Ryan estimates the measurement of the volume of a popcorn container to be 282 cubic inches. The actual volume of the popcorn container is 289 cubic inches. What is the relative error of ryan's measurement to the nearest thousandth?
(289-282)/289, expressed as a decimal to three places.
That would be 0.024
You could put a minus sign in front of it to show it was lower than the true value, but that usually is not done.
To find the relative error, we need to first calculate the absolute error, which is the difference between Ryan's estimate and the actual volume:
Absolute Error = |Actual Volume - Ryan's Estimate|
Absolute Error = |289 - 282|
Absolute Error = 7
Then, we can calculate the relative error by dividing the absolute error by the actual volume and multiplying it by 100:
Relative Error = (Absolute Error / Actual Volume) * 100
Relative Error = (7 / 289) * 100
Relative Error ≈ 2.423%
Therefore, the relative error of Ryan's measurement to the nearest thousandth is approximately 2.423%.