https://file.aiquickdraw.com/mathbot/file/1728004967976tnv3pjk5.jpg

The image represents the multiplication of \(13 \times 22\) using the area model (also known as the partial products method). The two numbers are broken down into their place values:

- \(13 = 10 + 3\)
- \(22 = 20 + 2\)

The area model splits the product into four smaller multiplications, corresponding to the place values:

1. \(10 \times 20 = 200\)
2. \(10 \times 2 = 20\)
3. \(3 \times 20 = 60\)
4. \(3 \times 2 = 6\)

Now, summing these partial products gives:

\[
200 + 20 + 60 + 6 = 286
\]

Therefore, the sum of the partial products is **286**.

Would you like more details or have any questions?

Here are five related questions to consider:
1. How does the area model help visualize multiplication?
2. Can this method be applied to numbers larger than two digits?
3. How does the distributive property relate to the area model?
4. What is the difference between this method and traditional long multiplication?
5. Can this method be useful for mental math strategies?

**Tip:** Breaking numbers into place values using the area model can help simplify more complex multiplications by focusing on smaller, manageable parts.

What's the sum of the partial products for 13 × 22?

Solve the multiplication problem 13 × 22 using the area model. Break down the numbers into place values and sum the partial products (200, 20, 60, 6) to get the final result. Ideal for students in Grades 3-5.

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