How does the concept of imputed righteousness relate to Jesus' sacrifice?

The notion of imputed righteousness is central to Paul’s teaching in Romans, specifically in Romans 4:5, where he states that God justifies the ungodly by faith. This doctrine underscores that believers are declared righteous not because of their works, but because Jesus bore their sins and righteousness was credited to them through faith in His atoning work. Christ's sacrifice fulfills the requirements of the law, making it possible for His perfect righteousness to be counted as ours. Therefore, believers can approach God with confidence, assured that their sins are forgiven and they stand justified, not because of their merit, but solely due to the grace of God in Jesus Christ.