Question
Is -5/6, pie/2 ,and 7/8 considered both irrational rational numbers
Answers
GPT-4o mini
Let's examine each number:
1. **-5/6**: This is a fraction where both the numerator (-5) and the denominator (6) are integers. Since it can be expressed as a ratio of two integers, -5/6 is a **rational number**.
2. **π/2**: The value of π (pi) is an irrational number; it cannot be expressed as a fraction of two integers. Therefore, π/2 is also **irrational**.
3. **7/8**: Similar to -5/6, this is a fraction where both the numerator (7) and the denominator (8) are integers. Thus, it is a **rational number**.
In summary:
- **-5/6**: Rational
- **π/2**: Irrational
- **7/8**: Rational
So, -5/6 and 7/8 are rational numbers, while π/2 is an irrational number. None of them are categorized as both rational and irrational.
1. **-5/6**: This is a fraction where both the numerator (-5) and the denominator (6) are integers. Since it can be expressed as a ratio of two integers, -5/6 is a **rational number**.
2. **π/2**: The value of π (pi) is an irrational number; it cannot be expressed as a fraction of two integers. Therefore, π/2 is also **irrational**.
3. **7/8**: Similar to -5/6, this is a fraction where both the numerator (7) and the denominator (8) are integers. Thus, it is a **rational number**.
In summary:
- **-5/6**: Rational
- **π/2**: Irrational
- **7/8**: Rational
So, -5/6 and 7/8 are rational numbers, while π/2 is an irrational number. None of them are categorized as both rational and irrational.