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Question 31

How many significant figures should be present in the answer of the following calculations?

(i) 

 

(ii) 5 × 5.364

 

(iii) 0.0125 + 0.7864 + 0.0215

Answer

Rules for determining the significant figures

In addition or subtraction of the numbers having different precisions, the final result should be reported to the same number of decimal places as in the term having least number of decimal places



 

(i) = 1.648

 

Least precise number of calculation = 298.15

Number of significant figures in the answer

= Number of significant figures in the least precise number = 2 i.e 1.65

 

(ii) 5 × 5.364 = 26.820

Least precise number of calculation = 5.364

Number of significant figures in the answer = Number of significant figures in 5.364 = 3 i.e 26.820

 

(iii) 0.0125 + 0.7864 + 0.0215 = 0.8204

Since the least number of decimal places in each term is four, the number of significant figures in the answer is also 4 i.e 0.8204

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