Final answer:
Camden's measurement had a percent error of 1.2%, which was calculated by dividing the absolute error of 0.1 inches by the actual length of 8.6 inches and multiplying by 100.
Step-by-step explanation:
To calculate the percent error of Camden's measurement, we will use the formula for percent error which is given by the absolute value of the error divided by the actual length, multiplied by 100 to get the percentage. The error is the difference between the measured value and the actual value. In this case, the error is 8.7 inches (measured) minus 8.6 inches (actual), which is 0.1 inches.
Here is the step-by-step calculation:
Subtract the actual length from the measured length to find the error: 8.7 inches - 8.6 inches = 0.1 inches.
Divide the error by the actual length: 0.1 inches / 8.6 inches = 0.0116279...
Multiply the result by 100 to convert it to a percent: 0.0116279... × 100 ≈ 1.2%
Therefore, Camden's percent erroris approximately 1.2% to the nearest tenth of a percent.