Which of the following numbers are rational? Also, identify the irrational numbers.
-1

Answer

To determine whether the number -1 is rational or irrational, we can follow these steps:

### Step-by-Step Solution:

1. **Definition of Rational Numbers**:
A rational number is any number that can be expressed in the form of \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).

2. **Expressing -1 in p/q Form**:
The number -1 can be expressed as:
\[ -1 = \frac{-1}{1} \]
Here, \( p = -1 \) and \( q = 1 \).

3. **Checking the Conditions**:
- Both \( p \) and \( q \) are integers.
- \( q \) is not zero (since \( q = 1 \)).
- The division \( \frac{-1}{1} \) results in -1, which is a finite decimal (specifically, -1.0).

4. **Conclusion**:
Since -1 can be expressed in the form \( \frac{p}{q} \) where both \( p \) and \( q \) are integers, and it can also be represented as a finite decimal, we conclude that:
\[ -1 \text{ is a rational number.} \]

5. **Identifying Irrational Numbers**:
In this case, we only have one number to evaluate, which is -1. Since we have determined that -1 is rational, there are no irrational numbers in this context.

### Final Answer:
- **Rational Numbers**: -1
- **Irrational Numbers**: None