Example

Comparing 88 and 8-|-8|

To compare 88 and 8-|-8|, simplify the expression containing the absolute value first. The absolute value of 8-8 is 88, so 8=8|-8| = 8. Applying the negative sign outside the absolute value yields 8-8. Comparing the two integers on the number line, 88 is to the right of 8-8, which means 8>88 > -8. Therefore, substituting the simplified form gives the final relationship: 8>88 > -|-8|. This demonstrates evaluating the absolute value before applying an external negation when determining order.

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Updated 2026-05-01

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