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%
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%
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%
Answers
GPT-4o mini
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 \( \frac{1}{4}\% \).
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 \( 0.0025 \).
---
**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 \( \frac{1}{4}\% \).