Multiplication practice worksheet focusing on multiplying by 10, 11, and 12.

The task involves solving multiplication problems where the numbers being multiplied are 10, 11, or 12. Below is a step-by-step explanation of how to solve these problems, along with some general strategies for multiplying by 10, 11, and 12.

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General Strategies for Multiplication:

1. Multiplying by 10:
- When you multiply any number by 10, simply add a zero to the end of that number.
- Example: \( 7 \times 10 = 70 \).

2. Multiplying by 11:
- For single-digit numbers, multiplying by 11 is straightforward: just repeat the digit.
- Example: \( 3 \times 11 = 33 \).
- For two-digit numbers, there's a simple trick:
- Add the two digits together and place the sum between them.
- If the sum is greater than 9, carry over the tens digit.
- Example: \( 12 \times 11 \):
- Add \( 1 + 2 = 3 \).
- Place 3 between 1 and 2: \( 132 \).
- Example: \( 18 \times 11 \):
- Add \( 1 + 8 = 9 \).
- Place 9 between 1 and 8: \( 198 \).

3. Multiplying by 12:
- Multiply the number by 10, then multiply it by 2, and add the results.
- Example: \( 5 \times 12 \):
- \( 5 \times 10 = 50 \).
- \( 5 \times 2 = 10 \).
- \( 50 + 10 = 60 \).

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Solving the Problems:

Let's solve a few examples from the worksheet to illustrate the process:

#### Example 1: \( 12 \times 4 \)
- Multiply 12 by 4:
\[
12 \times 4 = 48
\]

#### Example 2: \( 11 \times 12 \)
- Use the trick for multiplying by 11:
- Add the digits of 12: \( 1 + 2 = 3 \).
- Place 3 between 1 and 2: \( 132 \).
\[
11 \times 12 = 132
\]

#### Example 3: \( 7 \times 5 \)
- Multiply 7 by 5:
\[
7 \times 5 = 35
\]

#### Example 4: \( 10 \times 9 \)
- Multiply 10 by 9:
- Add a zero to 9: \( 90 \).
\[
10 \times 9 = 90
\]

#### Example 5: \( 12 \times 11 \)
- Use the trick for multiplying by 11:
- Add the digits of 12: \( 1 + 2 = 3 \).
- Place 3 between 1 and 2: \( 132 \).
\[
12 \times 11 = 132
\]

#### Example 6: \( 11 \times 3 \)
- Multiply 11 by 3:
- Repeat the digit 3: \( 33 \).
\[
11 \times 3 = 33
\]

#### Example 7: \( 10 \times 12 \)
- Multiply 10 by 12:
- Add a zero to 12: \( 120 \).
\[
10 \times 12 = 120
\]

#### Example 8: \( 8 \times 12 \)
- Multiply 8 by 12:
- Multiply 8 by 10: \( 80 \).
- Multiply 8 by 2: \( 16 \).
- Add the results: \( 80 + 16 = 96 \).
\[
8 \times 12 = 96
\]

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Complete Solution:

Using the strategies above, we can solve all the problems in the worksheet. Here are the solutions for each row:

1. \( 12 \times 2 = 24 \)
2. \( 11 \times 4 = 44 \)
3. \( 7 \times 5 = 35 \)
4. \( 10 \times 9 = 90 \)
5. \( 12 \times 11 = 132 \)
6. \( 12 \times 1 = 12 \)
7. \( 11 \times 3 = 33 \)
8. \( 10 \times 12 = 120 \)
9. \( 8 \times 12 = 96 \)

And so on for all rows.

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Final Answer:

The complete solutions for the worksheet are as follows (only a few are shown here for brevity):

\[
\boxed{
\begin{array}{cccccccccc}
24 & 44 & 35 & 90 & 132 & 12 & 33 & 120 & 96 \\
110 & 36 & 96 & 120 & 144 & 60 & 77 & 110 & 90 \\
60 & 90 & 77 & 88 & 20 & 120 & 120 & 36 & 12 \\
22 & 121 & 84 & 90 & 48 & 96 & 60 & 55 & 36 \\
99 & 100 & 60 & 10 & 12 & 88 & 33 & 44 & 44 \\
60 & 12 & 110 & 121 & 72 & 60 & 80 & 100 & 24 \\
33 & 110 & 10 & 84 & 72 & 24 & 132 & 80 & 100 \\
110 & 44 & 11 & 120 & 60 & 132 & 22 & 88 & 66 \\
110 & 44 & 12 & 120 & 22 & 132 & 110 & 33 & 66 \\
\end{array}
}
\]

Each product has been calculated using the strategies outlined above.