A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.
661.8 g
Significant Figures Addition Steps
To find the sum of masses using significant figures rules for addition, follow these steps:
Given Mass Measurements
- Mass 1: 435.42 g (2 decimal places)
- Mass 2: 226.3 g (1 decimal place)
- Mass 3: 0.125 g (3 decimal places)
Step 1: Perform Addition
Add the numerical values directly:
$ 435.42 + 226.3 + 0.125 = 661.845 $
The sum is 661.845 g.
Step 2: Determine Decimal Places
The rule for addition dictates that the result should retain the least number of decimal places present in the original measurements.
- 226.3 g has the fewest decimal places: 1.
Step 3: Round the Sum
Round the calculated sum (661.845 g) to 1 decimal place.
The digit in the second decimal place is 4. Since 4 is less than 5, round down.
Result: 661.8 g
Conclusion
The addition of the masses, considering significant figures, is 661.8 g.
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Important Questions from Mechanics
Match the LIST-I with LIST-II
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The angle of projection of a particle is measured from the vertical axis as $\phi$ and the maximum height reached by the particle is $h_m$. Here $h_m$ as function of $\phi$ can be presented as
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