Question

Which of the following is a non-terminating as well as non-repeating decimal?

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

Answer 1

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

$6.12789$ is a terminating decimal, as it has a finite number of digits after the decimal point i.e. 5.

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

$\mathrm{8.123975...}$ is a non-terminating and non-repeating decimal as it has an infinite number of digits after the decimal point without any pattern of repetition of digits.

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