The Real Number System

The Real Number System includes all the numbers that can be found on the number line, including rational and irrational numbers.

irrational, real

rational, real

irrational, real

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions.

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

Whole numbers are all natural numbers including zero (0, 1, 2, 3, ...).

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.