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

What is the correct way to write 1/4% as a​ decimal? What did the reporter do​ wrong?
1/4% as a decimal is 0.0025

part 2
The repoter found the decimal form of __ instead of the deciaml form of 1/4%

Answer 1

To convert \( \frac{1}{4}% \) to a decimal, you first need to understand that the percentage indicates a value out of 100. So, \( \frac{1}{4}% \) can be calculated as follows:

1. Convert \( \frac{1}{4} \) to its decimal form:
   \( \frac{1}{4} = 0.25 \)

2. Since \( \frac{1}{4} % \) means \( 0.25 \) out of 100, we need to divide by 100:
   \( 0.25 \div 100 = 0.0025 \)

Thus, \( \frac{1}{4}% \) as a decimal is \( 0.0025 \).

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What the reporter did wrong: The reporter incorrectly wrote \( 0.25 \) as the decimal form of \( \frac{1}{4}% \). In fact, \( 0.25 \) is the decimal equivalent of \( 25% \), not \( \frac{1}{4}% \).

Part 2:

The reporter found the decimal form of 25% instead of the decimal form of \( \frac{1}{4}% \).