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
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Computations: Example 2.