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F.1 Maths

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1)Mandy measures that a pack of A4 paper (with 500 pieces inside) is 48 mm thick, and the relative error is 1/240. Find the range of thickness of each piece of paper.

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Thickness of each paper based on the measured value = 48 / 500 = 0.096 mm Maximum absolute error = Measured value X relative error = 0.096 X 1 / 240 = 0.0004 Therefore, upper limit of the thickness of a piece of paper = 0.096 + 0.0004 = 0.0964 mm Lower limit of the thickness of a piece of paper = 0.096 - 0.0004 = 0.0956 mm So, the range of thickness of each piece of paper is 0.0956 mm ~ 0.0964 mm.

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