(a)The actual height of the building is 107.23 m.
(b)The actual height of the building is 106.62 m.
2.A ruler with scale marked at 1 mm per division is used to measure the length of a pencil to be 128 mm.
(a)Find, for the measured length, the maximum error.
(b)If the actual length of the pencil is L mm, find the range of values of L.
3.The weight of Judy is measured as 43.0 kg, correct to the nearest 0.5 kg. For the measured weight, find
(a)the relative error,
(b)the percentage error, correct to 2 significant figures.
4.The weight of a canera is 1.25 kg, correct to the nearest 10 kg. Find
(a)the relative error,
(b)the percentage error.
5.The measured diameter of a circcle is 8.6 cm, correct to 2 significant figures.
(a)Calculate the circumference of the circle.
(b)Find the maximum error of the circumference obtained in (a).
6.The side of a square is measured as 10.4 cm, correct to the nearest 0.2 cm.
(a)Calulate the area of the square.
(b)Find the maximum error of the area obtained in (a).
7.In the expression 43.7 x 48.4/2.236,round off each of the numbers to 1significant figure and estimate the value if the expression.
8.The weight of a gold coin is 34.52 g. It is known that 1 oz of gold is worth $8382, and 1 oz is equal to 28.35 g.
(a)Round off the above three numbers to 2 significant figures and estimate the value of the gold coin.
(b)Calculate the value of the gold coin correct to 4 significant figures.
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