Question

find two rational numbers between 1 and 2​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{1 and 2}$

$\underline{\textbf{To find:}}$

$\textsf{Two rational numbers between 1 and 2}$

$\underline{\textbf{Solution:}}$

$\textsf{We apply average method to find two rational numbers}$

$\textsf{between 1 and 2}$

$\textbf{A Rational number between 1 and 2}$

$\mathsf{=\dfrac{1+2}{2}}$

$\mathsf{=\dfrac{3}{2}}$

$\textbf{A Rational number between 1 and 3/2}$

$\mathsf{=\dfrac{1+\dfrac{3}{2}}{2}}$

$\mathsf{=\dfrac{\dfrac{2+3}{2}}{2}}$

$\mathsf{=\dfrac{\dfrac{5}{2}}{2}}$

$\mathsf{=\dfrac{5}{4}}$

$\implies\mathsf{\dfrac{3}{2}\;and\;\dfrac{5}{4}\;are\;two\;rational\;numbers\;}$

$\textsf{between 1 and 2}$

$\underline{\textbf{Find more:}}$

Find six national numbers between 3 and 4​

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