Question

Classify the following numbers as a rational irrational 30.232342345...

Answer 1

Answer:

irrational

because it's decimal expansion is non terminating non recurring

Answer 2

Answer:

30.232342345.... - Irrational number

0.3030030003.... - Rational number

Step-by-step explanation:

Given : Number 30.232342345.... and 0.3030030003....

To find : Classify the numbers as rational or irrational number?

Solution :

Rational number is defined as the number written in p/q form where, p and q are the integers and q is non-zero.

Rational numbers are terminating or non-terminating and repeating decimal.

Irrational number is defined as the number not written in p/q form where, p and q are the integers and q is non-zero.

Irrational numbers are non-terminating and non-repeating decimal.

Number 1 - 30.232342345

It is a non -terminating non-recurring decimal.

So, it is an irrational number.

Number 2 - 0.3030030003...

It is a non-terminating recurring decimal.

So, it is a rational number.