Multiplication: Star Arrays | Worksheet - Free Printable

Problem Description:

The task involves solving multiplication problems by drawing star arrays. A star array is a visual representation of multiplication where the number of rows and columns corresponds to the factors in the multiplication problem, and the total number of stars represents the product.

Solution Approach:

1. Understand the Problem: Each multiplication problem (e.g., \(5 \times 5\)) needs to be represented as a grid of stars.
2. Draw the Arrays:
- For a problem like \(5 \times 5\), draw 5 rows and 5 columns of stars, resulting in a total of 25 stars.
- Similarly, for \(2 \times 6\), draw 2 rows and 6 columns of stars, resulting in a total of 12 stars.
3. Calculate the Product: Count the total number of stars in each array to find the product of the multiplication problem.
4. Fill in the Answers: Write the product in the corresponding box next to the multiplication problem.

Step-by-Step Solution:

#### 1. \(5 \times 5\)
- Draw 5 rows and 5 columns of stars.
- Total stars: \(5 \times 5 = 25\).
- Answer: 25.

#### 2. \(2 \times 6\)
- Draw 2 rows and 6 columns of stars.
- Total stars: \(2 \times 6 = 12\).
- Answer: 12.

#### 3. \(2 \times 5\)
- Draw 2 rows and 5 columns of stars.
- Total stars: \(2 \times 5 = 10\).
- Answer: 10.

#### 4. \(7 \times 4\)
- Draw 7 rows and 4 columns of stars.
- Total stars: \(7 \times 4 = 28\).
- Answer: 28.

#### 5. \(8 \times 4\)
- Draw 8 rows and 4 columns of stars.
- Total stars: \(8 \times 4 = 32\).
- Answer: 32.

#### 6. \(6 \times 4\)
- Draw 6 rows and 4 columns of stars.
- Total stars: \(6 \times 4 = 24\).
- Answer: 24.

#### 7. \(8 \times 3\)
- Draw 8 rows and 3 columns of stars.
- Total stars: \(8 \times 3 = 24\).
- Answer: 24.

#### 8. \(5 \times 3\)
- Draw 5 rows and 3 columns of stars.
- Total stars: \(5 \times 3 = 15\).
- Answer: 15.

#### 9. \(7 \times 2\)
- Draw 7 rows and 2 columns of stars.
- Total stars: \(7 \times 2 = 14\).
- Answer: 14.

#### 10. \(3 \times 3\)
- Draw 3 rows and 3 columns of stars.
- Total stars: \(3 \times 3 = 9\).
- Answer: 9.

#### 11. \(4 \times 3\)
- Draw 4 rows and 3 columns of stars.
- Total stars: \(4 \times 3 = 12\).
- Answer: 12.

#### 12. \(7 \times 5\)
- Draw 7 rows and 5 columns of stars.
- Total stars: \(7 \times 5 = 35\).
- Answer: 35.

Final Answer:

\[
\boxed{
\begin{array}{ccc}
5 \times 5 = 25 & 2 \times 6 = 12 & 2 \times 5 = 10 \\
7 \times 4 = 28 & 8 \times 4 = 32 & 6 \times 4 = 24 \\
8 \times 3 = 24 & 5 \times 3 = 15 & 7 \times 2 = 14 \\
3 \times 3 = 9 & 4 \times 3 = 12 & 7 \times 5 = 35 \\
\end{array}
}
\]