Question

The two rational numbers that lie between 5 and 4 are

Answer 1

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

$\textsf{Numbers are 4 and  5}$

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

$\textsf{Two rational numbers between 4  and 5}$

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

$\textsf{We find two rational numbers between 4 and 5}$

$\textsf{by Average method}$

$\textsf{Rational number between 4 and 5}$

$\mathsf{c_1=\dfrac{4+5}{2}}$

$\implies\boxed{\mathsf{c_1=\dfrac{9}{2}}}$

$\mathsf{Rational\;number\;between \;4\;and\;\dfrac{9}{2}}$

$\mathsf{c_2=\dfrac{4+\dfrac{9}{2}}{2}}$

$\mathsf{c_2=\dfrac{\dfrac{8+9}{2}}{2}}$

$\mathsf{c_2=\dfrac{\dfrac{17}{2}}{2}}$

$\implies\boxed{\mathsf{c_2=\dfrac{17}{4}}}$

$\underline{\textbf{Answer:}}$

$\mathsf{The\;two\;rational\;numbers\;between\;4\;and\;5\;are\;\dfrac{9}{2}\;and\;\dfrac{17}{4}}$

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

Find six national numbers between 3 and 4​

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