Number of Significant Figures in Result of Multiplication/Examples/73.24 x 4.52

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

$73 \cdotp 24 \times 4 \cdotp 52 = 331$


Proof

We have that:

the number of significant figures $d_m$ in $73 \cdotp 24$ is $4$
the number of significant figures $d_n$ in $4 \cdotp 52$ is $3$


So from Number of Significant Figures in Result of Multiplication:

the number of significant figures in $73 \cdotp 24 \times 4 \cdotp 52$ can be no more than $\min \set {3, 4}$, that is $3$.


\(\ds 73 \cdotp 24 \times 4 \cdotp 52\) \(=\) \(\ds 331 \cdotp 0448\) by calculation
\(\ds \) \(=\) \(\ds 331\) to $3$ significant figures

$\blacksquare$


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