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