Rational Numbers

Any number that can be written as a fraction with integers is called a Rational Number.

For example, are Rational Numbers.

If a number can be re-written as a fraction with integers, it is also a Rational Number.

All integers are Rational Numbers.

The number 7 is a Rational Number because it can be re-written as .

The number 0 is a Rational Number because it can be re-written as ,

All mixed numbers are Rational Numbers.

is a Rational Number because it can be re-written as .

All decimals which terminate and which have a repeating pattern after some point are also Rational Numbers.

The number 0.2 is a Rational Number because it can be re-written as .

The number 0.33333… is a Rational Number because it can be re-written as .

Some numbers can't be re-written as a fraction with integers, and so they are not Rational Numbers.  Some examples are pi and the square root of any prime number. These examples are called Irrational Numbers.