Decimal multiplication practice worksheet for multiplying decimals by powers of ten.

Problem Overview:

The task involves solving decimal multiplication problems where each decimal number is multiplied by powers of 10 (i.e., 10, 100, 1,000, and 10,000). The key concept here is understanding how multiplying by powers of 10 affects the placement of the decimal point.

General Rule:

- When multiplying a decimal number by 10, move the decimal point one place to the right.
- When multiplying by 100, move the decimal point two places to the right.
- When multiplying by 1,000, move the decimal point three places to the right.
- When multiplying by 10,000, move the decimal point four places to the right.

If there are not enough digits to move the decimal point, zeros are added as placeholders.

Solution:

#### First Column:
1. 1.5 × 10 =
- Move the decimal point one place to the right: 15.0
- Answer: 15

2. 1.5 × 100 =
- Move the decimal point two places to the right: 150.0
- Answer: 150

3. 1.5 × 1,000 =
- Move the decimal point three places to the right: 1,500.0
- Answer: 1,500

4. 1.5 × 10,000 =
- Move the decimal point four places to the right: 15,000.0
- Answer: 15,000

5. 8.1 × 1,000 =
- Move the decimal point three places to the right: 8,100.0
- Answer: 8,100

6. 6.77 × 100 =
- Move the decimal point two places to the right: 677.0
- Answer: 677

7. 7.2 × 10 =
- Move the decimal point one place to the right: 72.0
- Answer: 72

8. 9.06 × 1,000 =
- Move the decimal point three places to the right: 9,060.0
- Answer: 9,060

9. 4.651 × 100 =
- Move the decimal point two places to the right: 465.1
- Answer: 465.1

10. 3.9 × 1,000 =
- Move the decimal point three places to the right: 3,900.0
- Answer: 3,900

11. 11.91 × 1,000 =
- Move the decimal point three places to the right: 11,910.0
- Answer: 11,910

12. 5.8 × 10,000 =
- Move the decimal point four places to the right: 58,000.0
- Answer: 58,000

#### Second Column:
1. 3.02 × 10 =
- Move the decimal point one place to the right: 30.2
- Answer: 30.2

2. 3.02 × 100 =
- Move the decimal point two places to the right: 302.0
- Answer: 302

3. 3.02 × 1,000 =
- Move the decimal point three places to the right: 3,020.0
- Answer: 3,020

4. 3.02 × 10,000 =
- Move the decimal point four places to the right: 30,200.0
- Answer: 30,200

5. 4.023 × 1,000 =
- Move the decimal point three places to the right: 4,023.0
- Answer: 4,023

6. 0.343 × 100 =
- Move the decimal point two places to the right: 34.3
- Answer: 34.3

7. 6.4 × 1,000 =
- Move the decimal point three places to the right: 6,400.0
- Answer: 6,400

8. 6.2 × 100 =
- Move the decimal point two places to the right: 620.0
- Answer: 620

9. 7.264 × 10 =
- Move the decimal point one place to the right: 72.64
- Answer: 72.64

10. 12.6 × 10 =
- Move the decimal point one place to the right: 126.0
- Answer: 126

11. 6.3 × 10 =
- Move the decimal point one place to the right: 63.0
- Answer: 63

12. 5.002 × 10,000 =
- Move the decimal point four places to the right: 50,020.0
- Answer: 50,020

Final Answers:

\[
\boxed{
\begin{array}{ll}
1.5 \times 10 = 15 & 3.02 \times 10 = 30.2 \\
1.5 \times 100 = 150 & 3.02 \times 100 = 302 \\
1.5 \times 1,000 = 1,500 & 3.02 \times 1,000 = 3,020 \\
1.5 \times 10,000 = 15,000 & 3.02 \times 10,000 = 30,200 \\
8.1 \times 1,000 = 8,100 & 4.023 \times 1,000 = 4,023 \\
6.77 \times 100 = 677 & 0.343 \times 100 = 34.3 \\
7.2 \times 10 = 72 & 6.4 \times 1,000 = 6,400 \\
9.06 \times 1,000 = 9,060 & 6.2 \times 100 = 620 \\
4.651 \times 100 = 465.1 & 7.264 \times 10 = 72.64 \\
3.9 \times 1,000 = 3,900 & 12.6 \times 10 = 126 \\
11.91 \times 1,000 = 11,910 & 6.3 \times 10 = 63 \\
5.8 \times 10,000 = 58,000 & 5.002 \times 10,000 = 50,020 \\
\end{array}
}
\]