To solve the expression \(-2.05 + |-25| : |-16|\), we need to follow the order of operations (PEMDAS/BODMAS).
Calculate the absolute values:
- \(|-25| = 25\)
- \(|-16| = 16\)
Substitute these values back into the expression: \[ -2.05 + 25 : 16 \]
Now, perform the division: \[ 25 : 16 = \frac{25}{16} \approx 1.5625 \]
Substitute this back into the expression: \[ -2.05 + 1.5625 \]
Now, perform the addition: \[ -2.05 + 1.5625 = -0.4875 \]
So, the final result is: \[ \boxed{-0.4875} \]
