Final answer:
Pi is an irrational number that cannot be expressed as a finite decimal or a fraction. It goes on infinitely without a repeating pattern.
Step-by-step explanation:
The term 'irrational' in the context of pi means that it cannot be expressed as a finite decimal or a fraction. It is a non-repeating and non-terminating decimal. In other words, pi goes on forever without a pattern.
To understand this concept, consider the calculation of the circumference of a circle. The ratio of the circumference to the diameter of any circle will always be pi, which is approximately 3.14. No matter how large or small the circle is, this ratio remains constant. However, since pi is an irrational number, it cannot be expressed exactly as a decimal or fraction, and it requires an infinite number of decimal places to represent its true value.
For example, if we use a calculator to compute pi, it will often round it to a finite decimal, such as 3.14. But this is only an approximation. The true value of pi extends infinitely and does not repeat.