Question

Identify the most specific set to which each of the following numbers belongs: (5 points) √47, 0 0.121212... -9 ,√144 Answer choices: Rational Number Natural Number :: Integer :: Irrational Number Whole Number

Answer 1

Let's classify each number:

1. **√47**: This is an irrational number because it cannot be expressed as a fraction of two integers.

2. **0**: This is a rational number because it can be expressed as 0/1. It is also an integer and a whole number.

3. **0.121212...**: This is a repeating decimal, which means it is a rational number. It can be expressed as a fraction: 12/99 = 4/33.

4. **-9**: This is an integer and also a rational number.

5. **√144**: This equals 12, which is a natural number, whole number, and also a rational number.

So, in summary:
- **√47**: Irrational Number
- **0**: Rational Number (also integer, whole number)
- **0.121212...**: Rational Number
- **-9**: Integer (also a rational number)
- **√144**: Natural Number (also a whole number, rational number)

Therefore, the most specific set to which each number belongs is:
- √47: Irrational Number
- 0: Whole Number (and Integer, Rational Number)
- 0.121212...: Rational Number
- -9: Integer (and Rational Number)
- √144: Natural Number (and Whole Number, Rational Number)