Question

classify the following numbers as rational or irrational with justification. (i) 1.010010001.....

Answer 1

SOLUTION

TO DETERMINE

Classify the following numbers as rational or irrational with justification. (i) 1.010010001...

CONCEPT TO BE IMPLEMENTED

Rational Number

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with q ≠ 0

A number which is not rational number is called irrational number

EVALUATION

Here the given number is 1.010010001..

Since the number can not be written in the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with q ≠ 0

So the number 1.010010001.. is irrational number

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Answer 2

Answer:

$Rational Number</p><p></p><p>A Rational number is defined as a number of the form \displaystyle \sf{ \frac{p}{q} \: }qp</p><p></p><p>Where p & q are integers with q ≠ 0</p><p></p><p>A number which is not rational number is called irrational number</p><p></p><p>EVALUATION</p><p></p><p>Here the given number is 1.010010001..</p><p></p><p>Since the number can not be written in the form \displaystyle \sf{ \frac{p}{q} \: }qp</p><p></p><p>Where p & q are integers with q ≠ 0</p><p></p><p>So the number 1.010010001.. is irrational number</p><p></p><p>$