https://file.aiquickdraw.com/mathbot/file/1727424044358ik0ijtkc.jpg

The image shows the multiplication problem \(32 \times 12\).

### Steps to solve this quickly:

1. Break down the multiplication using the distributive property:
   \[
   32 \times 12 = 32 \times (10 + 2)
   \]
2. Multiply \(32 \times 10 = 320\).
3. Multiply \(32 \times 2 = 64\).
4. Add the two results together:
   \[
   320 + 64 = 384
   \]

Thus, the solution is \(32 \times 12 = 384\).

Would you like a more detailed explanation or any additional questions?

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Here are some related questions:
1. What is the distributive property in mathematics?
2. How can you multiply numbers quickly using mental math techniques?
3. What are some other methods to multiply large numbers more efficiently?
4. How can you check if your multiplication answer is correct?
5. How does the place value system help in multiplication?

**Tip**: Practicing mental math with small numbers can make solving larger problems faster in the long run!

Learn how to solve the multiplication problem 32 × 12 using the distributive property. Break down the equation into simpler parts: 32 × (10 + 2). Multiply each term separately and add the results to get 384. Suitable for students in Grades 4-6.

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