Report quantities with accuracy appropriate to measurement limitations.
Decide whether rounding changes a conclusion
Problem
Compare the exact value \(49.6\) with the rounded value \(50\). Does rounding change the conclusion about whether the value is at least \(50\)?
Big Picture
What this problem is really about
Translate the decision rule into an inequality, paying attention to whether equality belongs at the cutoff. Test the exact value and the rounded display separately against that same boundary; rounding changes the conclusion precisely when those two comparisons land on different sides of the rule.
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