Question

(1. List five rational numbers between:
(i) -1 and 0
(ii) -2 and -1​

Answer 1

Answer:

-5/6 , -4/6 , -3/6, -2/6, -1/6

Answer 2

Answer:

(i)

$- 1 = \frac{ - 12}{12} \\ 0 = \frac{0}{12}$

hence the number between -1 and 0 are the numbers between

$\frac{ - 12}{12} and \: \frac{0}{12}$

hence the number between -1 and 0 are

$\frac{ - 11}{12} \: \frac{ - 10}{12} \: \frac{ - 9}{12} \: \frac{ - 5}{12} \: \frac{ - 2}{2}$

(ii)

hence the number between -2 and -1 are between

$- 2 = \frac{ - 20}{10} \\ and \\ - 1 = \frac{ - 10}{10}$

Therefore the numbers are

$\frac{ - 11}{10} \: \frac{ - 12}{10} \: \frac{ - 13}{10} \: \frac{ - 14}{10} \: \: \frac{ - 15}{10}$