The mass of maize flour to the nearest 10 grams is 8. 67kg.Determine the percentage error in
this measurement. (3marks)
To determine the percentage error, we need to calculate the absolute error and then divide it by the measured value (8.67kg) and multiply by 100.
Absolute error = measured value - actual value
Since the actual value is not given, we will assume that the actual value is the nearest possible value to the measured value, which would be 8.665kg (since the digit after the tenths place is 7, which is equal to or greater than 5).
Absolute error = 8.67kg - 8.665kg = 0.005kg
Percentage error = (Absolute error / Measured value) x 100
= (0.005kg / 8.67kg) x 100 ≈ 0.0576 x 100 ≈ 5.76%
Therefore, the percentage error in this measurement is approximately 5.76%.
To determine the percentage error in the measurement, we need to compare the actual value with the measured value.
Given:
Measured mass of maize flour = 8.67 kg
To calculate the percentage error, we need to know the actual value. Let's assume the actual mass of maize flour is 8.7 kg.
Step 1: Calculate the difference between the actual and measured values:
Difference = Actual value - Measured value
Difference = 8.7 kg - 8.67 kg
Difference = 0.03 kg
Step 2: Calculate the percentage error:
Percentage Error = (Difference / Actual value) * 100
Percentage Error = (0.03 kg / 8.7 kg) * 100
Percentage Error ≈ 0.3448 %
Therefore, the percentage error in this measurement is approximately 0.3448%.