My question regards best practices to minimise rounding errors in computer calculations.
In my Numerical Methods course I have been taught that the size of memory (presumably RAM) Matlab uses during computation is significantly larger than the size of storage memory used for storing variables. When dealing with division of long expressions we are encouraged to divide them up in nominator and denominator variables for readability. Does this mean that between thes two $$V=f(x)/g(x);$$ and $$ W=f(x), Z=g(x);$$$$ Y=W/Z $$ $Y$ has more of a rounding error because it uses storage while $V$ only uses RAM memory during computation?