A hadith is the words actually spoken by the Holy Prophet(PBUH) or the words that describe an incident related to the Holy Prophet’s life. If a hadith does not contradict with any verse of the Holy Quran then it is our duty as Muslims to act upon it throughout our lives.

be first to greet abuse is a sin show mercy to others backbiting
importance of motives like for others what you like for yourself  good treatment of neighbours persistence in prayer
reward of fasting getting into vehicle cleanliness seeking of knowledge
safeguarding the fast control over anger  high status of mothers