標題:
Approximation and Errors(急急急!)
發問:
The approximate height of two boxes are 25 and 48 kg ,correct to nearest kg. 1.Find the percentage error of the two measurements. 2.What is the maximum error of 25*48? 3.Find the percentage error of 25*48. Steps and explanations pls,thank you!!!
最佳解答:
Max. Absolute Error = 1/2 = 0.5 kg. (1) % error of 25 kg = 0.5/25 x 100% = 2% % error of 48 kg = 0.5/48 x 100% = 1.042% (2) Range of 25 kg box is 24.5 to 25.5 kg Range of 48 kg box is 47.5 to 48.5 kg Taking the upper limit 25.5 x 48.5 = 1236.75 Taking the lower limit 24.5 x 47.5 = 1163.75 1236.75 - 25 x 48 = 36.75 1163.75 - 25 x 48 = - 36.25 So max. error of 25 x 48 = 36.75 (3) % error of 25 x 48 = 36.75/(25 x 48) x 100% = 3.0625%
Approximation and Errors(急急急!)
發問:
The approximate height of two boxes are 25 and 48 kg ,correct to nearest kg. 1.Find the percentage error of the two measurements. 2.What is the maximum error of 25*48? 3.Find the percentage error of 25*48. Steps and explanations pls,thank you!!!
最佳解答:
Max. Absolute Error = 1/2 = 0.5 kg. (1) % error of 25 kg = 0.5/25 x 100% = 2% % error of 48 kg = 0.5/48 x 100% = 1.042% (2) Range of 25 kg box is 24.5 to 25.5 kg Range of 48 kg box is 47.5 to 48.5 kg Taking the upper limit 25.5 x 48.5 = 1236.75 Taking the lower limit 24.5 x 47.5 = 1163.75 1236.75 - 25 x 48 = 36.75 1163.75 - 25 x 48 = - 36.25 So max. error of 25 x 48 = 36.75 (3) % error of 25 x 48 = 36.75/(25 x 48) x 100% = 3.0625%
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