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The following real number have decimal expansions as given below. In the following case, decide whether it is rational or not. If it is rational, and of the form p/q what can you - Mathematics

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Question

The following real number have decimal expansions as given below. In the following case, decide whether it is rational or not. If it is rational, and of the form p/q what can you say about the prime factors of q?

`43.bar(123456789)`

Sum

Solution

`43.bar(123456789)`

It is rational number, as it is non-terminating but repeating. The factors of q will be, apart from 2 and 5, some other factor also.

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Chapter 1: Real Numbers - Exercise 1.4 [Page 18]

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NCERT Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.4 | Q 3. (iii) | Page 18

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