π (pi) is an irrational number. This means that it cannot be expressed as a simple fraction of two integers. The decimal representation of π is non-terminating and non-repeating, which means the digits after the decimal point continue infinitely without forming any repeating pattern.

Moreover, π is also a transcendental number. This means that it is not the root of any non-zero polynomial equation with rational coefficients.

Summary:

• Irrational Number: Cannot be expressed as a fraction of two integers.
• Transcendental Number: Not a root of any non-zero polynomial equation with rational coefficients.

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Related Questions:

1. What are examples of other irrational numbers?
2. What is the difference between a rational and an irrational number?
3. How is π used in geometry?
4. What are transcendental numbers, and how do they differ from algebraic numbers?
5. Can π be approximated by a fraction?
6. What is the significance of π in mathematics?
7. How was the value of π first calculated?
8. What are some common misconceptions about π?

Tip: Remember, irrational numbers like π have non-repeating, non-terminating decimal expansions!