The correct statements are A, B and E
SOLUTION:
Given, number is
We have to choose the statements that correctly describes the above number.
Now, we know that, a bar on a number represents it is repeating decimal. So let us check options now.
A. It is a repeating decimal.
As the number has it is repeating decimal. So this option is correct.
B. It is a non-terminating decimal.
As the number is repeating, it will not terminate, so this option is correct.
C. It is a non-repeating decimal.
No, it is repeating. So this is wrong statement.
D. It is a terminating decimal.
It is non – terminating, so this is wrong.
E. It is a rational number.
As it is repeating, we can represent it in fraction, so this is correct.
F. It is not a rational number.
It is rational number so, this is wrong option.