Question

write down the decimal expansion of rational number 2*2*2\2*2*2*5*5

Answer 1

2*2*2/2*2*2*5*5

2*2*2*5/2*2*2*5*5*5

8*5/(2*5)^3

40/(10)^3

40/1000

4/100

0.04

Answer 2

$= \frac{ {2}^{3} }{ {2}^{2} - {5}^{2} }$

$= \frac{2 \times 2 \times 2}{(2 \times 2) - (5 \times 5)}$

$= \frac{8}{4 - 25}$

$= \frac{8}{ - 21}$

$= - 0.38$