How to avoid rounding error

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Jiapeng
Jiapeng on 17 Sep 2022
Edited: Chris on 17 Sep 2022
If I want to get the value of sqrt(10001),and it should to be 100.00499...
However, MATLAB shows 100.005.
How should I write the code to get 100.00499...
THANK YOU

Accepted Answer

Chris
Chris on 17 Sep 2022
Edited: Chris on 17 Sep 2022
Matlab is simply truncating the displayed value for ease of reading.
format longG
sqrt(10001)
ans =
100.004999875006
In both cases, the actual value matlab holds in memory is within +/- epsilon of the true value. Epsilon can be calculated like so:
eps(sqrt(10001))
ans =
1.4210854715202e-14

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