Percent Error Worksheet

Algebra 1
Geometry And Measurement

Total questions - 0

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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 value) and the true value (accepted or known value).
  • Find the absolute difference between the experimental value E) and the true value (T):   |ET|
  • Divide the absolute difference by the true value (TTT) and multiply by 100 to express it as a percentage:    
    Percent Error=(|E-T|T)×100
  • Interpret the result to determine the accuracy of the experimental value.

Solved Example

Q. What is the percent error for a measurement of 25 25 pints? \newlineWrite your answer in simplest form.
Solution:
  1. Find Error for 25 25 Pints: Find the greatest possible error for 25 25 pints. \newlineDivide the smallest unit of measurement by 2 2. \newline12=0.5 \frac{1}{2} = 0.5 \newlineGreatest possible error: 0.5 0.5 pints
  2. Divide by 2 2: Calculate the percent error. \newlineWe have: \newlineMeasurement: 25 25 pints \newlineGreatest possible error: 0.5 0.5 pints \newlinePercent error =
    Greatest possible errorMeasurement×100% \frac{\text{Greatest possible error}} { \text{Measurement}} \times 100\%
    \newlinePercent error = 0.525×100% \frac{0.5} {25} \times 100\% \newline= 0.02×100% 0.02 \times 100\% \newline= 2% 2\%
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About Worksheet

Algebra 1
Geometry And Measurement

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:

Percent Error=(|Experimental Value-True Value|True Value)×100%

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

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