Q8 of 131 Page 1

Complete the following:
(i) Every point on the number line corresponds to a ………………. number which may be either ………………….. or ……………………
(ii) The decimal form of an irrational number is neither ……………… nor ……………………
(iii) The decimal representation of the rational number   is …………………
(iv) 0 is  …………….. number. [Hint: a rational /an irrational]

(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 recurring nor terminating.
(iii) The decimal representation of the rational number is 0.296
(iv) 0 is a rational number. 

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6 Find three rational numbers lying between 0 and 0.1. Find twenty rational numbers between 0  and 0.1. Give a method to determine any number of rational numbers between 0 and 0.1. 7 Find three rational numbers lying between 9 Give an example for each, if two irrational numbers, whose
       (i) difference is a rational number.
       (ii) difference is a irrational number.
       (iii) sum is a rational number.
       (iv) sum is an irrational number.
       (v) product is an irrational number,
       (vi) product is an irrational number.
       (vii) quotient is a rational number.
       (viii) quotient is an irrational number. 10 Which of the following rational numbers have the terminating decimal representation?
       (i) 3/5              (ii) 7/20                   (iii) 2/13
       (iv) 27/40        (v) 133/125            (vi) 23/7
       [Making use of the result that a rational number p/q where p and q have no common factor(s) will have a terminating representation if and only if the prime factors of q are 2's or 5's or both.]