What are two decimals that had a product of .2 and a quotient of.8?

Let the two numbers be x and y,

Then:

1. xy = 0.2
2. x/y = 0.8 → x = 0.8y

Substituting for x found in (2) in (1) gives:

(0.8y)y = 0.2

→ 0.8y² = 0.2

→ y² = 0.2 ÷ 0.8 = 0.25

→ y = ±0.5

→ x = 0.8 × ±0.5 = ± 0.4

→ the two decimals are:

0.4 and 0.5

or:

-0.4 and -0.5