Question
Insert three rational numbers between:$0$ and $1$
✓
Answer
A rational number lying between $0$ and $1$
$=\frac{0+1}{2} $
$=\frac{1}{2}$
A rational number lying between $0$ and $\frac{1}{2}$
$=\frac{0+\frac{1}{2}}{2} $
$=\frac{1}{4}^2$
A rational number lying between $0$ and $\frac{1}{4}$
$=\frac{0+\frac{1}{4}}{2} $
$=\frac{1}{8} $
$0<\frac{1}{8}<\frac{1}{4}<\frac{1}{2}<1$
Hence, three rational numbers between $0$ and $1$ are $\frac{1}{8}, \frac{1}{4}$ and $\frac{1}{2}$.
$=\frac{0+1}{2} $
$=\frac{1}{2}$
A rational number lying between $0$ and $\frac{1}{2}$
$=\frac{0+\frac{1}{2}}{2} $
$=\frac{1}{4}^2$
A rational number lying between $0$ and $\frac{1}{4}$
$=\frac{0+\frac{1}{4}}{2} $
$=\frac{1}{8} $
$0<\frac{1}{8}<\frac{1}{4}<\frac{1}{2}<1$
Hence, three rational numbers between $0$ and $1$ are $\frac{1}{8}, \frac{1}{4}$ and $\frac{1}{2}$.
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