Question

true or false? justify your reasoning.
pi is an irrational number.

Explanation:

Identify the classification of Pi

Pi (\(\pi\)) is a mathematical constant representing the ratio of a circle's circumference to its diameter.

Analyze the decimal representation of Pi

The decimal expansion of \(\pi\) is \(3.14159\dots\), which continues infinitely without repeating.

Apply the definition of irrational numbers

Since \(\pi\) cannot be written as a simple fraction \(\frac{a}{b}\) where \(a\) and \(b\) are integers, it is classified as an irrational number.

Answer:

True