Question

Use the additive inverse to find −123.45−(−234.76).

<mo>&#x2212;<!-- − -></mo>
<mn>111.31</mn>
</math>

Answer 1

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:

1. Start from the rightmost digit (hundredths place): \(6 + 5 = 11\). Write down \(1\) and carry over \(1\).
2. Next column (tenths place): \(7 + 4 + 1 = 12\). Write down \(2\) and carry over \(1\).
3. Next column (units place): \(4 + 3 + 1 = 8\).
4. Next column (tens place): \(2 + 2 = 4\).
5. Finally, in the hundreds place: \(2\).

Putting it all together gives:

\[
111.31
\]

Thus, the final result is:

\[
-123.45 - (-234.76) = 111.31
\]