To calculate the relative error as given by the expression \( \frac{|12.38|}{50} \times 100% \), follow these steps:
- Calculate the absolute value of 12.38, which is still 12.38 since it's already positive.
- Divide by 50: \[ \frac{12.38}{50} = 0.2476 \]
- Multiply by 100% to convert to a percentage: \[ 0.2476 \times 100% = 24.76% \]
So, the relative error is approximately 24.76%.