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Numbers › Real numbers

The real numbers

Every number that has a place on the number line — including the irrationals like π and √2.

The number family

Each ring contains all the ones inside it.

Naturals
Whole numbers
Integers
Rationals
Reals

Naturals

1, 2, 3…

Whole numbers

0, 1, 2, 3…

Integers

…−2, −1, 0, 1, 2…

Rationals

any a/b (b ≠ 0)

Reals

every point on the line

What's outside the reals?

Everything you can write as a decimal — terminating, repeating, or forever-without-pattern — is real. Outside the reals are the imaginary numbers (involving i = √−1) and the complex numbers built from them.