Which model represents the product 3×25?

Responses

A rectangle divided into 5 horizontal rows and 3 vertical columns. The top two rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 3. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.
Image with alt text: A rectangle divided into 5 horizontal rows and 3 vertical columns. The top two rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 3. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.

A rectangle divided into 5 horizontal rows and 5 vertical columns. The top two rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 5. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.
Image with alt text: A rectangle divided into 5 horizontal rows and 5 vertical columns. The top two rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 5. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.

A rectangle divided into 5 horizontal rows and 3 vertical columns. The top three rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 3. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.
Image with alt text: A rectangle divided into 5 horizontal rows and 3 vertical columns. The top three rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 3. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.

A rectangle divided into 3 horizontal rows and 5 vertical columns. The top two rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 5. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.
Image with alt text: A rectangle divided into 3 horizontal rows and 5 vertical columns. The top two rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 5. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.

1 answer

The product \(3 \times 25\) can be represented by a rectangle divided into 3 horizontal rows and 25 vertical columns, since the multiplicative structure indicates that there are 3 groups of 25.

However, from the options provided, none explicitly describe a rectangle divided into 3 rows and 25 columns. The closest option that is correctly structured for understanding is:

  • A rectangle divided into 5 horizontal rows and 3 vertical columns. The top three rows of every column is shaded. Above the rectangle, curly brackets extend the full length of the rectangle with the label 3. To the left of the rectangle, curly brackets extend the full width of the rectangle with the label 1.

Yet, the best representation for \(3 \times 25\) would actually be a rectangle with \(3\) rows and \(25\) columns, not just these options. If you meant to ask for how you'd generally depict \(3 \times 25\), then it would be these terms.

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