This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
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Step 1: Understand the concept of additive inverse. The additive inverse of a number is the number that, when added to the original number, results in zero. For any number , its additive inverse is .
Step 2: Evaluate the absolute value expressions. • For : The absolute value of is . • For : The absolute value of is .
Step 3: List the numbers after evaluating absolute values. The numbers are now .
Step 4: Find the additive inverse for each number. • For : The additive inverse is . • For : The additive inverse is . • For : The additive inverse is . • For : The additive inverse is .
The additive inverses are: For : For : For (which is ): For (which is ):
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Understand the concept of additive inverse. The additive inverse of a number is the number that, when added to the original number, results in zero.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.