Irrational number betwen1/7 and 2/7

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Irrational number betwen1/7 and 2/7

Posted by Satbeer Singh 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 9 months ago

Given numbers are $\frac{1}{7}$ and $\frac{2}{7}.$
$\frac{1}{7}=0.142857142857 \ldots$
$\Rightarrow \frac{1}{7}=0 . \overline{142857}$
$\frac{2}{7}=2 \times \frac{1}{7}=0.285714285714 \ldots$
$\Rightarrow \quad \frac{2}{7}=0 . \overline{285714}$
To find irrational numbers between $\frac{1}{7}$ and $\frac{2}{7}$ , we find numbers which are non-terminating and non-repeating.
There are infinitely many such numbers lying between $\frac{1}{7}$ and $\frac{2}{7}$ .
Examples:

0.150150015000150000 ...
0.250250025000250000 ...
etc..

0Thank You

ANSWER

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CBSE > Class 09 > Mathematics