A student takesd the measurment 2.75 meters. Calculate the % error if the handbook states the value 3.11 meters

To calculate the percentage error, we use the following formula:

\[
\text{Percentage Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100
\]

Here, the measured value is \(2.75\) meters, and the true (handbook) value is \(3.11\) meters.

Now, let's compute it:

\[
\text{Percentage Error} = \left( \frac{|2.75 - 3.11|}{3.11} \right) \times 100
\]

\[
\text{Percentage Error} = \left( \frac{0.36}{3.11} \right) \times 100 = 11.58\%
\]

So, the percentage error is approximately **11.58%**.

Would you like further details or clarification?

Here are 5 related questions to expand your understanding:
1. How is percentage error different from percentage difference?
2. What would the percentage error be if the measured value was exactly the same as the true value?
3. Why is it important to consider percentage error in experimental measurements?
4. How does percentage error change if the measured value is significantly greater than the true value?
5. Can you explain a situation where a small percentage error might still indicate a significant problem?

**Tip:** Always use absolute values when calculating percentage error to avoid negative results, as it’s meant to represent the magnitude of error, not the direction.

A student takes the measurement 2.75 meters. Calculate the % error if the handbook states the value 3.11 meters.

Learn how to calculate the percentage error when a student's measurement is 2.75 meters and the true value from the handbook is 3.11 meters. This guide covers the essential formula for percentage error and explains how to calculate the result step-by-step. Suitable for students in Grades 8-10.

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