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Find six rational numbers between 3 and 4. - Mathematics

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Question

Find six rational numbers between 3 and 4.

Solution

Let us take the 3 and 4 as rational numbers with denominator 6 + 1 = 7

Then the 6 rational numbers between 3 and 4 are

`3=(3xx7)/(1xx7)=21/7` and `4=(4xx7)/(1xx7)=28/7`,

We know that 21<22<23<24<25<26<27<28

`21/7<22/7<23/7<24/7<25/7<26/7<27/7<28/7.`

Hence, six rational numbers between 3=21/7 and 4=28/7 are

`22/7, 23/7, 24/7, 25/7, 26/7 " and " 27/7.`

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 (2018 (Latest))
Chapter 1: Number Systems
Ex. 1.1 | Q: 3 | Page no. 5
 NCERT Solution for Mathematics Class 9 (2018 (Latest))
Chapter 1: Number Systems
Ex. 1.1 | Q: 2 | Page no. 5
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Solution Find six rational numbers between 3 and 4. Concept: Introduction of Real Number.
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