Question

Rewrite the number 3.12356(+-0.16789%) in the form: number (+-absolute uncertainty)

Answer 1

The number can be rewritten in the form of "number (+-absolute uncertainty)" as follows:

3.12356 (+-0.00525)

Here's how this is determined:

1. First, calculate the absolute uncertainty based on the percentage given. The absolute uncertainty is calculated as follows:

\[
\text{Absolute uncertainty} = \text{Number} \times \left( \frac{\text{Percentage uncertainty}}{100} \right)
\]

Given:
- Number = 3.12356
- Percentage uncertainty = 0.16789%

Calculate:
\[
\text{Absolute uncertainty} = 3.12356 \times \left( \frac{0.16789}{100} \right) \approx 0.00525
\]

2. Thus, the final representation is:
\[
3.12356 (+-0.00525)
\]