1.

Identify the following as rational numbers. Give the decimal representation of rational numbers: (i)√4(ii) 3√18(iii) √1.44(iv) √9/ 27 (v) -√64 (vi) √100

Answer»

We have

4 = 2 =2/1

4 can be written in the form of p/q, so it is a rational number.

Its decimal representation is 2.0.

 We have, 

318 = 32 x 3 x 3 

= 3 x 32

= 92

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

92 is an irrational 

=> 3 18 is an irrational number.

We have,

1.44 = 144/100

=12/10

=1.2

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

We have,

9/27 = 3/27 = 3/3 x 3 x 3

=3/33

=1/3

Quotient of a rational and an irrational number is irrational numbers so 1/3  is an irrational number.

=>9/27 is an irrational number.

We have,

-64 = -8 x 8

= -8

= -8/1

- 64 can be expressed in the form of p/q ,so -64 is a rotational number.

 Its decimal representation is -8.0.

We have,

100=10

=10/1

100 can be expressed in the form of p/q, so 100 is a rational number. 

The decimal representation of 100 is 10.0. 



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