Question

wilma was assigned to determine the density of nickel. she reported the density of nickel was 5.59g/ml. the actual density is 6.44g/ml. what is the percent error?

Explanation:

Step1: Find the absolute error

The formula for absolute error is \(|\text{Experimental Value}-\text{Actual Value}|\).
Here, the experimental value is \(5.59\ \text{g/mL}\) and the actual value is \(6.44\ \text{g/mL}\).
So, the absolute error \(=|5.59 - 6.44|= 0.85\ \text{g/mL}\)

Step2: Calculate the percent error

The formula for percent error is \(\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\)
Substitute the values: \(\frac{0.85}{6.44}\times100\% \)
\(\frac{0.85\times100}{6.44}\%=\frac{85}{6.44}\% \approx 13.2\%\)

Answer:

\(13.2\%\)