If one measurement is known much more precisely than the other, the fractional error is the ratio of the absolute value of the difference (|M1-M2|), and the more accurate value. What is the percentage error of student A's measurement (37.2 cm long if it is determined by examination of the manufacture's specification that the laptop is actually 37.000 cm long? And the percentage error of student B laptop measurement is 36.7cm.
100 * .2/37
100 * .3/37
To calculate the percentage error, we can use the formula:
Percentage error = (Absolute value of the difference / More accurate value) x 100
For student A's measurement, the more accurate value is given as 37.000 cm, and the measured value is 37.2 cm.
Absolute value of the difference = |37.2 cm - 37.000 cm| = 0.2 cm
Percentage error for student A = (0.2 cm / 37.000 cm) x 100
For student B's laptop measurement, the more accurate value is not given, so we cannot calculate the percentage error without knowing the reference value.
Hope this helps!
To calculate the percentage error, we first need to find the absolute value of the difference between each measurement and the actual value.
For student A:
Absolute difference = |37.2 cm - 37.000 cm| = 0.2 cm
To find the percentage error, we divide the absolute difference by the more accurate value (37.000 cm) and multiply by 100:
Percentage error = (0.2 cm / 37.000 cm) * 100 = 0.54%
So, the percentage error of student A's measurement is 0.54%.
For student B:
Absolute difference = |36.7 cm - 37.000 cm| = 0.3 cm
To find the percentage error, we divide the absolute difference by the more accurate value (37.000 cm) and multiply by 100:
Percentage error = (0.3 cm / 37.000 cm) * 100 = 0.81%
So, the percentage error of student B's measurement is 0.81%.