Classify the following numbers as rational or irrational:
(i)
(ii)
(iii) 0.3796 (iv)
…. (v)
(vi) 1.101001000100001…
Solution:
(i)
…..
The decimal expansion of
is non-terminating non-recurring. Therefore, it is irrational number.
(ii)
It is rational number because it can be expressed in
form as
.
(iii) 0.3796
The decimal expansion is terminating. Therefore, it is a rational number.
(iv)
The decimal expansion is non-terminating recurring. It means that it is a rational number.
(v) 1.101001000100001…
The decimal expansion is non-terminating non-recurring. Therefore, it is irrational number.
Nikitha says
It’s good to show solutions with the workouts. Because children can understand better and its easy for them to remember it also.
Nikitha says
It’s good to show answers with the workouts. Because it’s better and easy for children to understand.!!