Question

there are 118 different elements in the periodic table. while giving a presentation, clark says that there are 128 different elements. what is the percent error in clarks estimate? round to the nearest tenths percent.

Explanation:

Step1: Calculate the error

The actual number of elements is 118 and the estimated number is 128. The error is $|128 - 118|=10$.

Step2: Calculate the percent - error formula

The percent - error formula is $\text{Percent Error}=\frac{\text{Error}}{\text{Actual Value}}\times100\%$. Substitute the error (10) and the actual value (118) into the formula: $\text{Percent Error}=\frac{10}{118}\times100\%$.

Step3: Calculate the result

$\frac{10}{118}\times100\%=\frac{1000}{118}\% \approx 8.5\%$.

Answer:

8.5%