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Irrational Numbers and Properties of Irrational Numbers

Every real nu...

Question

Every real number is either __ or _ number.

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Solution

The real number includes all the rational as well as irrational numbers.

Hence, every real number is either rational or irrational number.

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

Q. Complete the following sentences:
(i) Every point on the number line corresponds to a .... number which many be either ... or ...
(ii) The decimal form of an irrational number is neither ... nor ...
(iii) The decimal representation of a rational number is either ... or ...
(iv) Every real number is either ... number or ... 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.

(c) Every real number is always rational.

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

Every rational number is

(a) a natural number (b) a whole number (c) an integer (d) a real number

Q. Every point on a number line represents
(a) a unique real number
(b) a natural number
(c) a rational number
(d) an irrational number

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