1.010010001… Classify the following numbers as rational or irrational with justification

Solution:

It is given that

1.010010001…

We know that the non terminating non recurring decimal expansion is an irrational number

Therefore, the given number is an irrational number.

✦ Try This: Classify the following numbers as rational or irrational with justification: 2.020020002…

It is given that

2.020020002…

We know that the non terminating non recurring decimal expansion is an irrational number

Therefore, the given number is an irrational number.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1

NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 4(x)

1.010010001… Classify the following numbers as rational or irrational with justification

Summary:

Irrational numbers are real numbers that cannot be represented as a simple fraction. 1.010010001… is an irrational number

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