When the Jews sacrificed to God, their sacrifice was costly; it consisted in something they owned, which they gave up in exchange for a valuable benefit.

For the otherwise unobtainable benefit of the forgiveness of Sin, The Son of God sacrificed His own divinity: His privileges and powers during His earthly life, His immortal life on the Cross. 

We Christians participate in the Son’s sacrifice through communion, just as we participate, through baptism, in Christ’s resurrection.