Estimate sums, products, quotients, and percent results, then judge whether an exact answer is reasonable.
Use an estimate to check an exact answer
Problem
Calculator claim: \(18\%~\text{of}~92~=~14.7\). Use \(20\%~\text{of}~92\) as the benchmark. A gap up to \(10\%\) of the benchmark is reasonable. Compare the positive gap with the \(10\%\) limit.
Big Picture
What this problem is really about
The claim is judged by a benchmark and a tolerance, so we need two separate comparisons. We’ll calculate the twenty-percent benchmark, find the positive gap between it and the claim, and then find ten percent of the benchmark as the allowed limit. Comparing the gap with that limit decides whether the claim is reasonable.
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