function rem issue with exact result

sometimes the function rem does not return the exact solution. For example rem(135.01,100) does not return 35.01 but it returns 35.009999999999991 (visible when format is changed to long). Can anyone tel me why !? and how to fix it !?

[Stephen23]

The decimal value 135.01 cannot be stored exactly in binary, just in the same way that 1/3 cannot be written exactly using decimal digits. Have a look at it in more detail:

 >> fprintf('%.30f\n',135.01)
 135.009999999999990000000000000000

Read Steven Lord's answer, it tells you what is going on.

Answer 1

[Steven Lord]

Floating point arithmetic.