Evaluate sqrt{6.5 - 6.32} considering the rul | vedclass

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Question

(B) First,perform the subtraction inside the square root: $6.5 - 6.32 = 0.18$.According to the rules of significant figures for subtraction,the result

Vedclass · Accepted Answer

$0.42$

Vedclass · Answer

(B) First,perform the subtraction inside the square root: $6.5 - 6.32 = 0.18$.According to the rules of significant figures for subtraction,the result should have the same number of decimal places as the measurement with the fewest decimal places. Here,$6.5$ has one decimal place,so the result $0.18$ should be rounded to one decimal place,which is $0.2$.However,if we perform the calculation as $\sqrt{0.18} \approx 0.42426...$,we must apply the rules of significant figures to the final result.The number $0.18$ has two significant figures. Therefore,the final result should be rounded to two significant figures.Rounding $0.42426...$ to two significant figures gives $0.42$.

Evaluate $\sqrt{6.5 - 6.32}$ considering the rules of significant figures.

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