Question

Find six rational number between - 1 and 0

Answer 1

Hey Mate!

To find a rational number, we will use formula

$\frac{r + s}{2} = \\ \frac{ - 1 + 0}{2} = \frac{ - 1}{2}$

In, -1 and -1/2

$\frac{ - 1 + \frac{ - 1}{2} }{2} = \\ \frac{ - 3}{2} \times \frac{1}{2} = \frac{ - 3}{4}$

In, -1 and -3/4 we have

$( - 1 + \frac{ - 3}{4} ) \div 2 \\ \frac{ - 7}{4} \times \frac{1}{2} = \frac{ - 7}{8}$

In, -1 and -7/8

$( - 1 + \frac{ - 7}{8} ) \div 2 \\ \frac{ - 1 5}{8} \times \frac{1}{2} = \frac{ - 15}{16}$

Now, in 1/2 and 0 we have

$(\frac{ - 1}{2} + 0) \div 2 \\ \frac{ - 1}{2} \times \frac{1}{2} \\ = \frac{ - 1}{4}$

In, 1/4 and 0 we have

$\frac{ - 1}{4} \div 2 \\ \frac{ - 1}{8}$

So, we have -1 < -15/16 < -7/8 < -3/4 < -1/2 < - 1/4 < -1/8 < 0

Hope it helps☺!✌

Note : Question is solved according to 9th standard.