Question

Classify each number as rational or irrational. 3.31662479...

Answer 1

• Irrational

Explanation:

The given number is :

• 3.31662479...

The three dots at the end of the number indicates that it is non-terminating

Also you see that the digits do not repeat, hence it is also non-repeating

Definition of An Irrational Number

⇒ The decimal expansion of an irrational number is neither terminating nor recurring.

As it satisfies the criteria, the given number is irrational

Answer 2

3.31662479... is irrational

Explanation:

The number 3.31662479... is written in a decimal form:

It is a nonterminating decimal (look at the three dots at the end)

and a nonrepeating decimal (no repeating pattern)

So it is irrational.