2. Draw an area model to represent \( 30 \times 60 \).

To represent \( 30 \times 60 \) using an area model, we can break down the numbers into their place values and then visualize the area as a rectangle. 1. **Break down the numbers**: - \( 30 \) can be broken down into \( 30 = 30 \) (which is \( 3 \times 10 \)). - \( 60 \) can be broken down into \( 60 = 60 \) (which is \( 6 \times 10 \)). 2. **Set up the area model**: - Draw a rectangle. - Label one side of the rectangle with \( 30 \) and the other side with \( 60 \). 3. **Divide the rectangle**: - Since \( 30 \) can be thought of as \( 30 = 3 \times 10 \) and \( 60 \) as \( 60 = 6 \times 10 \), we can divide the rectangle into smaller sections based on these values. - Create a grid with two rows and three columns: - The first row will represent \( 30 \) (which is \( 3 \times 10 \)). - The first column will represent \( 60 \) (which is \( 6 \times 10 \)). 4. **Label the sections**: - The rectangle can be divided into four smaller rectangles: - The top left rectangle will be \( 30 \times 60 \). - The top right rectangle will be \( 30 \times 0 \) (which is \( 0 \)). - The bottom left rectangle will be \( 0 \times 60 \) (which is \( 0 \)). - The bottom right rectangle will be \( 0 \times 0 \) (which is \( 0 \)). 5. **Calculate the area**: - The area of the rectangle is calculated as: \[ 30 \times 60 = 1800 \] In summary, the area model visually represents the multiplication of \( 30 \) and \( 60 \) as a rectangle with an area of \( 1800 \). If you were to draw this, it would look like a rectangle labeled with \( 30 \) on one side and \( 60 \) on the other, with the area calculated as \( 1800 \).