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Let's classify the given numbers according to the subsets in which each belongs. Here's the breakdown of the possible subsets:

- **A. Real, Irrational**: Numbers that are real but cannot be expressed as a fraction of two integers.
- **B. Real, Rational**: Numbers that are real and can be written as a ratio (fraction) of two integers.
- **C. Real, Rational, Integer**: Numbers that are rational and also belong to the set of integers.
- **D. Real, Rational, Integer, Whole**: Numbers that are integers and whole numbers (non-negative).
- **E. Real, Rational, Integer, Whole, Natural**: Numbers that belong to the natural numbers (positive integers) as well as whole numbers and integers.

Now, for the numbers provided:

1. **\( 3\pi \)**:
   - \( \pi \) is an irrational number, and multiplying by 3 will keep it irrational.
   - So, \( 3\pi \) belongs to set **A** (Real, Irrational).

2. **\( 0.615 \)**:
   - This is a decimal that can be expressed as a fraction (615/1000), so it's a rational number.
   - It belongs to set **B** (Real, Rational).

3. **\( 2 \)**:
   - This is an integer and a natural number.
   - It belongs to set **E** (Real, Rational, Integer, Whole, Natural).

4. **\( 0 \)**:
   - \( 0 \) is a whole number, an integer, and a rational number.
   - It belongs to set **D** (Real, Rational, Integer, Whole).

5. **\( 0.2 \)**:
   - This is a rational number because it can be expressed as a fraction (1/5).
   - It belongs to set **B** (Real, Rational).

6. **\( \sqrt{49} \)** (which is 7):
   - \( \sqrt{49} = 7 \), a natural number and an integer.
   - It belongs to set **E** (Real, Rational, Integer, Whole, Natural).

### Summary of Answers:
1. \( 3\pi \): **A**
2. \( 0.615 \): **B**
3. \( 2 \): **E**
4. \( 0 \): **D**
5. \( 0.2 \): **B**
6. \( \sqrt{49} \): **E**

Let me know if you want further clarification on any of these! Here are some related questions:

1. What are some examples of irrational numbers other than \( \pi \)?
2. Why is \( 0 \) considered a whole number but not a natural number?
3. How can we express any terminating decimal as a fraction?
4. What are the differences between integers, whole numbers, and natural numbers?
5. Why does \( \sqrt{49} \) belong to the natural number set?

**Tip**: Remember, every integer is a rational number, but not every rational number is an integer!

Classify each number by naming all the subsets in which it is an element.

This problem covers number classification across different subsets: real, rational, irrational, integer, whole, and natural numbers. Learn how to categorize numbers like 3π, 0.615, 2, and others, with a breakdown of each subset and their properties. Suitable for students in Grades 6-8.

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