Question

The number \(π\) is a

• A. Natural number
• B. Rational number
• C. Integer
• D. Irrational number

Answer 1

The Correct Option is D

To solve the problem, we need to classify the nature of the number \( \pi \).

1. Understanding the Nature of \( \pi \):
The number \( \pi \) (pi) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. Its approximate value is 3.14159, and it continues infinitely without repeating.

2. Rational vs Irrational Numbers:
- A rational number can be expressed as a fraction \( \frac{p}{q} \) where \( p \) and \( q \) are integers and \( q \neq 0 \).
- An irrational number cannot be expressed as such a fraction. Its decimal representation is non-terminating and non-repeating.

3. Properties of \( \pi \):
Since \( \pi \) cannot be expressed as a ratio of two integers and has a non-terminating, non-repeating decimal expansion, it is classified as an irrational number.

Final Answer:
The number \( \pi \) is an irrational number.