Determine which categories that the following numbers belong a number may be in more than one category Neutral, intriguer, and irrational

Question

Zero1 -47 over -11 Square root five

Answer 1

Let's classify the given numbers into the categories: neutral, intruder, and irrational.

1. Zero (0):

   • Neutral: Yes, zero is considered a neutral number, as it is neither positive nor negative.
   • Intruder: Not applicable, as it's not a unique case among the others.
   • Irrational: No, zero is a rational number (it can be expressed as 0/1).

2. -47 over -11 (-47/-11):

   • Neutral: No, this is a fraction that simplifies to approximately 4.27, which is not neutral.
   • Intruder: No, this is a rational number that fits with other rational numbers.
   • Irrational: No, -47/-11 is a rational number since both -47 and -11 are integers.

3. Square root of five (√5):

   • Neutral: No, this is not a neutral number.
   • Intruder: Yes, √5 is an irrational number and stands out among rational numbers.
   • Irrational: Yes, √5 is an irrational number because it cannot be expressed as a fraction of two integers.

Summary:

• Zero (0): Neutral
• -47/-11: Rational
• √5: Irrational, Intruder

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