reallyif you are relying on this last decimal placeyou are doing it wrong not all imprecision is overt some of it can creep up on you computers work in base they can store numbers like / and / exactly but they cannot store numbers like / exactlyjust like we can' represent / exactly in decimal expansion the errors in storing / are small enoughthoughthat they are invisible at first howeverif they accumulate they become large enough to show through reallydon' depend on precise values