To solve the expression \(-123.45 - (-234.76)\), we can use the concept of the additive inverse. The additive inverse of a number \(x\) is \(-x\). Therefore, subtracting a negative number is equivalent to adding its positive counterpart.
So, we can rewrite the expression:
\[ -123.45 - (-234.76) = -123.45 + 234.76 \]
Now, let's calculate this:
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First, we add the two numbers while taking care of their signs: \[ 234.76 - 123.45 \]
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Now, let's perform the subtraction:
- We can align the numbers:
234.76 - 123.45 ---------
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Now we subtract:
- For the hundredths place: \(6 - 5 = 1\)
- For the tenths place: \(7 - 4 = 3\)
- For the units place: \(4 - 3 = 1\)
- For the tens place: \(3 - 2 = 1\)
- For the hundreds place: \(2 - 1 = 1\)
So, putting it together, we get:
\[ 234.76 - 123.45 = 111.31 \]
Thus, the final result is:
\[ -123.45 - (-234.76) = 111.31 \]
Therefore, the answer is:
111.31