Question

A research student measured the age of an ice layer at 70 m depth as 425 years. The accepted value reported is 427 years. What is the percent error of students value?

Answer 1

Answer:

0.47%.

Step-by-step explanation:

We have been given that a research student measured the age of an ice layer at 70 m depth as 425 years. The accepted value reported is 427 years.

We will use error percent formula to solve our given problem.

$\text{Error percentage}=\frac{|\text{Approx value}-\text{Exact value}|}{\text{Exact value}}\times 100$

$\text{Error percentage}=\frac{|425-427|}{427}\times 100$

$\text{Error percentage}=\frac{|-2|}{427}\times 100$

$\text{Error percentage}=\frac{2}{427}\times 100$

$\text{Error percentage}=0.0046838407494145\times 100$

$\text{Error percentage}=0.46838407494145$

Rounding to two decimal places:

$\text{Error percentage}\approx 0.47$

Therefore, the percent error of students value is approximately 0.47%.