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The mass of a box measured by a grocer’s balance is 2.30 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. What is (a) the total mass of the box, (b) the difference in the masses of the pieces to correct significant figures ?

Q 2.12: The mass of a box measured by a grocer’s balance is 2.30 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. What is (a) the total mass of the box, (b) the difference in the masses of the pieces to correct significant figures?

Answers (2)
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S safeer

(b) 

The difference in the masses of the pieces = 20.17 - 20.15 = 0.02 g (which has only one significant digit !)

Since two is the least number of decimal places, the total mass = 0.02 g.

S safeer

Given,

The mass of the box = 2.30 kg 

and the mass of the first gold piece = 20.15 g = 0.02015 kg 

The mass of the second gold piece = 20.17 g = 0.02017 kg 

(a)  The total mass = 2.30 + 0.02015 + 0.02017 = 2.34032 kg

Since one is the least number of decimal places, the total mass = 2.3 kg.

(Note: For addition/subtraction, the number of places after the decimal point in the answer is less than or equal to the number of decimal places in every term in the sum; i.e decided by the numbers after the decimal.)

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