# Rational and Irrational Numbers

### Mr. Crosby's Class

## Rational Numbers

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.

Types of Rational Numbers:

Whole Numbers

Fractions

Terminating Decimals

Repeating Decimals

Mixed Numbers

- Perfect Squares Roots and Cube Roots

## Irrational Numbers

In mathematics, an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals.

Types of Irrational Numbers

Non-Terminating Decimals

Pi

Non-Perfect Square Roots and Cube Roots

A decimal that does not end

- i.e. 4.2354713…….