# Percent Error Worksheet

## 6 problems

Percent error measures the accuracy of a value by comparing the difference between an experimental (or observed) value and a true (or accepted) value, expressed as a percentage of the true value. It is calculated using the formula:

\text{Percent Error} = \left( \frac{|\text{Experimental Value} - \text{True Value}|}{\text{True Value}} \right) \times 100\%

This topic is important for evaluating the precision of experimental results in various scientific and mathematical contexts.

Algebra 1
Geometry And Measurement

## How Will This Worksheet on "Percent Error" Benefit Your Student's Learning?

• Teaching accuracy measurement.
• Encouraging critical evaluation of errors.
• Reinforcing arithmetic and percentage calculations.
• Providing insights into experimental reliability.
• Developing problem-solving skills in error analysis.

## How to Find Percent Error?

• Determine the experimental value (measured val...
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## Solved Example

Q. What is the percent error for a measurement of $25$ pints? $\newline$Write your answer in simplest form.
Solution:
1. Find Error for $25$ Pints: Find the greatest possible error for $25$ pints.$\newline$Divide the smallest unit of measurement by $2$.$\newline$$\frac{1}{2} = 0.5$$\newline$Greatest possible error: $0.5$ pints
2. Divide by $2$: Calculate the percent error.$\newline$We have: $\newline$Measurement: $25$ pints $\newline$Greatest possible error: $0.5$ pints $\newline$Percent error = $\frac{\text{Greatest possible error}} { \text{Measurement}} \times 100\%$$\newline$Percent error = $\frac{0.5} {25} \times 100\%$$\newline$= $0.02 \times 100\%$$\newline$= $2\%$

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