State the following statement is True or False
A rational and irrational number between $0.0001$ and $0.001$ is $0.00011, 0.0001131331333...$

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
Any terminating decimal between 0.0001 and 0.001 will be a rational number like, $0.00011$
Any non-terminating and non-recurring decimal between 0.0001 and 0.001 will be an irrational number like $0.0001131331333...$

Suggest Corrections

Similar questions

3.623623

0.484848

4

4.909009000 .

Write the component statement of the following compound statement and check whether the compound statement is true or false.

$\sqrt{2}$ is a rational number or an irrational number'.

State, in each case, whether the given statement is true or false.

(i) The sum of two rational numbers is rational.

(ii) The sum of two irrational numbers is irrational.

(iii) The product of two rational numbers is rational.

(iv) The product of two irrational numbers is irrational.

(v) The sum of a rational number and an irrational number is irrational.

(vi) The product of a nonzero rational number and an irrational number is a rational number.

(vii) Every real number is rational.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

Join BYJU'S Learning Program