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Question
in science class, anita is learning to use a method called water displacement to find the volume of a solid. in todays experiment, she misread the markings on her graduated cylinder and found the volume of a solid to be 0.46 cubic centimeters. anitas lab partner corrected her by saying the actual volume of the solid was 0.50 cubic centimeters. what is the percent error for anitas measurement? if necessary, round your answer to the nearest tenth of a percent. % submit
Step1: Find the absolute error
The absolute error is the absolute difference between the measured value and the actual value. So, we calculate \( |\text{measured} - \text{actual}| \).
\( |0.46 - 0.50| = | - 0.04| = 0.04 \)
Step2: Calculate percent error
The formula for percent error is \( \text{Percent Error} = \frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\% \).
Substitute the values: \( \frac{0.04}{0.50} \times 100\% \)
First, calculate \( \frac{0.04}{0.50} = 0.08 \), then multiply by 100%: \( 0.08 \times 100\% = 8.0\% \)
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