Question

find two rational and two irrational number between 0.5and 0.55

Answer 1

Hello Mate!

To find rational number we will use ( r + s ) / 2

$\frac{(0.5 + 0.55)}{2} = \frac{1.05}{2} \\ \frac{105}{100} \times \frac{1}{2} = \frac{105}{200} \\ another \: rational \: no \: will \: be \\ (\frac{5}{10} + \frac{105}{200} ) \times \frac{1}{2} \\ \frac{205}{400}$

Tow irrational number can be found are

a = 0.5
b = 0.55

Here a < b

c = 0.5050050005.......
d = 0.54040040004......

a < c < d < b

Hope it helps☺!

Answer 2

2 Rational no are 0.51 & 0.52
2 irrational no are 0.5050050005......& 0.51051005100051....