Determine which categories of the following numbers belong a number may be in more than one category

Let’s categorize the provided numbers based on the definitions of the categories:

1. **Neutral**: Typically refers to zero.
2. **Whole**: Non-negative integers (0, 1, 2, 3, ...).
3. **Integer**: All whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).
4. **Rational**: Numbers that can be expressed as a fraction of two integers (where the denominator is not zero).
5. **Irrational**: Numbers that cannot be expressed as a fraction of two integers.

Now let's categorize each number one by one:

1. **Zero (0)**:
- Neutral: Yes
- Whole: Yes
- Integer: Yes
- Rational: Yes (0 can be written as 0/1 or any fraction with 0 as the numerator)
- Irrational: No

2. **Two (2)**:
- Neutral: No
- Whole: Yes
- Integer: Yes
- Rational: Yes (2 can be written as 2/1)
- Irrational: No

3. **-2**:
- Neutral: No
- Whole: No
- Integer: Yes
- Rational: Yes (-2 can be written as -2/1)
- Irrational: No

4. **7 over 11 (7/11)**:
- Neutral: No
- Whole: No
- Integer: No
- Rational: Yes (it is a fraction of two integers)
- Irrational: No

5. **Checkmark thing (√3, assuming it's meant to represent "the square root of 3")**:
- Neutral: No
- Whole: No
- Integer: No
- Rational: No (it cannot be expressed as a fraction of two integers)
- Irrational: Yes (√3 cannot be expressed as a precise fraction)

6. **Three (3)**:
- Neutral: No
- Whole: Yes
- Integer: Yes
- Rational: Yes (3 can be written as 3/1)
- Irrational: No

### Summary of Categories:
- **Zero (0)**: Neutral, Whole, Integer, Rational
- **Two (2)**: Whole, Integer, Rational
- **-2**: Integer, Rational
- **7 over 11 (7/11)**: Rational
- **Checkmark thing (√3)**: Irrational
- **Three (3)**: Whole, Integer, Rational

### Final Categorized Numbers:
1. Zero: Neutral, Whole, Integer, Rational
2. Two: Whole, Integer, Rational
3. -2: Integer, Rational
4. 7/11: Rational
5. Checkmark thing (√3): Irrational
6. Three: Whole, Integer, Rational