Estimate sums, products, quotients, and percent results, then judge whether an exact answer is reasonable.
Use a specified benchmark-percent rewrite
Problem
Rewrite \(18\%\) as \(10\%~+~5\%~+~3\%\), then calculate \(18\%\) of \(250\) exactly.
Big Picture
What this problem is really about
The percent is being decomposed into familiar parts, but every part still applies to the same whole. We’ll find ten percent, use it to build five percent, find one percent to build three percent, and then add the three amounts. Because the percent parts add exactly to eighteen percent, their amounts will give the exact result.
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