Question

Identify the most specific set to which each of the following numbers belongs:

0.121212...
√144
√47
-9
0

options:

Whole Number
Integer
Irrational Number
Rational Number
Natural Number

Answer 1

Let's identify the most specific set for each number:

1. **0.121212...**: This is a repeating decimal, which makes it a rational number. It can be expressed as the fraction 12/99 or 4/33. The most specific set it belongs to is **Rational Number**.

2. **√144**: The square root of 144 is 12, which is a whole number. Since it is a whole number, it also qualifies as an integer and a natural number. However, the most specific set is **Whole Number**.

3. **√47**: The square root of 47 is an irrational number because it cannot be expressed as a fraction of two integers. Therefore, the most specific set is **Irrational Number**.

4. **-9**: This is a negative whole number, which makes it an integer. It is not a natural number (since natural numbers are positive integers), but it is the most specific set is **Integer**.

5. **0**: The number 0 is considered a whole number and an integer. It is not a natural number, however, so the most specific set is **Whole Number**.

Summary:

- 0.121212... → Rational Number
- √144 → Whole Number
- √47 → Irrational Number
- -9 → Integer
- 0 → Whole Number