# Is the number 1 rational or irrational?

##### 2 Answers

Rational

#### Explanation:

A **rational number** is one that can be expressed as a fraction of integers. For instance, we can express the number 1 in an infinite number of ways:

In fact, any integer divided by itself will give us 1.

An **irrational number** is one that cannot be expressed as a fraction of two integers. For instance, the most famous of irrational numbers is

The number 1 can be classified as: a natural number, a whole number, a perfect square, a perfect cube, an integer.

This is only possible because

#### Explanation:

Once a number is irrational, that's it. It cannot be classified further.

However,

A rational number is defined as 'A number which can be written in the form

Some rational numbers become integers, some remain as fractions:

Integers:

Some integers are negative, the rest are whole numbers.

Whole numbers include

Whole numbers can be broken down into 0 and natural numbers.

Natural numbers include

Within the natural numbers you will also have different types of numbers, including odds, evens, primes, composites, perfect squares, perfect cubes, etc.

The number

This is only possible because it is a rational number.

Note that