Calculate the percent error of a student's measurement if she found the experimental value of the volume of one quart of water to be equal to 929 mL.



To calculate the percent error, use the following formula:

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

Here:
- The **experimental value** is \( 929 \, \text{mL} \).
- The **true value** is \( 1 \, \text{quart} \), which equals \( 946.353 \, \text{mL} \).

Now, substituting these values into the formula:

\[
\text{Percent Error} = \left( \frac{|929 - 946.353|}{946.353} \right) \times 100
\]

Let's calculate that.

\[
\text{Percent Error} = \left( \frac{17.353}{946.353} \right) \times 100 \approx 1.833\%
\]

So, the percent error is approximately **1.83%**.

Would you like more details or have any questions? Here are some related questions:

1. How do we convert quarts to milliliters accurately?
2. What does a small percent error indicate in an experiment?
3. How can one improve experimental accuracy in volume measurements?
4. Can percent error ever be negative, and why?
5. How do we calculate percent difference between two experimental values?

**Tip:** Always double-check unit conversions in experimental measurements to minimize errors.

Calculate the percent error of a student's measurement if she found the experimental value of the volume of one quart of water to be equal to 929 mL.

Find out how to calculate the percent error for a student's volume measurement, where the experimental value is 929 mL and the true value is 1 quart (946.353 mL). This tutorial covers key math concepts like percent error and unit conversion, suitable for students in Grades 8-10.

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