Question

Express 253 divided by 5000 in decimal expansion without actual division​

Answer 1

$\LARGE\boxed{ \frac{253}{5000} = 0.0506}$

We have,

$\quad \frac{253}{5000} \\ \\ \\ = \frac{253}{ {10}^{3} \times 5} \\ \\ \\ = \frac{253}{ {10}^{3} \times 5} \times \frac{2}{2} \\ \\ \\ = \frac{253 \times 2}{ {10}^{3} \times 10} \\ \\ \\ = \frac{506}{ {10}^{4} } \\ \\ \\ = \frac{506}{10000} \\ \\ \\ = 0.0506$