Significant Figures Rounding Formula
Significant Figures Rounding Formula
\[x_r = \frac{\text{floor}\left(x \cdot 10^{n-1-\text{floor}(\log_{10}(\text{absoluto}(x)))}\right)}{10^{n-1-\text{floor}(\log_{10}(\text{absoluto}(x)))}}\]
Variables
x = input number
xR = rounded number
n = number of significant figures
Description
What is this formula?
This formula rounds a number to a specified number of significant figures using logarithmic scaling.
When to use it
Use it in scientific calculations where precision must be controlled and normalized across different magnitudes.
Example
Data:
x = 0.004567
n = 2
Formula:
Apply significant figure scaling using logarithm and floor operations.
Result:
xR = 0.0046
Applications
Used in engineering, chemistry, physics, and numerical analysis.
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