Grade 6 Math Worksheets: Multiplying decimals by 10, 100 or 1,000 ... - Free Printable

Problem Description:

The task involves solving a series of multiplication problems where decimals are multiplied by 10, 100, or 1,000. This is a fundamental exercise in understanding how the decimal point moves when multiplying by powers of 10.

Solution Approach:

When multiplying a decimal number by 10, 100, or 1,000:
- Multiplying by 10: Move the decimal point one place to the right.
- Multiplying by 100: Move the decimal point two places to the right.
- Multiplying by 1,000: Move the decimal point three places to the right.

If there are not enough digits to move the decimal point, zeros can be added to the left of the number as placeholders.

Step-by-Step Solutions:

#### Problem 1: \( 10 \times 28.8 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 28.8 \rightarrow 288 \)
- Answer: \( 288 \)

#### Problem 2: \( 100 \times 7.02 \)
- Multiply by 100: Move the decimal point two places to the right.
- \( 7.02 \rightarrow 702 \)
- Answer: \( 702 \)

#### Problem 3: \( 1,000 \times 0.712 \)
- Multiply by 1,000: Move the decimal point three places to the right.
- \( 0.712 \rightarrow 712 \)
- Answer: \( 712 \)

#### Problem 4: \( 10 \times 0.838 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 0.838 \rightarrow 8.38 \)
- Answer: \( 8.38 \)

#### Problem 5: \( 100 \times 49.8 \)
- Multiply by 100: Move the decimal point two places to the right.
- \( 49.8 \rightarrow 4980 \)
- Answer: \( 4980 \)

#### Problem 6: \( 100 \times 73.9 \)
- Multiply by 100: Move the decimal point two places to the right.
- \( 73.9 \rightarrow 7390 \)
- Answer: \( 7390 \)

#### Problem 7: \( 100 \times 38.6 \)
- Multiply by 100: Move the decimal point two places to the right.
- \( 38.6 \rightarrow 3860 \)
- Answer: \( 3860 \)

#### Problem 8: \( 1,000 \times 0.171 \)
- Multiply by 1,000: Move the decimal point three places to the right.
- \( 0.171 \rightarrow 171 \)
- Answer: \( 171 \)

#### Problem 9: \( 10 \times 6.86 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 6.86 \rightarrow 68.6 \)
- Answer: \( 68.6 \)

#### Problem 10: \( 1,000 \times 3.27 \)
- Multiply by 1,000: Move the decimal point three places to the right.
- \( 3.27 \rightarrow 3270 \)
- Answer: \( 3270 \)

#### Problem 11: \( 10 \times 0.242 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 0.242 \rightarrow 2.42 \)
- Answer: \( 2.42 \)

#### Problem 12: \( 10 \times 1.15 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 1.15 \rightarrow 11.5 \)
- Answer: \( 11.5 \)

#### Problem 13: \( 10 \times 90.4 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 90.4 \rightarrow 904 \)
- Answer: \( 904 \)

#### Problem 14: \( 100 \times 0.409 \)
- Multiply by 100: Move the decimal point two places to the right.
- \( 0.409 \rightarrow 40.9 \)
- Answer: \( 40.9 \)

#### Problem 15: \( 10 \times 6.64 \)
- Multiply by 10: Move the decimal point one place to the right.
- \( 6.64 \rightarrow 66.4 \)
- Answer: \( 66.4 \)

#### Problem 16: \( 100 \times 0.933 \)
- Multiply by 100: Move the decimal point two places to the right.
- \( 0.933 \rightarrow 93.3 \)
- Answer: \( 93.3 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 288 \\
2. & 702 \\
3. & 712 \\
4. & 8.38 \\
5. & 4980 \\
6. & 7390 \\
7. & 3860 \\
8. & 171 \\
9. & 68.6 \\
10. & 3270 \\
11. & 2.42 \\
12. & 11.5 \\
13. & 904 \\
14. & 40.9 \\
15. & 66.4 \\
16. & 93.3 \\
\end{array}
}
\]