To find \(-123.45 - (-234.76)\) using the additive inverse, we can rewrite the expression. The additive inverse of \(-234.76\) is \(+234.76\).
So, the expression becomes:
\[ -123.45 + 234.76 \]
Now, we can perform the addition:
\[ 234.76 - 123.45 \]
To calculate this, we can align the numbers:
234.76
- 123.45
---------
Now performing the subtraction:
- In the hundredths place: \(6 - 5 = 1\)
- In the tenths place: \(7 - 4 = 3\)
- In the units place: \(4 - 3 = 1\)
- In the tens place: \(3 - 2 = 1\)
- In the hundreds place: \(2 - 1 = 1\)
Putting it all together, we get:
\[ 234.76 - 123.45 = 111.31 \]
Therefore, the result of \(-123.45 - (-234.76)\) is:
\[ \boxed{111.31} \]