Question

Give four rational numbers equivalent to:

(i) -2/7

(ii) 5/-3

(iii) 4/9

Answer 1

Answer:

Step-by-step explanation:

(i) Four numbers equivalent to `-2/7` are

`-2/7**2/2 = -4/14`

`-2/7**3/3 = -6/21`

`-2/7**4/4 = -8/28`

`-2/7**5/5 = -10/35`

(ii)Four numbers equivalent to `-5/3` are

`-5/3**2/2 = -10/6`

`-5/3**3/3 = -15/9`

`-5/3**4/4 = -20/12`

`-5/3**5/5 = -25/15`

(iii)Four numbers equivalent to `4/9` are

`4/9**2/2 = 8/18`

`4/9**3/3 = 12/27`

`4/9**4/4 = 16/36`

`4/9**5/5 = 20/45`

Answer 2

Step-by-step explanation:

$Sol-1$

Four rational numbers are

$\frac{-2 × 2}{7 × 2} , \frac{-2 × 3}{7 × 3} , \frac{-2 × 4}{7 × 4} , \frac{-2 × 5}{7 × 5}$

$= \frac{-4}{14} , \frac{-6}{21} , \frac{-8}{28} , \frac{-10}{35}$

$Sol-2$

Four rational numbers are

$\frac{5 × 2}{-3 × 2} , \frac{5 × 3}{-3 × 3} , \frac{5 × 4}{-3 × 4} , \frac{5 × 5}{-3 × 5}$

$= \frac{10}{-6} , \frac{15}{-9} , \frac{20}{-12} , \frac{25}{-15}$

$Sol-3$

Four rational numbers are

$\frac{4 × 2}{9 × 2} , \frac{4 × 3}{9 × 3} , \frac{4 × 4}{9 × 4} , \frac{4 × 5}{9 × 5}$

$= \frac{8}{18} , \frac{12}{27} , \frac{16}{36} , \frac{20}{45}$