How to avoid rounding error

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

Answer 1

[Chris]

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