The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm respectively. The area of the sheet inappropriate significant figures and error is:
a) 164 ± 3 b) 163.62 ± 2.6 c) 163.6 ± 2.6 d) 163.62 ± 3 The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm respectively. The area of the sheet inappropriate significant figures and error is:
a) 164 ± 3 b) 163.62 ± 2.6 c) 163.6 ± 2.6 d) 163.62 ± 3 Correct answer is a) 164 ± 3 Error in product of quantities: Suppose Let, be the absolute error in measurement of a, be the absolute error in measurement of b, be the absolute error in calculation of , i.e. product of a and b.

The maximum fractional error in can be calculated as, .

Percentage error in the value of is given as the sum of Percentage error in value of a and Percentage error in value of b

According to the given question, length is Breadth is Area will be According to the norm, the area will only have three significant figures, while the error will only have one significant figure. We receive area as a result of rounding off. If is error in the area, then relative error is calculated as .    (By rounding off to one significant figure)
Area, 