Question

Saeed is estimating the height of his office building. The actual height of his office building is 12.2 m . Saeed's estimate is 13 m .

Find the absolute error and the percent error of Saeed's estimate. If necessary, round your answers to the nearest tenth.

absolute error =

percent error =

Answer 1

The absolute error in Saeed's estimate is 0.8 m, and the percent error is approximately 6.6% when rounded to the nearest tenth.

Step-by-step explanation:

The student is asked to find both the absolute error and the percent error of Saeed's estimate of the height of his office building.

To find the absolute error, we subtract the actual value from the estimated value:
Absolute error = |Estimated value - Actual value| = |13 m - 12.2 m| = |0.8 m| = 0.8 m.

To find the percent error, we use the formula Percent error = (Absolute error / Actual value) × 100%.
Percent error = (0.8 m / 12.2 m) × 100% ≈ 6.6%.

Thus, the absolute error is 0.8 m and the percent error, rounded to the nearest tenth, is 6.6%.