https://file.aiquickdraw.com/mathbot/file/17280062505350mm61zyf.jpg

The model shown in the image is a partial product area model. It breaks down the multiplication of two numbers into smaller products based on their place values.

In the table:
- The 60 and 5 represent the components of one number (likely 65).
- The 50 and 9 represent the components of the other number (likely 59).

The smaller products are:
- \( 50 \times 60 = 3000 \)
- \( 50 \times 5 = 250 \)
- \( 9 \times 60 = 540 \)
- \( 9 \times 5 = 45 \)

Adding these together gives the total product:
\[
3000 + 250 + 540 + 45 = 3835
\]

Thus, the model represents \( 59 \times 65 \), and the correct expression is **59 × 65**.

Would you like a further breakdown of this model or its components?

Here are 5 questions to explore more on this topic:
1. How does the area model simplify large number multiplication?
2. Can this model be used for numbers with more digits?
3. How would the model look if the numbers were reversed (65 × 59)?
4. How is this method related to distributive property?
5. What other models can represent multiplication?

**Tip:** The area model is a great way to visually apply the distributive property of multiplication and break large calculations into manageable parts!

Understand how to break down large numbers like 59 and 65 using an area model and apply the distributive property to calculate 59 x 65. Suitable for Grades 4-6, this model simplifies the multiplication into smaller, more manageable parts.

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