What do you think God intended animal sacrifice teach us about sin?
Sin has a cost and a price and that price is death and sin is an offence to God.
About holiness?
God is so holy that sin can't be tolerated in His sight and that we are separated from Him and unable to approach and stand in His presence because of our sins.
About God's nature?
God is holy, righteous, just, compassionate, merciful, faithful, loving, forgiving and gracious.
It's because of God's nature that He gave animal sacrifice and in the fullness of time His Son so that justice is accomplished, all of our sins are atoned so that we can be reconciled to God and be able to approach and stand in His presence once again.