Interpret absolute value as distance and use it to compare quantities and errors.
Compare absolute values
Problem
Compare \(|-6|\) and \(|4|\). Report the number farther from \(0\).
Big Picture
What this problem is really about
Compare the numbers by distance rather than ordinary signed order. Evaluate each absolute value to measure how many units the original number lies from zero, then compare those two nonnegative distances. The prompt asks for the original number that is farther away, so restore its sign when naming it.
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