Irrational numbers

A number that no fraction can name exactly, like √2, the diagonal of a square with sides of 1, or π. It has its own point on the number line, but its decimals never end and never settle into a pattern that repeats.

Depth 1 · Foundation

You know that the diagonal of a square with sides of 1 is √2, that no fraction is exactly equal to it, and that numbers like this - irrational numbers - have decimals that never end and never repeat.

Depths of understanding

1
Foundation
You know that the diagonal of a square with sides of 1 is √2, that no fraction is exactly equal to it, and that numbers like this - irrational numbers - have decimals that never end and never repeat.
- Read itA Length No Fraction Can NameGeometry Level 1: Shapes and Space
Opens after
Rational numbersAn irrational number is one that is not a fraction, so it helps to know the fractions (rational numbers) first.Pythagoras' theoremPythagoras' theorem shows that the diagonal of a square with sides of 1 is √2, the first irrational number most people meet.Square roots√2 is a square root: the number that, times itself, makes 2.

Your path here

What's still between you and Irrational numbers, depth 1, in the order you can learn it.

Where it fits

Builds on

Rational numbers Pythagoras' theoremGeometry Square rootsArithmetic

This concept

Irrational numbersNumber Systems

Opens up

Real numbers

Builds onThis conceptOpens upRational numbers Pythagoras' theoremGeometry Square rootsArithmetic Irrational numbersNumber Systems Real numbers