Question

The decimal expansion of $\frac{2517}{6250}$ will terminate after _____ digits.

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is C $5$

So, factorisation of 6250 is given by

$2\times 5\times 5\times 5\times 5\times 5=2\times 5^5$

Since we can see that 5 to the power 5, which is the highest power among the factorisation.

That means the decimal expansion will terminate after 5 digits.

The expansion of

$\begin{array}{c}\frac{2517}{6250}=0.40272\end{array}$