Find each sum or difference. See Example 1. -12.31 - (-2.13)

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Recognize that subtracting a negative number is equivalent to adding its positive counterpart. So, rewrite the expression \(-12.31 - (-2.13)\) as \(-12.31 + 2.13\).

Identify the operation now as addition of two numbers with different signs: a negative number \(-12.31\) and a positive number \(2.13\).

To add numbers with different signs, subtract the smaller absolute value from the larger absolute value: calculate \(12.31 - 2.13\).

Determine the sign of the result by looking at which number has the larger absolute value. Since \(12.31\) is larger than \(2.13\), the result will have the sign of \(-12.31\), which is negative.

Combine the sign and the difference to write the final expression as \(-(12.31 - 2.13)\), which simplifies to the final sum or difference.

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