Number of Significant Figures in Result of Division/Examples/1.648 over 0.023

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Example of Use of Number of Significant Figures in Result of Division

$\dfrac {1 \cdotp 648} {0 \cdotp 023} = 72$


Proof

We have that:

the number of significant figures $d_m$ in $1 \cdotp 648$ is $4$
the number of significant figures $d_n$ in $0 \cdotp 023$ is $2$


So from Number of Significant Figures in Result of Division:

the number of significant figures in $\dfrac {1 \cdotp 648} {0 \cdotp 023}$ can be no more than $\min \set {4, 2}$, that is $2$.


\(\ds \dfrac {1 \cdotp 648} {0 \cdotp 023}\) \(=\) \(\ds 71 \cdotp 652 \ldots\) by calculation
\(\ds \) \(=\) \(\ds 72\) to $2$ significant figures

$\blacksquare$


Sources