Number of Significant Figures in Result of Addition or Subtraction/Examples/47.816 - 25
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Example of Use of Number of Significant Figures in Result of Addition or Subtraction
- $47 \cdotp 816 - 25 = 22 \cdotp 816$
on the assumption that $25$ is exact.
Proof
We have that:
- the least significant digit $d_m$ of $47 \cdotp 816$ is the $10^{-3}$ position
- the least significant digit $d_n$ of $25$ is the $10^{-\infty}$ position.
So from Number of Significant Figures in Result of Addition or Subtraction:
- the least significant digit of $47 \cdotp 816 - 25$ is the greater significant digit of $10^{-3}$ and $10^{-\infty}$, that is $10^{-3}$.
\(\ds 47 \cdotp 816 - 25\) | \(=\) | \(\ds 22 \cdotp 816\) | by calculation | |||||||||||
\(\ds \) | \(=\) | \(\ds 22 \cdotp 816\) | to the nearest $10^{-3}$ |
$\blacksquare$
Sources
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Computations: Example 3.