Question

Which of the following is a non-terminating decimal?

Answer 1

Option(c)
$\frac{6}{40}$ = $\frac{3}{20}$ = 0.15 (Terminating decimal),

$\frac{15}{300}$ = 0.05 (Terminating decimal),

$\frac{7}{210}$ = 0.0333…. (non terminating decimal),

$\frac{9}{250}$ = 0.036 (Terminating decimal)

Out of the four options, option(c) is non terminating decimal because denominator does not have factors in the form of $2^n$ , $5^m$ or $2^n\times 5^m$. It has a value of 3 which makes the whole term as non terminating decimal.