How come that pi (π) extends its decimal numbers infinitely?

Question

Is there any explanation behind this?

In: Mathematics

Answer 1

All irrational numbers, and most rational numbers have an infinite decimal expansion. The only ones that don’t are a small subset of rational numbers (like 1/2), and even those can be interpreted to have an infinite decimal expansion: all rational numbers have repeating decimals. For such rationals that repeating decimal happens to be equal to zero, since 1/2=0.5000000… we usually just don’t write those zeros down. 

 Basically, not a special property of pi.