Who are the Israelites?

Romans 9:4-5 — What is the significance of the apostle Paul's use of the term 'Israelites' in Romans 9:4? Why didn't he use the term 'Jews' or 'Hebrews' instead? In this sermon on Romans 9:4–5 titled “Who are the Israelites” Dr. Martyn Lloyd-Jones explains the three terms which are often used to describe this people group: Jews, Hebrews, and Israelites. Each of these terms have a different meaning when used in Scripture and he details those three meanings. The term Jews is used to show the opposite of Gentile, which is the rest of the world. Hebrews describes a time in Jewish history when they spoke Hebrew. The term Israelites is the term given to God's chosen people in the Old Testament and the New Testament. Dr. Lloyd-Jones then goes on to detail two other terms of supreme importance that Paul uses in this passage. Adoption is used in a general sense, but means that God has placed this people group in a whole new position as his children. Glory means how God presented Himself to His people, proving His faithfulness to them. All Gentiles have been brought into a share of this, becoming sons and daughters of Christ through adoption.