Definition
Call deltas range from 0 to 1 and put deltas from 0 to -1. An at-the-money option has a delta near 0.50. Delta is also used as a rough guide to the odds of finishing in the money, though that is only an approximation.
Example
Hypothetical exampleA call with a delta of 0.40 gains about $0.40 if the stock rises $1, all else equal, or $40 per contract.