Question

Is 0.040040004... a rational number? Explain your reasoning.
Choose the correct answer below.

Answer 1

The quick answer: No.

Explanation:

(pinquancaro)

Given : Number 0.040040004.....

To find : Is the number is rational or irrational ?

Solution :

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

Rational number is terminating and repeating.

Irrational number is defined as number which cannot be written in form of p/q.

Irrational number is non-terminating and non-repeating.

The number given is 0.040040004..... is non-terminating and non-repeating.

Therefore, The number 0.040040004..... is an irrational number.