Multiply Decimals and 1-Digit Numbers: Vertical Multiplication ... - Free Printable

Problem Description:

The task is to multiply decimals by 1-digit numbers. The worksheet provides a series of multiplication problems, and the goal is to calculate the product for each.

Solution Approach:

To solve these problems, follow these steps:
1. Ignore the decimal point initially: Multiply the numbers as if they were whole numbers.
2. Count the total number of decimal places: In the factors being multiplied.
3. Place the decimal point in the product: Ensure the product has the same number of decimal places as the total from step 2.

Let's solve each problem step by step.

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Problem 1: \( 0.7 \times 7 \)

- Multiply \( 7 \times 7 = 49 \).
- There is 1 decimal place in \( 0.7 \).
- Place the decimal point: \( 4.9 \).

Answer: \( 4.9 \)

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Problem 2: \( 0.5 \times 2 \)

- Multiply \( 5 \times 2 = 10 \).
- There is 1 decimal place in \( 0.5 \).
- Place the decimal point: \( 1.0 \) or simply \( 1 \).

Answer: \( 1 \)

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Problem 3: \( 4.3 \times 4 \)

- Multiply \( 43 \times 4 = 172 \).
- There is 1 decimal place in \( 4.3 \).
- Place the decimal point: \( 17.2 \).

Answer: \( 17.2 \)

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Problem 4: \( 2.8 \times 5 \)

- Multiply \( 28 \times 5 = 140 \).
- There is 1 decimal place in \( 2.8 \).
- Place the decimal point: \( 14.0 \) or simply \( 14 \).

Answer: \( 14 \)

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Problem 5: \( 3.8 \times 6 \)

- Multiply \( 38 \times 6 = 228 \).
- There is 1 decimal place in \( 3.8 \).
- Place the decimal point: \( 22.8 \).

Answer: \( 22.8 \)

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Problem 6: \( 0.11 \times 2 \)

- Multiply \( 11 \times 2 = 22 \).
- There are 2 decimal places in \( 0.11 \).
- Place the decimal point: \( 0.22 \).

Answer: \( 0.22 \)

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Problem 7: \( 0.83 \times 5 \)

- Multiply \( 83 \times 5 = 415 \).
- There are 2 decimal places in \( 0.83 \).
- Place the decimal point: \( 4.15 \).

Answer: \( 4.15 \)

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Problem 8: \( 0.23 \times 8 \)

- Multiply \( 23 \times 8 = 184 \).
- There are 2 decimal places in \( 0.23 \).
- Place the decimal point: \( 1.84 \).

Answer: \( 1.84 \)

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Problem 9: \( 18.4 \times 5 \)

- Multiply \( 184 \times 5 = 920 \).
- There is 1 decimal place in \( 18.4 \).
- Place the decimal point: \( 92.0 \) or simply \( 92 \).

Answer: \( 92 \)

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Problem 10: \( 16.6 \times 9 \)

- Multiply \( 166 \times 9 = 1494 \).
- There is 1 decimal place in \( 16.6 \).
- Place the decimal point: \( 149.4 \).

Answer: \( 149.4 \)

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Problem 11: \( 73.7 \times 7 \)

- Multiply \( 737 \times 7 = 5159 \).
- There is 1 decimal place in \( 73.7 \).
- Place the decimal point: \( 515.9 \).

Answer: \( 515.9 \)

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Problem 12: \( 87.9 \times 2 \)

- Multiply \( 879 \times 2 = 1758 \).
- There is 1 decimal place in \( 87.9 \).
- Place the decimal point: \( 175.8 \).

Answer: \( 175.8 \)

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Problem 13: \( 1.63 \times 9 \)

- Multiply \( 163 \times 9 = 1467 \).
- There are 2 decimal places in \( 1.63 \).
- Place the decimal point: \( 14.67 \).

Answer: \( 14.67 \)

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Problem 14: \( 4.09 \times 7 \)

- Multiply \( 409 \times 7 = 2863 \).
- There are 2 decimal places in \( 4.09 \).
- Place the decimal point: \( 28.63 \).

Answer: \( 28.63 \)

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Problem 15: \( 3.21 \times 6 \)

- Multiply \( 321 \times 6 = 1926 \).
- There are 2 decimal places in \( 3.21 \).
- Place the decimal point: \( 19.26 \).

Answer: \( 19.26 \)

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Problem 16: \( 9.39 \times 5 \)

- Multiply \( 939 \times 5 = 4695 \).
- There are 2 decimal places in \( 9.39 \).
- Place the decimal point: \( 46.95 \).

Answer: \( 46.95 \)

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Final Answers:

\[
\boxed{
\begin{array}{cccc}
4.9 & 1 & 17.2 & 14 \\
22.8 & 0.22 & 4.15 & 1.84 \\
92 & 149.4 & 515.9 & 175.8 \\
14.67 & 28.63 & 19.26 & 46.95
\end{array}
}
\]