Free multiplication worksheet templates to use and print - Free Printable

The task involves completing multiplication circles for the numbers 1 through 9. Each circle represents a multiplication table for a specific number, and the goal is to fill in the missing products.

Explanation of the Solution:

Each circle has a central number (e.g., \(1x\), \(2x\), etc.) that indicates the multiplication table being used. The outer ring contains the factors (numbers from 1 to 10), and the inner ring should contain the products of the central number multiplied by each factor.

#### Step-by-Step Solution:

1. Identify the Central Number: The central number tells you which multiplication table to use.
2. Multiply the Central Number by Each Factor: For each factor in the outer ring, multiply it by the central number to find the corresponding product.
3. Fill in the Inner Ring: Write the product in the corresponding section of the inner ring.

Detailed Solutions for Each Circle:

#### Circle 1: \(1x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(1 \times 1 = 1\), \(1 \times 2 = 2\), \(1 \times 3 = 3\), ..., \(1 \times 10 = 10\)
- Inner Ring: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

#### Circle 2: \(2x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(2 \times 1 = 2\), \(2 \times 2 = 4\), \(2 \times 3 = 6\), ..., \(2 \times 10 = 20\)
- Inner Ring: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

#### Circle 3: \(3x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(3 \times 1 = 3\), \(3 \times 2 = 6\), \(3 \times 3 = 9\), ..., \(3 \times 10 = 30\)
- Inner Ring: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

#### Circle 4: \(4x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(4 \times 1 = 4\), \(4 \times 2 = 8\), \(4 \times 3 = 12\), ..., \(4 \times 10 = 40\)
- Inner Ring: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

#### Circle 5: \(5x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(5 \times 1 = 5\), \(5 \times 2 = 10\), \(5 \times 3 = 15\), ..., \(5 \times 10 = 50\)
- Inner Ring: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

#### Circle 6: \(6x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(6 \times 1 = 6\), \(6 \times 2 = 12\), \(6 \times 3 = 18\), ..., \(6 \times 10 = 60\)
- Inner Ring: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

#### Circle 7: \(7x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(7 \times 1 = 7\), \(7 \times 2 = 14\), \(7 \times 3 = 21\), ..., \(7 \times 10 = 70\)
- Inner Ring: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

#### Circle 8: \(8x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(8 \times 1 = 8\), \(8 \times 2 = 16\), \(8 \times 3 = 24\), ..., \(8 \times 10 = 80\)
- Inner Ring: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

#### Circle 9: \(9x\)
- Factors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Products: \(9 \times 1 = 9\), \(9 \times 2 = 18\), \(9 \times 3 = 27\), ..., \(9 \times 10 = 90\)
- Inner Ring: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Final Answer:

The completed multiplication circles are as follows:

1. \(1x\): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
2. \(2x\): 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
3. \(3x\): 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
4. \(4x\): 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5. \(5x\): 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
6. \(6x\): 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
7. \(7x\): 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
8. \(8x\): 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
9. \(9x\): 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

\[
\boxed{
\begin{array}{ccc}
1x: & 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \\
2x: & 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 \\
3x: & 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 \\
4x: & 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 \\
5x: & 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 \\
6x: & 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 \\
7x: & 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 \\
8x: & 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 \\
9x: & 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 \\
\end{array}
}
\]