Rational and Irrational Numbers on the Line

Zero is technically a rational number and that completely changes how you look at the number

line. You can actually write zero as a fraction, like zero divided

by one, which satisfies the rule for rational numbers perfectly. But it gets weirder

because between any two simple integers, like three and four, there are literally infinite rational

numbers. You can keep slicing them forever and never run out. Then you have the

irrational ones like Pi or the square root of two that never end and never repeat.

The number system is basically just a massive collection of neat fractions and chaotic,

never-ending decimals all living on the same line.