Question

Is 0.101100101010 an irrational number? Justify your answer

Answer 1

Here is your answer.

The given number is irrational number because it can not be written into fraction form.

hope it helps you.

Answer 2

Answer:

Step-by-step explanation:

it is a rational no.

as it can be expressed in the form of p/q

consider x=0.1011001010....

multiply both the sides with 1000000

therefore, 1000000x=101100.101010........(1)

now again multiply with 100

therefore, 100000000x=10110010.101010......(2)

subtract (2)-(1)

therefore, 100000000x - 1000000 = 10110010.101010....-101100.101010.....

                    99000000x = 10008910

therefore x = 10008910/99000000

so this is the p/q form

hope it helps!!!!....