Quotients significant figures

Count the number of significant figures in the numerator and in the denominator the smaller of these two numbers is the number of significant figures in the quotient 

Divide the first dividend by the first trial divisor, and the first significant figure in the quotient will be the second significant of the root. Thus starting from the old equation (1), whose root-we know to be about 1. 

Multiplication and division The product or quotient can have no more significant figures than the number with the smallest number of significant figures used in the calculation. 

Multiplication or division. The product or quotient should be rounded off to the same number of significant figures as the least accurate number involved in the calculation. Thus, 0.00296 x 5845 = 17.3, but 0.002960 x 5845 = 17.30. However, this rule should be applied with some discretion. For example, consider the following multiplication  

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