Problem Description:
The task involves solving multiplication problems using arrays. An array is a visual representation of multiplication where rows and columns are used to show the product of two numbers. The goal is to color squares in the grid to represent each multiplication problem and then write the answer.
Multiplication Problems:
1. \( 3 \times 3 \)
2. \( 2 \times 4 \)
3. \( 4 \times 5 \)
4. \( 3 \times 6 \)
5. \( 5 \times 2 \)
6. \( 6 \times 4 \)
Solution:
#### 1. \( 3 \times 3 \)
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Array Representation: Draw 3 rows and 3 columns.
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Coloring: Color 3 squares in each of the 3 rows.
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Total Squares Colored: \( 3 \times 3 = 9 \)
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Answer: \( 9 \)
#### 2. \( 2 \times 4 \)
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Array Representation: Draw 2 rows and 4 columns.
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Coloring: Color 4 squares in each of the 2 rows.
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Total Squares Colored: \( 2 \times 4 = 8 \)
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Answer: \( 8 \)
#### 3. \( 4 \times 5 \)
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Array Representation: Draw 4 rows and 5 columns.
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Coloring: Color 5 squares in each of the 4 rows.
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Total Squares Colored: \( 4 \times 5 = 20 \)
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Answer: \( 20 \)
#### 4. \( 3 \times 6 \)
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Array Representation: Draw 3 rows and 6 columns.
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Coloring: Color 6 squares in each of the 3 rows.
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Total Squares Colored: \( 3 \times 6 = 18 \)
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Answer: \( 18 \)
#### 5. \( 5 \times 2 \)
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Array Representation: Draw 5 rows and 2 columns.
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Coloring: Color 2 squares in each of the 5 rows.
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Total Squares Colored: \( 5 \times 2 = 10 \)
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Answer: \( 10 \)
#### 6. \( 6 \times 4 \)
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Array Representation: Draw 6 rows and 4 columns.
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Coloring: Color 4 squares in each of the 6 rows.
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Total Squares Colored: \( 6 \times 4 = 24 \)
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Answer: \( 24 \)
Final Answers:
\[
\begin{aligned}
1. & \quad 3 \times 3 = 9 \\
2. & \quad 2 \times 4 = 8 \\
3. & \quad 4 \times 5 = 20 \\
4. & \quad 3 \times 6 = 18 \\
5. & \quad 5 \times 2 = 10 \\
6. & \quad 6 \times 4 = 24 \\
\end{aligned}
\]
Explanation:
- Each multiplication problem is represented as an array with the first number indicating the number of rows and the second number indicating the number of columns.
- By coloring the appropriate number of squares, we can visually see the product of the two numbers.
- This method helps in understanding the concept of multiplication as repeated addition and provides a concrete way to solve multiplication problems.
Final Boxed Answer:
\[
\boxed{9, 8, 20, 18, 10, 24}
\]
Parent Tip: Review the logic above to help your child master the concept of printable multiplication array worksheets.