To find the number that, when added to -1.63, equals 1.16, we can set up the equation as follows:
\[ x + (-1.63) = 1.16 \]
This can be rewritten as:
\[ x - 1.63 = 1.16 \]
Now, add 1.63 to both sides of the equation:
\[ x = 1.16 + 1.63 \]
Calculating the right side:
\[ x = 2.79 \]
Thus, the number you are looking for is \(2.79\).