Question

Find five rational numbers between $-1$ and $1.$

Answer 1

Given two numbers $-1$ and $1$
as we required $5$ rational numbers, so multiply and divided by $5$ with two given numbers as
$-1=\frac{-1\times 5}{1\times 5}$
$\Rightarrow -1=\frac{-5}{5}$
And $1=\frac{1\times 5}{1\times 5}$
$\Rightarrow 1=\frac{5}{5}$
Now arrange $5$ numbers as $-5<4<-3<-2<-1<1<2$
Dividing $5$ with each number, we get
$\frac{-5}{5}<\frac{-4}{5}<\frac{-3}{5}<\frac{-2}{5}<\frac{-1}{5}<\frac{1}{5}<\frac{2}{5}$

Hence, the five rational numbers between $-1$and $1$ are $\frac{-4}{5},\frac{-3}{5},\frac{-2}{5},\frac{-1}{5}$ and $\frac{1}{5}$.