Example

Comparing ∣−6∣|-6| and −6-6

To correctly compare the absolute value expression ∣−6∣|-6| and the negative integer −6-6, start by simplifying the absolute value. The absolute value of −6-6 resolves exactly to 66, so the comparison directly evaluating the values becomes the positive integer 66 versus the negative integer −6-6. Since 66 is positioned to the right of −6-6 on the number line, it concludes definitively that 6>−66 > -6. Substituting the original expression back yields the final relationship ∣−6∣>−6|-6| > -6.

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Updated 2026-06-05

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