Grade 5 Math Worksheets: Decimal multiplication (1-2 digits) | Worsheets library... - Free Printable

Problem: Multiplying Decimals (1 or 2 digits)

The task is to solve the multiplication problems involving decimals. Here are the steps to solve each problem, along with the solutions.

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#### Step-by-Step Solution:

1. 0.9 × 0.7
- Multiply as if they were whole numbers: \( 9 \times 7 = 63 \).
- Count the total number of decimal places in both numbers: 1 (from 0.9) + 1 (from 0.7) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.63 \).
- Answer: \( 0.63 \).

2. 0.4 × 0.03
- Multiply as if they were whole numbers: \( 4 \times 3 = 12 \).
- Count the total number of decimal places: 1 (from 0.4) + 2 (from 0.03) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.012 \).
- Answer: \( 0.012 \).

3. 0.2 × 0.5
- Multiply as if they were whole numbers: \( 2 \times 5 = 10 \).
- Count the total number of decimal places: 1 (from 0.2) + 1 (from 0.5) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.10 \) (which simplifies to \( 0.1 \)).
- Answer: \( 0.1 \).

4. 0.5 × 0.6
- Multiply as if they were whole numbers: \( 5 \times 6 = 30 \).
- Count the total number of decimal places: 1 (from 0.5) + 1 (from 0.6) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.30 \) (which simplifies to \( 0.3 \)).
- Answer: \( 0.3 \).

5. 1.0 × 0.05
- Multiply as if they were whole numbers: \( 10 \times 5 = 50 \).
- Count the total number of decimal places: 1 (from 1.0) + 2 (from 0.05) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.050 \) (which simplifies to \( 0.05 \)).
- Answer: \( 0.05 \).

6. 0.7 × 0.8
- Multiply as if they were whole numbers: \( 7 \times 8 = 56 \).
- Count the total number of decimal places: 1 (from 0.7) + 1 (from 0.8) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.56 \).
- Answer: \( 0.56 \).

7. 0.5 × 0.5
- Multiply as if they were whole numbers: \( 5 \times 5 = 25 \).
- Count the total number of decimal places: 1 (from 0.5) + 1 (from 0.5) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.25 \).
- Answer: \( 0.25 \).

8. 0.7 × 0.03
- Multiply as if they were whole numbers: \( 7 \times 3 = 21 \).
- Count the total number of decimal places: 1 (from 0.7) + 2 (from 0.03) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.021 \).
- Answer: \( 0.021 \).

9. 0.3 × 0.07
- Multiply as if they were whole numbers: \( 3 \times 7 = 21 \).
- Count the total number of decimal places: 1 (from 0.3) + 2 (from 0.07) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.021 \).
- Answer: \( 0.021 \).

10. 0.2 × 0.06
- Multiply as if they were whole numbers: \( 2 \times 6 = 12 \).
- Count the total number of decimal places: 1 (from 0.2) + 2 (from 0.06) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.012 \).
- Answer: \( 0.012 \).

11. 0.6 × 0.08
- Multiply as if they were whole numbers: \( 6 \times 8 = 48 \).
- Count the total number of decimal places: 1 (from 0.6) + 2 (from 0.08) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.048 \).
- Answer: \( 0.048 \).

12. 0.8 × 0.1
- Multiply as if they were whole numbers: \( 8 \times 1 = 8 \).
- Count the total number of decimal places: 1 (from 0.8) + 1 (from 0.1) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.08 \).
- Answer: \( 0.08 \).

13. 0.2 × 0.10
- Multiply as if they were whole numbers: \( 2 \times 10 = 20 \).
- Count the total number of decimal places: 1 (from 0.2) + 2 (from 0.10) = 3.
- Place the decimal point so that there are 3 decimal places in the result: \( 0.020 \) (which simplifies to \( 0.02 \)).
- Answer: \( 0.02 \).

14. 0.4 × 0.2
- Multiply as if they were whole numbers: \( 4 \times 2 = 8 \).
- Count the total number of decimal places: 1 (from 0.4) + 1 (from 0.2) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.08 \).
- Answer: \( 0.08 \).

15. 0.7 × 0.2
- Multiply as if they were whole numbers: \( 7 \times 2 = 14 \).
- Count the total number of decimal places: 1 (from 0.7) + 1 (from 0.2) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.14 \).
- Answer: \( 0.14 \).

16. 0.6 × 0.7
- Multiply as if they were whole numbers: \( 6 \times 7 = 42 \).
- Count the total number of decimal places: 1 (from 0.6) + 1 (from 0.7) = 2.
- Place the decimal point so that there are 2 decimal places in the result: \( 0.42 \).
- Answer: \( 0.42 \).

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Final Answers:

1. \( 0.63 \)
2. \( 0.012 \)
3. \( 0.1 \)
4. \( 0.3 \)
5. \( 0.05 \)
6. \( 0.56 \)
7. \( 0.25 \)
8. \( 0.021 \)
9. \( 0.021 \)
10. \( 0.012 \)
11. \( 0.048 \)
12. \( 0.08 \)
13. \( 0.02 \)
14. \( 0.08 \)
15. \( 0.14 \)
16. \( 0.42 \)

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 0.63 \\
2. & 0.012 \\
3. & 0.1 \\
4. & 0.3 \\
5. & 0.05 \\
6. & 0.56 \\
7. & 0.25 \\
8. & 0.021 \\
9. & 0.021 \\
10. & 0.012 \\
11. & 0.048 \\
12. & 0.08 \\
13. & 0.02 \\
14. & 0.08 \\
15. & 0.14 \\
16. & 0.42 \\
\end{array}
}
\]