Grade 6 Math Worksheets Printable | free math worksheets 6th - Free Printable

Problem Description:

The image shows a multiplication worksheet with several decimal multiplication problems. The task is to solve each multiplication problem and provide the correct answers.

Solution Approach:

To solve each multiplication problem, we will multiply the given numbers step by step. Here's how we can approach each problem:

1. Identify the numbers to be multiplied.
2. Perform the multiplication as if they were whole numbers.
3. Count the total number of decimal places in both numbers being multiplied.
4. Place the decimal point in the product such that the total number of decimal places in the product matches the sum of decimal places in the original numbers.

Let's solve each problem one by one.

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Problem 1: \( 1.1 \times 0.7 \)

- Multiply as whole numbers: \( 11 \times 7 = 77 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 0.77 \).

Answer: \( 0.77 \)

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Problem 2: \( 4.2 \times 5.8 \)

- Multiply as whole numbers: \( 42 \times 58 = 2436 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 24.36 \).

Answer: \( 24.36 \)

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Problem 3: \( 9.5 \times 2.6 \)

- Multiply as whole numbers: \( 95 \times 26 = 2470 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 24.70 \) (or simply \( 24.7 \)).

Answer: \( 24.7 \)

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Problem 4: \( 7.3 \times 1.9 \)

- Multiply as whole numbers: \( 73 \times 19 = 1387 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 13.87 \).

Answer: \( 13.87 \)

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Problem 5: \( 9.4 \times 1.8 \)

- Multiply as whole numbers: \( 94 \times 18 = 1692 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 16.92 \).

Answer: \( 16.92 \)

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Problem 6: \( 7.3 \times 3.3 \)

- Multiply as whole numbers: \( 73 \times 33 = 2409 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 24.09 \).

Answer: \( 24.09 \)

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Problem 7: \( 3.7 \times 9.5 \)

- Multiply as whole numbers: \( 37 \times 95 = 3515 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 35.15 \).

Answer: \( 35.15 \)

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Problem 8: \( 2.2 \times 4.1 \)

- Multiply as whole numbers: \( 22 \times 41 = 902 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 9.02 \).

Answer: \( 9.02 \)

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Problem 9: \( 5.4 \times 3.9 \)

- Multiply as whole numbers: \( 54 \times 39 = 2106 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 21.06 \).

Answer: \( 21.06 \)

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Problem 10: \( 7.6 \times 7.1 \)

- Multiply as whole numbers: \( 76 \times 71 = 5396 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 53.96 \).

Answer: \( 53.96 \)

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Problem 11: \( 3.8 \times 0.6 \)

- Multiply as whole numbers: \( 38 \times 6 = 228 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 2.28 \).

Answer: \( 2.28 \)

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Problem 12: \( 5.7 \times 4.9 \)

- Multiply as whole numbers: \( 57 \times 49 = 2793 \).
- Total decimal places: \( 1 + 1 = 2 \).
- Place the decimal point: \( 27.93 \).

Answer: \( 27.93 \)

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Final Answers:

\[
\begin{aligned}
&1.1 \times 0.7 = 0.77 \\
&4.2 \times 5.8 = 24.36 \\
&9.5 \times 2.6 = 24.7 \\
&7.3 \times 1.9 = 13.87 \\
&9.4 \times 1.8 = 16.92 \\
&7.3 \times 3.3 = 24.09 \\
&3.7 \times 9.5 = 35.15 \\
&2.2 \times 4.1 = 9.02 \\
&5.4 \times 3.9 = 21.06 \\
&7.6 \times 7.1 = 53.96 \\
&3.8 \times 0.6 = 2.28 \\
&5.7 \times 4.9 = 27.93 \\
\end{aligned}
\]

\boxed{
\begin{array}{cccc}
0.77 & 24.36 & 24.7 & 13.87 \\
16.92 & 24.09 & 35.15 & 9.02 \\
21.06 & 53.96 & 2.28 & 27.93 \\
\end{array}
}