1) Every real no. is rational. True/False
2)Every real no. is either rational or an irrational. True/False
Real numbers include both rational and irrational numbers.
So answer to 1) is False and 2) is True
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.
(c) Every real number is always rational.
(d) Every real number is either rational or irrational.
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.
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 227 is rational.