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High-Precision Percent Error Calculator 🔬

Uses **arbitrary precision arithmetic** for maximum accuracy:
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Percent Error (Absolute Value)
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Percent Error – Guide & Information

What is Percent Error?

Percent Error measures how far the experimental (actual) value is from the expected (true) value, expressed as a percentage.

Why Use Percent Error?

It helps evaluate accuracy in scientific experiments, lab work, physics, chemistry, and quality control processes.

Formula Used

|Actual – Expected| / |Expected| × 100. The tool calculates this instantly with detailed steps.

When is Error High?

A large percent error means the experiment has inaccuracies, calculation mistakes, or measurement issues.

When is Error Low?

A low percent error indicates accurate measurements and reliable laboratory techniques.

Real-World Use

Used in physics labs, chemistry titrations, engineering tests, electronics calibration, and school experiments.

Frequently Asked Questions

What does Percent Error tell you?

It tells you how accurate your measured value is when compared to the true or expected value.

Can Percent Error be negative?

No. Because it uses absolute values, percent error is always positive.

Is a lower percent error better?

Yes. A lower percentage means your measurement is more accurate.

What is considered a good percent error?

Below 5% is usually considered accurate. Below 1% is excellent.

Can expected value be zero?

No. Percent error cannot be calculated when expected value is zero.

Example Calculations

Example 1

  • Actual Value = 10.5
  • Expected Value = 10
  • Percent Error = |10.5 - 10| / 10 × 100 = 5%

Example 2

  • Actual Value = 48
  • Expected Value = 50
  • Percent Error = |48 - 50| / 50 × 100 = 4%

Example 3

  • Actual Value = 102
  • Expected Value = 100
  • Percent Error = |102 - 100| / 100 × 100 = 2%

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Percent Error=∣Actual−ExpectedExpected∣×100%\text{Percent Error} = \left| \frac{\text{Actual} - \text{Expected}}{\text{Expected}} \right| \times 100\%Percent Error=​ExpectedActual−Expected​​×100%