
2. Count the number of decimal places in the original numbers. Here, \( 5.21 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 31.26 \).

Answer: \( 31.26 \)

Problem 3: \( 9.42 \times 8 \)

1. Multiply as if they were whole numbers: \( 942 \times 8 = 7536 \).
2. Count the number of decimal places in the original numbers. Here, \( 9.42 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 75.36 \).

Answer: \( 75.36 \)

Problem 4: \( 2.53 \times 2 \)

1. Multiply as if they were whole numbers: \( 253 \times 2 = 506 \).
2. Count the number of decimal places in the original numbers. Here, \( 2.53 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 5.06 \).

Answer: \( 5.06 \)

Problem 5: \( 8.29 \times 5 \)

1. Multiply as if they were whole numbers: \( 829 \times 5 = 4145 \).
2. Count the number of decimal places in the original numbers. Here, \( 8.29 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 41.45 \).

Answer: \( 41.45 \)

Problem 6: \( 9.24 \times 3 \)

1. Multiply as if they were whole numbers: \( 924 \times 3 = 2772 \).
2. Count the number of decimal places in the original numbers. Here, \( 9.24 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 27.72 \).

Answer: \( 27.72 \)

Problem 7: \( 1.64 \times 6 \)

1. Multiply as if they were whole numbers: \( 164 \times 6 = 984 \).
2. Count the number of decimal places in the original numbers. Here, \( 1.64 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 9.84 \).

Answer: \( 9.84 \)

Problem 8: \( 2.48 \times 7 \)

1. Multiply as if they were whole numbers: \( 248 \times 7 = 1736 \).
2. Count the number of decimal places in the original numbers. Here, \( 2.48 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 17.36 \).

Answer: \( 17.36 \)

Problem 9: \( 8.39 \times 1 \)

1. Multiply as if they were whole numbers: \( 839 \times 1 = 839 \).
2. Count the number of decimal places in the original numbers. Here, \( 8.39 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 8.39 \).

Answer: \( 8.39 \)

Problem 10: \( 9.42 \times 8 \)

1. Multiply as if they were whole numbers: \( 942 \times 8 = 7536 \).
2. Count the number of decimal places in the original numbers. Here, \( 9.42 \) has 2 decimal places.
3. Place the decimal point in the result so that there are 2 decimal places: \( 75.36 \).

Answer: \( 75.36 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 18.36 \\
2. & 31.26 \\
3. & 75.36 \\
4. & 5.06 \\
5. & 41.45 \\
6. & 27.72 \\
7. & 9.84 \\
8. & 17.36 \\
9. & 8.39 \\
10. & 75.36 \\
\end{array}
}
\]