https://file.aiquickdraw.com/mathbot/file/1726108244449yyjjy6x2.jpg

This is an example of an area model for multiplication. The goal is to multiply 37 by 21 using this model by breaking down the numbers into parts.

Here’s how the model works:

1. The number 37 is split into 30 and 7.
2. The number 21 is split into 20 and 1.

Now, the area model has four parts:
- The top-left rectangle corresponds to multiplying 30 by 20.
- The top-right rectangle corresponds to multiplying 30 by 1.
- The bottom-left rectangle corresponds to multiplying 7 by 20.
- The bottom-right rectangle corresponds to multiplying 7 by 1.

We can fill in the missing values:
- **30 × 20 = 600** (top-left)
- **30 × 1 = 30** (top-right)
- **7 × 20 = 140** (bottom-left)
- **7 × 1 = 7** (bottom-right)

Now, sum these values to get the result:
\[
600 + 30 + 140 + 7 = 777
\]

So, \( 37 \times 21 = 777 \).

Let me know if you need more details or have any questions!

Here are 5 related questions to deepen your understanding:
1. Can you apply the same model to calculate \( 48 \times 36 \)?
2. What is the benefit of using an area model for multiplication?
3. How would the area model look for two numbers like 12 and 15?
4. What would happen if you only used two-digit numbers in the ones place?
5. Can you think of a similar method to break down multiplication with three-digit numbers?

**Tip**: Breaking numbers into parts helps visualize the multiplication process and can simplify mental calculations.

Enter the missing values in the area model for multiplication: 37 × 21

Learn how to solve 37 × 21 using an area model. The problem is broken down using the distributive property of multiplication, showing step-by-step calculations for each part.

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