Find an irrational number between frac{1}{7} | vedclass

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Question

(A) We know that $\frac{1}{7} = 0.\overline{142857}$ and $\frac{2}{7} = 0.\overline{285714}$.To find an irrational number between these two values,we

Vedclass · Accepted Answer

$0.15015001500015$

Vedclass · Answer

(A) We know that $\frac{1}{7} = 0.\overline{142857}$ and $\frac{2}{7} = 0.\overline{285714}$.To find an irrational number between these two values,we need a number that is non-terminating and non-recurring.Any number of the form $0.15015001500015...$ satisfies this condition because it lies between $0.142857...$ and $0.285714...$ and does not repeat in a fixed pattern.Thus,one such irrational number is $0.15015001500015...$.

Find an irrational number between $\frac{1}{7}$ and $\frac{2}{7}$. (in $...$)

Similar Questions

Represent $\sqrt{9.3}$ on the number line.

Rationalise the denominator of $\frac{1}{2+\sqrt{3}}$.

Find:
$(i)$ $9^{\frac{3}{2}}$
$(ii)$ $32^{\frac{2}{5}}$
$(iii)$ $16^{\frac{3}{4}}$
$(iv)$ $125^{-\frac{1}{3}}$

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$(ii)$ $32^{\frac{1}{5}}$
$(iii)$ $125^{\frac{1}{3}}$

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