https://file.aiquickdraw.com/mathbot/file/1728004860806fijx3jlt.jpg

The problem shown in the image is a visual representation of the multiplication problem \( 13 \times 22 \). This method breaks down the numbers using place value to make the multiplication easier. The diagram divides \( 13 \times 22 \) into smaller areas, each representing a partial product.

The given grid splits \( 13 \) into \( 10 + 3 \) and \( 22 \) into \( 20 + 2 \), and the product is represented as the sum of partial products:

- Top left: \( 10 \times 20 \)
- Top right (?): \( 10 \times 2 \)
- Bottom left: \( 3 \times 20 \)
- Bottom right: \( 3 \times 2 \)

The question mark in the diagram corresponds to the product of \( 10 \times 2 \), which is the partial product for that section. So the correct answer is \( 10 \times 2 \).

Would you like a further breakdown of the multiplication process or details on other parts of the diagram?

Here are 5 related questions to explore this further:
1. How can we simplify large multiplication problems using partial products?
2. What is the sum of all partial products in this problem?
3. How do partial products relate to the distributive property of multiplication?
4. How would the diagram change if the numbers were different?
5. Can you solve \( 15 \times 23 \) using a similar method?

**Tip:** Breaking down multiplication using place values can help simplify complex problems by converting them into smaller, more manageable pieces.

Which expression do you use to find this partial product?

Learn how to break down the multiplication of 13 × 22 using partial products. This method uses place value to simplify the multiplication into smaller steps, as shown in a grid diagram. Suitable for students in Grades 3-5.

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