Question

The number 0.348353483534835….. is
a) a natural number
b) an integer
c) a rational number
d) an irrational number

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The number 0.348353483534835….. is

a) a natural number

b) an integer

c) a rational number

d) an irrational number

EVALUATION

Let x = 0.348353483534835….. - - - - (1)

Multiplying both sides by 100000 we get

100000x = 34835.348353483534835….. (2)

Equation 2 - Equation 1 gives

99999x = 34835

$\sf \implies \: x = \dfrac{34835}{99999}$

Thus we get

$\sf { 0.348353483534835….. = \dfrac{34835}{99999} }$

So the given number can be written in the form p/q where p , q are integers with q ≠ 0

Hence the number is a rational number

FINAL ANSWER

Hence the correct option is c) a rational number

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