Question
Find five rational numbers between $-3$ and $-2.$
✓
Answer
5 rational numbers between $-3$ and $-2$
We can write $-3=\frac{-3\times6}{6}=\frac{-18}{6}$
$\Rightarrow-2=\frac{-2\times6}{6}=\frac{-12}{6}$
$\Rightarrow-2=\frac{-2\times6}{6}=\frac{-12}{6}$
$\Rightarrow\frac{-18}{6}<\frac{-12}{6}$
$\Rightarrow\frac{-18}{6}<\frac{-17}{6}<\frac{-16}{6}<\frac{-15}{6}$
$<\frac{-14}{6}<\frac{-13}{6}<\frac{-12}{6}$
$\therefore$ Five rational number between $-3$ and $-2$ will be $\frac{-17}{6},\frac{16}{6},\frac{-15}{6},\frac{-14}{6}\frac{-13}{6}$
We can write $-3=\frac{-3\times6}{6}=\frac{-18}{6}$
$\Rightarrow-2=\frac{-2\times6}{6}=\frac{-12}{6}$
$\Rightarrow-2=\frac{-2\times6}{6}=\frac{-12}{6}$
$\Rightarrow\frac{-18}{6}<\frac{-12}{6}$
$\Rightarrow\frac{-18}{6}<\frac{-17}{6}<\frac{-16}{6}<\frac{-15}{6}$
$<\frac{-14}{6}<\frac{-13}{6}<\frac{-12}{6}$
$\therefore$ Five rational number between $-3$ and $-2$ will be $\frac{-17}{6},\frac{16}{6},\frac{-15}{6},\frac{-14}{6}\frac{-13}{6}$
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