Amoral [Greek ά (without) and Latin mos, moris (custom, habit, morals)].
The moral of a story teaches us a good lesson. From the moral, we learn the right thing to do. If we are amoral, we are without standards. We do not care about right and wrong.
Sometimes the literal meaning of a word sheds light on the current meaning. Sometimes it doesn’t. This time… it does.
Amoral, broken down, literally means: without morals.
The modern meaning is essentially the same.
Amoral: to lack morals; to have no moral standards.
Example (From Dictionary.com): “Evolution teaches us that nature is heartless, amoral, completely unconcerned with if humanity survives or passes.”