Error Analysis A newspaper reporter wrote an article about the amount of a toxin found in a river near a factory. In the article, the reporter incorrectly used 0.25 as the decimal form of 1/4%

Question

Error Analysis A newspaper reporter wrote an article about the amount of a toxin found in a river near a factory. In the​ article, the reporter incorrectly used 0.25 as the decimal form of 1/4%

way to write 1/4​% as a​ decimal? What did the reporter do​ wrong?

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1/4​% as a decimal is__
  
enter your response here.

GPT-4o mini · Answer

To convert $ \frac{1}{4}\% $ to a decimal, follow these steps: 1. **Convert the percentage to a fraction**: $$ \frac{1}{4}\% = \frac{1}{4} \div 100 = \frac{1}{4} \times \frac{1}{100} = \frac{1}{400} $$ 2. **Convert the fraction to a decimal**: To compute $ \frac{1}{400} $: $$ \frac{1}{400} = 0.0025 $$ Thus, $ \frac{1}{4}\% $ as a decimal is $ 0.0025 $. ### What the reporter did wrong: The reporter incorrectly used $ 0.25 $ instead of $ 0.0025 $. The mistake stems from misunderstanding the conversion of percentages to decimals; 0.25 represents $ 25\% $, not $ \frac{1}{4}\% $.

Error Analysis A newspaper reporter wrote an article about the amount of a toxin found in a river near a factory. In the​ article, the reporter incorrectly used 0.25 as the decimal form of 1/4%

What the reporter did wrong:

Error Analysis A newspaper reporter wrote an article about the amount of a toxin found in a river near a factory. In the article, the reporter incorrectly used 0.25 as the decimal form of 1/4%