Question 51: Units , Dimensions and Error Analysis

Question

A person measures mass of 3 different particles as $435.42 \mathrm{~g}, 226.3 \mathrm{~g}$ and 0.125 g . According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.

Accepted Answer

To calculate the total mass of the three particles, we perform the following addition:
$ \begin{aligned} & m_1 + m_2 + m_3 = 435.42 \, 	ext{g} + 226.3 \, 	ext{g} + 0.125 \, 	ext{g} \end{aligned} $
When adding numbers, the result should be reported with the same number of decimal places as the measurement with the fewest decimal places. Here, the second measurement (226.3 g) has only one decimal place, which is the fewest among the given values.
Thus, according to the rules for significant figures in addition, the sum should be rounded to one decimal place:
$ \begin{aligned} & 	ext{Total mass} = 661.8 \, 	ext{g} \end{aligned} $

Answer

661.845 g

Answer

661.84 g

Answer

662 g

Answer

661.8 g

Units , Dimensions and Error Analysis

A person measures mass of 3 different particles as 435.42 \mathrm{~g}, 226.3 \mathrm{~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.

Choose the correct answer: