Q1 of 51 Page 1

Define an irrational number.

A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called an irrational number. For example,

1.01001000100001…


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1

Express each of the following decimals in the form :

(i) 0.39 (ii) 0.750 (iii) 2.15 (iv) 7.010 (v) 9.90 (vi) 1.0001

 2

Express each of the following decimals in the form :

(i) (ii) (iii) (iv) (v) (vi) (vii)

2

Explain, how irrational numbers differ from rational numbers?

 3

Examine, whether the following numbers are rational or irrational:

(i) (ii) (iii) 2+ (iv)


(v) (vi) (-2)2 (vii) (2-) (2+) (viii)


(ix) -2 (x) (xi) (xii) 0.3796 (xiii) 7.478478


(xiv) 1.101001000100001…..