Claim: Pi is an imaginary number.
Evidence: Being an irrational number , can not be expressed exactly as a fraction -LRB- equivalently , its decimal representation never ends and never settles into a permanent repeating pattern -RRB-.
In mathematics , the irrational numbers are all the real numbers which are not rational numbers , the latter being the numbers constructed from ratios -LRB- or fractions -RRB- of integers.