- #1

- 624

- 11

## Homework Statement

I am given some results of certain experiments with errors and I need to rewrite them correctly in term of significant digits.

## Homework Equations

The professor explained to us that, for example, 1.12345 ± 0.5231 is not correct (or at least not the right way) because you already have an error on the first digit after . so adding more digits make no sense, so I should rewrite this as 1.1 ± 0.5 (or in some cases 1.12 ± 0.52).

## The Attempt at a Solution

4.12734 ± 1.357 --- 4.1 ± 1.4

4.12734 ± 0.0487 --- 4.13 ± 0.05

0.4321273 ± 0.00169 --- 0.4321 ± 0.0017

0.002163 ± 0.00032 --- 0.0022 ± 0.0003

304479 ± 791 --- 3.045e5 ± 800

728 ± 0.422 --- 728.0 ± 0.4

511.24 ± 2.721 --- 511 ± 3

383 ± 61.32 --- 383 ± 61

987.12 ± 62.57 --- 987 ± 63

6974.12734 ± 487 --- 6970 ± 490

123456789 ± 2344 --- 1.23456e8 ± 2000

0.000002723 ± 0.000000317 --- 2.7e-6 ± 3e-7

12.4 ± 7.2 --- 12.4 ± 7.2

These are the ones we have to rewrite and on the right of --- is my solution. Is it correct? I am a bit confused especially about the ones with big numbers and errors of order of 10^2. Thank you[/B]