Complete the following sentences:

(i) Every point on the number line corresponds to a ....... number which may be either be ...... or ....

(ii) The decimal form of an irrational number is neither ... nor ...

(iii) The decimal representation of a rational number is either ... number or ... number.

(iv) Every real number is either ... number or ... number

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Solution

(i) Every point on the number line corresponds to a real number which may be either rational or irrational.

(ii) The decimal form of an irrational number is neither terminating nor repeating.

(iii) The decimal representation of a rational number is either terminating number or non terminating, recurring number.

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

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

A non-terminating decimal number can either be rational 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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