These are decimal numbers, and dots above some of the digits make them recurring decimals. One dot means the digit under it repeats infinitely. In other words, it goes on forever (and ever and ever).

A rational number can be written exactly in the form \(\frac{a}{b}\), where 𝑎 and 𝑏 are integers, while an irrational number cannot.

WHILE experimenting with a system of counting by twelves, 1 suddenly I came upon a series of numbers that behaved in the most extraordinary way. Discovery followed discovery. One day the whole ...