Question

Carry out these operations as if they were calculations of experimental results and express each answer in the correct units and with the correct number of significant figures.

2 x10^3g + 73.49g/0.009 cm^3-0.003 = g/cm^3

Answer 1

2×10^3 ,(73.49/0.009),0.003 all sholud have same unit to be added or substracted.

As the result is in unit of g/cm^3 So all the individuals wiil have the same unit.

2×10^3 ,(73.49/0.009),0.003 all will have g/cm^3 unit

2×10^3 is having one significant figure which is 2

73.49/0.009=8.16555 × 10^3 = 8.20 ×10^3

As,as the least quantity is with 2 digit uncertainity So,the result will contain uncertainity with 2 digit .

the no. of significant figure in result = ( no.of least significant figure + 1) = (1+1)=2

2×10^3 g/cm^3 +8.20×10^3 g/cm^3 -3×10^-3 g/cm^3 = (2000+8200-0.003) g/cm^3 = 10199.997 g/cm^3

result should be uncertain at 0 decimal place as here quantity with least decimal place = 0 that is no decimal position is present .

so result = 10200 g /cm^3