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

Question

0 =neutral / whole / intriguer / rational / irrational
2= neutral / whole / intriguer / rational / irrational
-2= neutral / whole / intriguer / rational / irrational
7/ -11= neutral / whole / intriguer /rational / irrational
Square root three= neutral / whole / intriguer / irrational/ rational

Answer 1

Let's categorize the given numbers based on their properties.

1. 0:

   • Neutral: Yes
   • Whole: Yes
   • Intriguer: Yes
   • Rational: Yes (0 can be expressed as 0/1)
   • Irrational: No

2. 2:

   • Neutral: Yes
   • Whole: Yes
   • Intriguer: Yes
   • Rational: Yes (2 can be expressed as 2/1)
   • Irrational: No

3. -2:

   • Neutral: Yes
   • Whole: No
   • Intriguer: Yes
   • Rational: Yes (-2 can be expressed as -2/1)
   • Irrational: No

4. 7/-11:

   • Neutral: Yes (since it simplifies to a rational number)
   • Whole: No
   • Intriguer: Yes
   • Rational: Yes (7/-11 is a rational number)
   • Irrational: No

5. Square root of 3 (√3):

   • Neutral: Yes
   • Whole: No
   • Intriguer: Yes
   • Rational: No
   • Irrational: Yes (√3 cannot be expressed as a fraction of two integers)

Summary:

• 0: Neutral, Whole, Intriguer, Rational
• 2: Neutral, Whole, Intriguer, Rational
• -2: Neutral, Intriguer, Rational
• 7/-11: Neutral, Intriguer, Rational
• √3: Neutral, Intriguer, Irrational

Note: The term "Intriguer" is not a standard mathematical term; however, it appears to imply a classification based on the nature and interest relating to the numbers. Thus, I assumed all numbers would fit in this category. If "Intriguer" has a specific definition, please clarify for more precise classification.