We see the greatest example of the meaning of silence in the Person of our Lord Jesus Christ Himself. He is the omnipotent Word of God, the very Word which brought the universe into being, and yet He came into the world as a child unable to speak. Indeed, there are no recorded words of His until He was twelve, and then silence descended again until His public ministry commenced.
There were times during His passion that our Lord’s silence spoke with a particular eloquence. Scripture tells us that when He was before Pontius Pilate, He made no answer to the accusations leveled against Him, nor did He speak a word while He was being mocked in Herod's court. But in those times of silence there was a strength communicated which ultimately would put to silence the cacophony calling for His death, until at the end there was but one voice remaining which proclaimed, “Truly this was the Son of God!”
One of the many things our Saviour teaches us is that we should challenge the habit of constant chatter and non-stop access to every word being said in every corner of the world. We should take time out from incessant talking with people and listening to the media. We need to provide for times and places of silence. We must "go apart" as Christ did on occasion, periodically leaving the crowded world that insists upon being seen and looked at, to be heard and listened to.
Of course, there are those with freedom to have solitude, but for some it is less easy. Different people are in different circumstances. Yet everyone should do whatever is possible to have at least some freedom from the oppressive noise that the world inflicts on us so that we can have times of quiet silence before God.