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

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

(i)4

(ii) 318

(iii) 1.44

(iv) 9/ 27

(v) -64

(vi) 100

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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.