As soon as Tom is introduced to the story, he immediately appears to have a supercilious tone and manner about him. One gets the impression that he has no regard for anything or anybody but himself. This disregard becomes blatantly apparent to the reader as his affair with Myrtle Wilson is revealed. In this situation, his uncaring nature becomes obvious when he slaps Myrtle, without considering Mr. Wilson's reaction to the discovery of her broken nose. Also, Tom's carelessness and lack of empathy are reflected in his reaction to finding out that Myrtle was hit by Gatsby's car. Rather than inquiring about Myrtle's condition or trying to console Mr. Wilson, it becomes apparent that Tom's only concern is to clear his name. He also shows his uncaring as he crushes Gatsby's dreams in the hotel room by revealing Gatsby's true identity and profession. It is obvious Tom cares only for himself and nobody else.
Daisy is the type of person who will find solace in her money when bad things are happening around her. Her lack of caring is displayed in a slightly more subtle way when she allows all the blame of Myrtle's death to be thrust upon Gatsby, by departing from town with Tom, leaving her off the hook. Daisy is also unconcerned about her relationship with Tom. She knows that her husband is having an affair, but still, Daisy chooses to do nothing about it, retreating to her money.
Jordan Baker shows complete carelessness