Example

Comparing 1212 and −∣−12∣-|-12|

When analyzing the relative sizes of 1212 and −∣−12∣-|-12|, prioritize simplifying the expression containing the absolute value. The absolute value of −12-12 evaluates to 1212, representing its distance from zero. Enacting the negative sign placed securely outside these absolute value bars negates this calculated distance, yielding −12-12. The evaluation then directly compares the initial positive integer 1212 against this resulting negative integer −12-12. Because any positive integer is strictly greater than a negative one (12>−1212 > -12), the final comparative relationship is robustly established as 12>−∣−12∣12 > -|-12|.

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Updated 2026-06-03

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