Question

Is 0. 101100101010 an irrational number? Justify your answer.

Answer 1

no since it has terminated it is rational no

Answer 2

0.101100101010  is not an irrational number.

Step-by-step explanation:

Given : Number is 0.101100101010 .

To find : Is number is an irrational number?

Solution :  

Rational numbers are the numbers which can be written in the form of $\frac{p}{q}$ where $q\neq0$.

Irrational numbers are the numbers which can not be written in the form of $\frac{p}{q}$ where $q\neq0$.

The given number is written as,

$0.101100101010=\frac{101100101010}{1000000000000}$

This is in the $\frac{p}{q}$ form.

So, it is rational number.

Therefore, 0.101100101010  is not an irrational number.

#Learn more

Which of the following statement is incorrect:

(A) rational number + rational number = rational  number

(B) irrational number + rational number = irrational  number

(C) integer + rational number=rational number

(D) irrational number + irrational number =Irrational number​

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