Jackson drew an area model to find 17×13

Question

. Drag the partial product to each rectangle in
the area model.

An array is made of A (10 by 10), B (10 by 3), C (7 by 10), and D (7 by 3).

(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A Response area

B Response area

C Response area

D Response area

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Answer 1

To find the product of 17 × 13 using an area model, we can break down the numbers into their place values:

• 17 can be separated into 10 and 7 (10 + 7).
• 13 can be separated into 10 and 3 (10 + 3).

Now, we can create an area model with the following sections based on the combinations of these values:

• A (10 by 10): This rectangle represents 10 × 10, which equals 100.
• B (10 by 3): This rectangle represents 10 × 3, which equals 30.
• C (7 by 10): This rectangle represents 7 × 10, which equals 70.
• D (7 by 3): This rectangle represents 7 × 3, which equals 21.

Now, we can assign these partial products to the corresponding rectangles in the area model:

1. A Response area (10 by 10): 100
2. B Response area (10 by 3): 30
3. C Response area (7 by 10): 70
4. D Response area (7 by 3): 21

So, you would fill in the response areas as follows:

• A Response area: 100
• B Response area: 30
• C Response area: 70
• D Response area: 21

These represent the partial products of the multiplication, and when summed together, they total the final product:

100 + 30 + 70 + 21 = 221.

Therefore, 17 × 13 = 221.