The product of two numbers is 0.008. One of the number is $$\frac{1}{5}$$ of the other. The smaller number is -

$$\eqalign{ & {\text{Let the one number be }}x \cr & {\text{And the other number be }}\frac{1}{5}x \cr & {\text{According to question}} \cr & x \times \frac{1}{5}x = 0.008 \cr & {x^2} = 0.040 \cr & {\text{ }}x = 0.2 \cr & {\text{Other number}} \cr & = \frac{1}{5} \times 0.2\, \cr & = 0.04 \cr & {\text{Smaller number is 0}}{\text{.04}} \cr} $$