there are 118 different elements in the periodic table. while giving a presentation, clark says that there…

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.

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.

Answer

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%