Math Problem Statement

A student measures the time of an experiment as 8 seconds, but the correct time is 7 seconds. What is the percent error?

Solution

To calculate the percent error, use the following formula:

Percent Error=(Measured ValueTrue ValueTrue Value)×100\text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100

Given:

  • Measured Value = 8 seconds
  • True Value = 7 seconds

Now, substitute the values into the formula:

Percent Error=(877)×100=(17)×10014.29%\text{Percent Error} = \left( \frac{|8 - 7|}{7} \right) \times 100 = \left( \frac{1}{7} \right) \times 100 \approx 14.29\%

So, the percent error is approximately 14.29%.

Let me know if you need further clarification or if you'd like to explore related topics!

Related questions:

  1. How can you reduce percent error in experimental measurements?
  2. What are the sources of error in scientific experiments?
  3. How does percent error relate to precision and accuracy?
  4. What is the difference between absolute error and percent error?
  5. How do you calculate the percent difference between two measured values?

Tip: To minimize error in experiments, ensure that the measuring instruments are calibrated properly and that the measurement process is consistent.

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Math Problem Analysis

Mathematical Concepts

Percent Error
Absolute Error
Measurement

Formulas

Percent Error = ((|Measured Value - True Value|) / True Value) * 100

Theorems

Percent Error Formula

Suitable Grade Level

Grades 6-8