Identify the most specific set to which each of the following numbers belongs:(5 points)

Question

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0
47−−√
-9
0.121212...
144−−−√

Irrational Numbers
Integer
Natural Number
Rational Number
Whole Number

Answer 1

Let's analyze each number and identify the most specific set to which it belongs:

1. 0:

   • It is a whole number and also an integer.
   • Most Specific Set: Whole Number

2. √47:

   • This is an irrational number because 47 is not a perfect square.
   • Most Specific Set: Irrational Numbers

3. -9:

   • This is an integer but not a natural number, whole number, or rational number based on the restrictions applied.
   • Most Specific Set: Integer

4. 0.121212...:

   • This is a repeating decimal, which makes it a rational number.
   • Most Specific Set: Rational Number

5. √144:

   • This simplifies to 12, which is a natural number and also a whole number and an integer.
   • Most Specific Set: Natural Number

So here are the answers for each number in order:

1. Whole Number
2. Irrational Numbers
3. Integer
4. Rational Number
5. Natural Number