數學題[10分]

(1)Find
(i)the maximum error of the thickness of a piece of paper

As the thickness for 500 pieces is correct to the nearest mm
so the maximum error of the thickness of 500 pieces of paper is 0.5mm
hence the maximum error of the thickness of a piece of paper is
error of total number of paper / number of paper
= 0.5/500
= 0.001 mm

(ii)the thickness of each piece of paper

58/500 = 0.116
so the thickness of each piece of paper is 0.116mm

(iii)the percentage error,correct to the nearest 0.1%

the percentage error = error/measurement *100% = 0.001/0.116 * 100%
= 0.862%

(2)Will he get a larger or smaller error if he uses less pieces of paper?

when less pieces of paper is used, as the measurement error remain unchange = 0.5mm
the error for a piece of paper =
error of total number of paper / number of paper
will then increase.

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