What does the Bible say about God's forgiveness of sin?

According to scripture, particularly in Exodus and the Psalms, God's forgiveness is rooted in His grace and mercy, which are abundant and eternal. In Exodus 32, when the people sinned greatly by making a golden calf, Moses appealed to God's nature, reminding Him of His power and covenant with Abraham. God forgives sin primarily for His own glory and reputation, indicating that forgiveness is not based on our merits but on His divine attributes. Additionally, Psalm 25 highlights the importance of God's tender mercies and lovingkindness, as the psalmist pleads for forgiveness, admitting the greatness of his sins yet relying on God's covenant faithfulness.