Question

Guided Practice

Find the percent error of the measurement.

0.2 cm


A.
25%


B.
50%


C.
400%

Answer 1

To find the percent error of a measurement, you typically need to know both the measured value and the true or accepted value. The formula for percent error is:

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

In this case, you only provided the measurement of 0.2 cm, but you need the true value to calculate the percent error. If we had a true value (let's say 1 cm for the sake of an example), we would calculate it as follows:

1. Assume the true value is 1 cm (for example).
2. Measured value = 0.2 cm.
3. Calculate the error:

\[
\text{Error} = |\text{True Value} - \text{Measured Value}| = |1 - 0.2| = 0.8 \text{ cm}
\]

4. Calculate the percent error:

\[
\text{Percent Error} = \left( \frac{0.8}{1} \right) \times 100\% = 80\%
\]

Without knowing the true value, we can't definitively say which of the options A, B, or C is correct. If you provide a true value, I can help you find the accurate percent error.

If you have values for the true measurement, please share them for a clearer calculation.