Example of theta
Let's say that you buy a call option with a strike price of $30 and that you pay $3 per share for the option. The stock is trading for $31, so there is $2 of time value in the option's price. If the option has two months to expiration and a theta of -$0.05, it should theoretically lose $0.05 in value per day.
Now, this assumes that the underlying stock price stays the same. If the stock price rises, the value of the option will rise as well, although it is still losing time value as it gets closer to expiration.