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標題:
中二程度數學量度難題
發問:
Mary uses a ruler with 0.5cm scale interval to measure the dimensions of a rectangle. The results are as follows: length = 7.5cm and width = 5.5cm.Find the accumulated percentage errors in calculating in the area.(Give the answer correct to 2 sig. fig.)答案係8.0% (correct to 2 sig. fig.)，但係我計唔到，唔該巴打幫手列式同寫明步驟... 顯示更多 Mary uses a ruler with 0.5cm scale interval to measure the dimensions of a rectangle. The results are as follows: length = 7.5cm and width = 5.5cm. Find the accumulated percentage errors in calculating in the area. (Give the answer correct to 2 sig. fig.) 答案係8.0% (correct to 2 sig. fig.)，但係我計唔到，唔該巴打幫手列式同寫明步驟...
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中二程度數學量度難題
發問:
Mary uses a ruler with 0.5cm scale interval to measure the dimensions of a rectangle. The results are as follows: length = 7.5cm and width = 5.5cm.Find the accumulated percentage errors in calculating in the area.(Give the answer correct to 2 sig. fig.)答案係8.0% (correct to 2 sig. fig.)，但係我計唔到，唔該巴打幫手列式同寫明步驟... 顯示更多 Mary uses a ruler with 0.5cm scale interval to measure the dimensions of a rectangle. The results are as follows: length = 7.5cm and width = 5.5cm. Find the accumulated percentage errors in calculating in the area. (Give the answer correct to 2 sig. fig.) 答案係8.0% (correct to 2 sig. fig.)，但係我計唔到，唔該巴打幫手列式同寫明步驟...
最佳解答:
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Maximum error for the ruler = 0.5cm/2 = 0.25cm Possible range of the length = 7.5 +/- 0.25cm or 7.25 to 7.75cm Possible range of the width = 5.5 +/- 0.25 cm or 5.25 to 5.75 cm Measured area = 7.5 * 5.5 = 41.25cm2 Minimum possible area = 7.25 x 5.25 = 38.0625cm2 Maximum possible area = 7.75 x 5.75 = 44.5625cm2 Accumulative percentage error on min side = (41.25 - 38.0625)/41.25 * 100% = 7.7% Accumulative percentage error on max side = (44.5625 - 41.25)/41.25 * 100% = 8.0% Therefore accumulative percentage error = 8.0%其他解答:
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