Understanding Pi: What Type of Number Is Pi?
Explore the fascinating nature of Pi (π), an irrational and transcendental number that can't be expressed as a simple fraction.
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Pi (π) is an irrational number, meaning it cannot be expressed as a simple fraction. It has an infinite number of non-repeating decimals. Pi is also a transcendental number, indicating it is not a root of any non-zero polynomial equation with rational coefficients.
FAQs & Answers
- What does it mean for pi to be an irrational number? An irrational number cannot be expressed as a simple fraction, meaning its decimal representation is infinite and non-repeating.
- Why is pi considered a transcendental number? Pi is considered transcendental because it is not a solution of any non-zero polynomial equation with rational coefficients.
- What are some applications of pi in real life? Pi is used in various real-life applications including calculating the circumference and area of circles, and in various fields like engineering and physics.
- How is pi commonly approximated? Pi is commonly approximated as 3.14 or 22/7, although these values are only estimates of its actual value.