Question
which of the following desribe pi select all that apply real number natural number rational number irrational number
Answers
GPT-4o mini
The number π (pi) can be described as follows:
1. **Real number**: True. π is a real number because it exists on the number line.
2. **Natural number**: False. π is not a natural number, as natural numbers are positive integers (1, 2, 3, ...), and π is approximately 3.14159, which is not an integer.
3. **Rational number**: False. π is not a rational number because it cannot be expressed as a fraction of two integers.
4. **Irrational number**: True. π is an irrational number, meaning it cannot be expressed as a ratio of two integers, and its decimal representation is non-repeating and non-terminating.
So, the correct descriptions of π are: **real number** and **irrational number**.
1. **Real number**: True. π is a real number because it exists on the number line.
2. **Natural number**: False. π is not a natural number, as natural numbers are positive integers (1, 2, 3, ...), and π is approximately 3.14159, which is not an integer.
3. **Rational number**: False. π is not a rational number because it cannot be expressed as a fraction of two integers.
4. **Irrational number**: True. π is an irrational number, meaning it cannot be expressed as a ratio of two integers, and its decimal representation is non-repeating and non-terminating.
So, the correct descriptions of π are: **real number** and **irrational number**.