The number of significant figures in the simp | vedclass

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Question

(A) Step $1$: Perform the subtraction inside the parentheses. $0.312 - 0.03 = 0.282$. According to the rules of significant figures for subtraction,th

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Step $1$: Perform the subtraction inside the parentheses. $0.312 - 0.03 = 0.282$. 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,$0.03$ has two decimal places,so the result $0.282$ is rounded to $0.28$ (two decimal places).Step $2$: Perform the division. $\frac{0.501}{0.05} = 10.02$.Step $3$: Multiply the results. $10.02 	imes 0.28 = 2.8056$.Step $4$: Apply the rules for multiplication. The result should have the same number of significant figures as the measurement with the fewest significant figures. $0.05$ has $1$ significant figure,and $0.28$ has $2$ significant figures. Therefore,the final result should be rounded to $1$ significant figure. Thus,the number of significant figures is $1$.

The number of significant figures in the simplification of $\frac{0.501}{0.05}(0.312-0.03)$ is

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