Decide whether the real number 0.120 1200 12000 120000.... is rational or not. If rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q?

Open in App

Solution

0.120 1200 12000 120000....

Since, the decimal expansion is neither terminating nor non-terminating repeating, therefore, the given real number is not rational.

Suggest Corrections

Similar questions

Decide whether the real number with decimal expansion as $125. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 987654321$ is rational or not. If rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q? :

Following real number has decimal expansion as given below. Decide whether rational, or not. If rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q? 43.123456789

Question 3 (ii)
Is 0.120120012000120000... rational or not. If it is rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q?

Decide whether 52.123456789 is a rational number or not. If rational (in the form $\frac{p}{q}$ ), what can you say about the prime factors of q?

Question 3 (ii)
Is 0.120120012000120000... rational or not. If it is rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q?

Join BYJU'S Learning Program

Decide whether the real number 0.120 1200 12000 120000.... is rational or not. If rational, and of the form pq, what can you say about the prime factors of q?

0.120 1200 12000 120000.... Since, the decimal expansion is neither terminating nor non-terminating repeating, therefore, the given real number is not rational.

Decide whether the real number 0.120 1200 12000 120000.... is rational or not. If rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q?

0.120 1200 12000 120000....

Since, the decimal expansion is neither terminating nor non-terminating repeating, therefore, the given real number is not rational.