Rational and Irrational Numbers

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

An irrational number is a number that cannot be expressed as a simple fraction or quotient of two integers. Its decimal representation is non-repeating and non-terminating.

Irrational, because it cannot be expressed as a fraction of two integers.

Rational, because it equals 5, which can be expressed as 5/1.

Rational, because it can be expressed as -35/2.

Rational, because it is expressed as a fraction of two integers.

Rational, because it can be expressed as the fraction 14/99.

Examples include 1/2, -3, 0.75, and 4.

Examples include π (pi), e (Euler's number), and √2.

A number is rational if it can be written as a fraction a/b, where a and b are integers and b is not zero.