Q. 44.0( 23 Votes )

# Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:

(i) (ii) 3 (iii) (iv) (v) (vi)

Answer :

(i) = 2 =

can be written in the form of , so it is a rational number.

Its decimal expansion is 2.0

(ii) 3 = 3

= 3 * 3

= 9

Since, the product of a rational and an irrational is an irrational number.

Therefore, 9 is an irrational;

3 is an irrational number

(iii) We have,

=

Every terminating decimal is a rational number, so 1.2 is a rational number.

(iv) we have,

= =

=

Quotient of a rational and an irrational number is irrational number. Therefore, it is an irrational number.

(v) - = -

= - 8 = -8/1

AS it can be expressed in the form of , so it is a rational number.

(vi) = 10 =

Thus it can be expressed in the form of , so it is a rational number.

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