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Classify the following number as rational or irrational: 1.101001000100001... - Mathematics

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Question

Classify the following number as rational or irrational:

1.101001000100001...

Sum

Solution

Given number is x = 1.101001000100001...

Since 1.101001000100001... is a non-terminating, non-repeating decimal number.

Hence, it is an irrational number.

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Chapter 1: Number Systems - Exercise 1.3 [Page 14]

APPEARS IN

NCERT Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 9.5 | Page 14
RD Sharma Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.4 | Q 3.14 | Page 31

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