To solve \(-123.45 - (-234.76)\) using the additive inverse, we need to remember that subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as:
\[ -123.45 + 234.76 \]
Now, we can perform the addition. Aligning the numbers:
\[ \begin{array}{r} -123.45 \
- 234.76 \ \hline \end{array} \]
Now we can add:
- Start from the rightmost digit (hundredths place): \(6 + 5 = 11\). Write down \(1\) and carry over \(1\).
- Next column (tenths place): \(7 + 4 + 1 = 12\). Write down \(2\) and carry over \(1\).
- Next column (units place): \(4 + 3 + 1 = 8\).
- Next column (tens place): \(2 + 2 = 4\).
- Finally, in the hundreds place: \(2\).
Putting it all together gives:
\[ 111.31 \]
Thus, the final result is:
\[ -123.45 - (-234.76) = 111.31 \]