Question

Which of the given options is a non-terminating and non-repeating decimal?

• A. $\mathrm{5.121212...}$
• B. $\mathrm{8.123975...}$
• C. $\mathrm{1.102102102...}$
• D. $6.12789$

Answer 1

The correct option is B $\mathrm{8.123975...}$

$6.12789$ is a terminating decimal as it has 5 (finite) digits after the decimal point.

$\mathrm{5.121212...}$ is a non-terminating and repeating decimal as 12 repeats periodically after the decimal point.

$\mathrm{8.123975...}$ is a non-terminating and non-repeating decimal as it does not end, and there is no repetition in the digits after the decimal point.

$\mathrm{1.102102102...}$ is a non-terminating and repeating decimal as 102 is repeated periodically after the decimal point.

Hence, $\mathrm{8.123975...}$ is the correct option.