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Amalia's method for multiplying 500 × 20 is correct and follows a logical process. Let's break it down:

1. **Multiplying the non-zero digits**:  
   Amalia first multiplies the numbers without the zeros, 5 × 2, which equals 10.

2. **Counting the zeros**:  
   In 500, there are **two zeros**, and in 20, there is **one zero**. So, the total number of zeros in both numbers is **three**.

3. **Placing the zeros back**:  
   After calculating 5 × 2 = 10, Amalia places the three zeros at the end of 10, resulting in **10,000**.

Therefore, \(500 \times 20 = 10,000\), and her method is valid. By first multiplying the significant digits (5 and 2) and then adding the appropriate number of zeros, she arrives at the correct solution.

### Do you need any further clarifications or details?

Here are some related questions for further exploration:
1. What happens if you multiply 50 × 200? Does the same strategy work?
2. How would you multiply two numbers like 600 × 300 using this method?
3. Can this technique be applied to larger numbers like 5,000 × 2,000?
4. What is the result of multiplying 5,000 × 30 using Amalia’s method?
5. Does this strategy work for numbers with decimals, like 50.0 × 2.0?

**Tip**: When multiplying numbers that end in zeros, it can be quicker to ignore the zeros initially, multiply the core digits, and then append the zeros at the end.

To find 500 × 20, I multiply 5 × 2 and then place the total number of zeros in both factors at the end. Do you agree? Explain.

Learn how to multiply 500 × 20 by focusing on multiplying the core digits and adding zeros afterward. This approach teaches place value concepts and simplifies the process of multiplying numbers with zeros. Suitable for Grade 4-6 students.

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