- #1
Silviu
- 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 ± 1.44.12734 ± 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]