Question

write the decimal expression of 8/625 without actual division​

Answer 1

Answer:

$\frac{8}{625} \\ = \frac{8}{5 \times 5 \times 5 \times 5} \\ = \frac{8}{ {5}^{4} } \\ = \frac{8 \times {2}^{4} }{ {5}^{4} \times {2}^{4} } \\ = \frac{8 \times 16}{ {(2 \times 5)}^{4} } \\ = \frac{128}{10000} \\ = 0.0128$

Answer 2

Answer:

\begin{gathered} \frac{8}{625} \\ = \frac{8}{5 \times 5 \times 5 \times 5} \\ = \frac{8}{ {5}^{4} } \\ = \frac{8 \times {2}^{4} }{ {5}^{4} \times {2}^{4} } \\ = \frac{8 \times 16}{ {(2 \times 5)}^{4} } \\ = \frac{128}{10000} \\ = 0.0128\end{gathered}

625

8

=

5×5×5×5

8

=

5

4

8

=

5

4

×2

4

8×2

4

=

(2×5)

4

8×16

=

10000

128

=0.0128