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The question is asking what type of number \( 2\pi \) is, with the available options being:

- **A. Whole number**
- **B. Integer**
- **C. Rational**
- **D. Irrational**

### Explanation:
1. **Whole Number:** Whole numbers are non-negative integers (0, 1, 2, 3, ...). Since \( 2\pi \) is not an integer, this option is incorrect.
2. **Integer:** Integers are whole numbers, both positive and negative, but \( 2\pi \) is not a whole number, nor an integer. So, this option is incorrect.
3. **Rational:** A rational number can be expressed as a ratio of two integers, like \( \frac{a}{b} \). However, \( \pi \) is irrational, and since multiplying an irrational number like \( \pi \) by any non-zero integer (in this case, 2) results in another irrational number, \( 2\pi \) is not rational. So, this option is incorrect.
4. **Irrational:** Irrational numbers cannot be expressed as the ratio of two integers. Since \( \pi \) is irrational, and multiplying by 2 still results in an irrational number, \( 2\pi \) is indeed irrational. Therefore, this option is correct.

### Correct Answer:
- **D. Irrational**

Would you like more details or have any other questions?

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Here are 5 related questions to expand your understanding:
1. What makes a number irrational?
2. Is the number \( 3\pi \) also irrational? Why or why not?
3. Can the sum of a rational and an irrational number be rational?
4. How do we know that \( \pi \) is irrational?
5. What is the difference between real numbers and irrational numbers?

**Tip:** Multiplying a rational number by an irrational number will always result in an irrational number.

Explore why the number 2π is considered irrational. Learn about the difference between rational and irrational numbers and understand the properties that make 2π an irrational number. Suitable for middle school students in Grades 7-9.

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