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Question -

The mass of a box measured by a grocer’s balance is 2.300 kg. Twogold pieces of masses 20.15 g and 20.17 g are added to the box. What is (a) thetotal mass of the box, (b) the difference in the masses of the pieces tocorrect significant figures?



Answer -

Mass of grocer’s box = 2.300 kg

Mass of gold piece I =20.15g = 0.02015 kg

Mass of gold piece II =20.17 g = 0.02017 kg

(a) Total mass of the box = 2.3 + 0.02015 + 0.02017 = 2.34032 kg

In addition, the final result should retain as many decimal placesas there are in the number with the least decimal places. Hence, the total massof the box is 2.3 kg.

(b) Difference in masses = 20.17 – 20.15 = 0.02 g

In subtraction, the final result should retain as many decimalplaces as there are in the number with the least decimal places.

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