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Insert a rational number and an irrational number between the following: 13 and 12 - Mathematics

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Question

Insert a rational number and an irrational number between the following:

`1/3` and `1/2`

Sum

Solution

We know that, there are infinitely many rational and irrational values between any two numbers.

 A rational number between `1/3` and `1/2` is `5/12`.

An irrational number between `1/3` and `1/2`

i.e., between 0.3 and 0.5 is 0.4141141114.............

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Chapter 1: Number Systems - Exercise 1.3 [Page 9]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 3. (iii) | Page 9

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