Question

write one rational and one irrational number lying between 0.5 abd 0.6

Answer 1

We can write 0.5 as 5/10 and 0.6 as 6/10.

In order to find one Rational between them , we will multiply them by 2/2.

5/10 × 2/2 = 10/20

6/10 ×2/2 = 12/20

One Rational between 0.5 and 0.6 is 11/20.
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Irrational Numbers are those numbers whose decimal expansion is non-terminating and non-repeating.

Therefore, one irrational between 0.5 and 0.6 →

0.50010001000010000010000001....

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Answer 2

a) rational no. b/w 5/10 nd 6/10
= multiplying both the numbers by 2
5/10×2/2 nd 6/10×2/2 = 10/22 nd 12/20
so 11/20 is rational between 0.5 nd 0.6

b) irrational number between 0.5 nd 0.6 is 0.505005000...