Mark the following statements as True or False.
A. Every real number is an irrational number.

B. Some rational numbers can be irrational numbers.

Open in App

Solution

A. False
Real numbers are a set of both rational and irrational numbers. Hence, the first statement is false.
B. False
Rational numbers can never be irrational. Numbers are either rational or not. They cannot be both rational and irrational.

Suggest Corrections

Similar questions

Find whether the following statements are true or false :

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

(ii) $π$ is an irrational number.

(iii) Irrational numbers cannot be represented by points on the number line.

Which of the following is a true statement ?

(a) The sum of two irrational numbers is an irrational number.

(b) The product of two irrational numbers is an irrational number.

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

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.

State whether the following statements are true or false. Justify your answers.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form $\sqrt{m},$ where $^{'} m^{'}$ is a natural number.

(iii) Every real number is an irrational number.

Every real number is a rational number.
There are numbers that are not real.
Some rational numbers can be irrational numbers

Join BYJU'S Learning Program