# A student measures the mass of a sample as 9.67 g. What is the percent error, given that the correct mass is 9.82 g?

Dec 5, 2015

1.53%

#### Explanation:

Percent error is defined as the absolute value of the difference between the experimental value and the exact value, divided by the exact value and multiplied by $100$

$\textcolor{b l u e}{\text{% error" = ( |"experimental value" - "exact value"|)/"exact value} \times 100}$

In your case, the experimental mass of the sample is said to be equal to $\text{9.67 g}$. The exact value is $\text{9.82 g}$. This means that the percent error for this measurement is

"% error" = ( | 9.67 color(red)(cancel(color(black)("g"))) - 9.82 color(red)(cancel(color(black)("g")))|)/(9.82 color(red)(cancel(color(black)("g")))) xx 100

"% error" = color(green)(1.53%)