Rational and irrational numbers are the two main categories of real numbers.

True

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False

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Solution

The correct option is A True
Real numbers can be classified into two main categories:
1)Rational numbers - Numbers which can be represented in the form of p/q, where p and q are integers and q cannot be zero.
2)Irrational Numbers - Numbers which cannot be represented in the form of p/q.

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Similar questions

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.

Every Real number is either a Rational number or Irrational Number.

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.

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