Question

Identify the most specific set to which each of the following numbers belongs:(5 points)
Put responses in the correct input to answer the question.
47−−√
144−−−√
0
0.121212...
-9

Answer 1

Let's categorize each number into the most specific set:

1. **√47**: This number is an **irrational number** (it cannot be expressed as a fraction and is not a perfect square).

2. **√144**: This is equal to 12, which is a **whole number** (and also a natural number since it is positive).

3. **0**: This number fits in the set of **integers** (and it is also a whole number, but "integers" is a more specific category).

4. **0.121212...**: This is a **rational number** (it can be expressed as a fraction, specifically 12/99 or 4/33).

5. **-9**: This number is an **integer** (and also a whole number if considering non-negative integers, but it's most specifically categorized as an integer).

So, the complete categorization would be:

1. √47: **Irrational**
2. √144: **Whole**
3. 0: **Integer**
4. 0.121212...: **Rational**
5. -9: **Integer**

Let me know if you need further assistance!