Find an irrational number between $\frac {1}{7}$ and $\frac {2}{7}$
Find an irrational number between $\frac {1}{7}$ and $\frac {2}{7}$
We saw that $\frac{1}{7}=0 . \overline{142857}$. So, you can easily calculate $\frac{2}{7}=0 . \overline{285714}$.
To find an irrational number between $\frac{1}{7}$ and $\frac{2}{7},$ we find a number which is non-terminating non-recurring lying between them. Of course, you can find infinitely many such numbers.
An example of such a number is $0.150150015000150000 \ldots$
Similar Questions
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State whether the following statements are true or false. Give reasons for your answers.
$(i)$ Every natural number is a whole number.
$(ii)$ Every integer is a whole number.
$(iii)$ Every rational number is a whole number
State whether the following statements are true or false. Give reasons for your answers.
$(i)$ Every natural number is a whole number.
$(ii)$ Every integer is a whole number.
$(iii)$ Every rational number is a whole number