Question

Which of the following is a non-terminating decimal?

• A. $0.34\overline{5}$
• B. $\frac{1}{5}$
• C. $\frac{1}{2}$
• D. $0.345$

Answer 1

The correct option is A $0.34\overline{5}$

$0.34\overline{5}=\mathrm{0.34555555....}$
As it contains the infinite number of digits, it is a non-terminating decimal.
Option A is correct.

$\frac{1}{5}=0.2$
As it contains the finite number of digits, it is a terminating decimal.
Option B is incorrect.

$\frac{1}{2}=0.5$
As it contains the finite number of digits, it is a terminating decimal.
Option C is incorrect.

Option D = 0.345
As it contains the finite number of digits, it is a terminating decinmal.
Option D is incorrect.