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標題:

Error & Estimation

發問:

A piece of wire 2.5 m long correct to the nearest 0.1 m is cut into small pieces of 5 cm. long correct to the nearest cm. Can we get 44 pieces small wire after cutting? Please explain your answer.

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最佳解答:

A piece of wire 2.5 m long correct to the nearest 0.1 m: 2.45m < or = 2.5m < or = 2.54m (correct to the nearest 0.1 m) Using the smallest wire above for calculation: 2.45*100 =245cm Wire cut into small pieces of 5 cm. long correct to the nearest cm: 4.5cm < or = 5cm < or = 5.4cm Using the largest wire after cutting it above for calculation: 245/5.4 =45 pieces (correct to nearest integer) 45 pieces small wire > 44 pieces small wire Therefore, we can get 44 pieces small wire after cutting. 2014-06-08 18:15:16 補充: 2.45m < or = wire < or = 2.54m 4.5cm < or = small pieces of wire < or = 5.4cm 2014-06-08 18:38:03 補充: 2.45m ≤ Actual value of the wire's length ≤ 2.54m 4.5cm ≤ Actual value of small pieces of wire's length ≤ 5.4cm

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