Question

write any two rational numbers between -3 and 0​

Answer 1

$- 3 \: and \: 0$

According to the number line we have

$- 2$

$- 1$

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Answer 2

Given: Two numbers -3 and 0

To find: Two rational numbers between these

Solution: To insert rational numbers between -3 and 0, we find the mean of -3 and 0

i.e., $\frac{-3 \ + \ 0}{2} = \frac{-3}{2}$

We find that -3 < $\frac{-3}{2}$ < 0

We now find another rational number between -3 and $\frac{-3}{2}$. For this, we again find the mean of -3 and $\frac{-3}{2}$.

i.e., $\frac{-3 \ + \ \frac{-3}{2} }{2} = \frac{\frac{-6 \ - \ 3}{2} }{2} = \frac{-9}{4}$

We get $-3 < \frac{-9}{4} < \frac{-3}{2} < 0$

Hence, two rational numbers between -3 and 0 are : $\frac{-9}{4} \ and \ \frac{-3}{2}$.