標題:
發問:
Find the maximun absolute error and relative error,in form of 1/n,of each of the following values. 1) 2.5cm (corr. to the nearest 0.1 cm) 2) 400m (corr. to the nearest 10 m) 3) $25000 (corr. to 2sig.fig.) 4) 16.7cm (corr. to 3 sig.fig) 5) 1.630g (corr. to 4 sig.fg)
最佳解答:
1) 2.5cm (corr. to the nearest 0.1 cm) maximun absolute error = 1/2×correct to the nearest = 1/2×0.1 cm = 0.05cm relative error = maximun absoulte error / measured value = 0.05/2.5 = 1/50 2)400m (corr. to the nearest 10 m) maximun absolute error = 1/2×10 m = 5m relative error = 5/400 = 1/80 3) $25000 (corr. to 2sig.fig.) maximun absolute error = 1/2×$1000 = $500 relative error = 500/25000 = 1/50 4) 16.7cm (corr. to 3 sig.fig) maximun absolute error = 1/2×0.1cm = 0.05cm relative error = 0.05/16.7 = 5/1670 = 1/334 5) 1.630g (corr. to 4 sig.fg) maximun absolute error = 1/2×0.001g = 0.0005g relative error = 0.0005/1.630 = 1/3260
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easy F.2 math plz help quick發問:
Find the maximun absolute error and relative error,in form of 1/n,of each of the following values. 1) 2.5cm (corr. to the nearest 0.1 cm) 2) 400m (corr. to the nearest 10 m) 3) $25000 (corr. to 2sig.fig.) 4) 16.7cm (corr. to 3 sig.fig) 5) 1.630g (corr. to 4 sig.fg)
最佳解答:
1) 2.5cm (corr. to the nearest 0.1 cm) maximun absolute error = 1/2×correct to the nearest = 1/2×0.1 cm = 0.05cm relative error = maximun absoulte error / measured value = 0.05/2.5 = 1/50 2)400m (corr. to the nearest 10 m) maximun absolute error = 1/2×10 m = 5m relative error = 5/400 = 1/80 3) $25000 (corr. to 2sig.fig.) maximun absolute error = 1/2×$1000 = $500 relative error = 500/25000 = 1/50 4) 16.7cm (corr. to 3 sig.fig) maximun absolute error = 1/2×0.1cm = 0.05cm relative error = 0.05/16.7 = 5/1670 = 1/334 5) 1.630g (corr. to 4 sig.fg) maximun absolute error = 1/2×0.001g = 0.0005g relative error = 0.0005/1.630 = 1/3260
其他解答:
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