what does the bible say?
The terms “Hebrew,” “Israelite,” and “Jew” denote different periods in the historical development of Israel, from before the nation's formation through the period of exile. The meanings of the words overlap, particularly in later usage, but they are not merely different words for the same meaning.
“Hebrew” is the earliest of the three and likely a term used by outsiders or as an ethnic reference (e.g., Genesis 14:13, 34:32; Exodus 1:15–16; 1 Samuel 4:6, 9). Some have suggested that it derives from the earlier name “Eber” (Genesis 10:21–24), though that is debated.
“Israelite” refers to the people of the early nation of Israel. In Genesis 32:28, God renamed Jacob “Israel.” His children were referred to as the “sons of Israel” (Exodus 1:7 NASB). An Israelite, then, is a formal word for referring to those descended from Jacob.
“Jew” is a later word. Later in Israel’s history, it split into two kingdoms. The Northern Kingdom went into exile first, leaving just the Southern one, which was primarily the tribe of Judah. “Jew” referred to those from Judah. While it was used primarily during and after the exile (Esther 2:5; Zechariah 8:23; Nehemiah 1:2), it appears in a couple of pre-exile texts, such as Jeremiah 34:9.
In the New Testament, the three words began to overlap in meaning (Philippians 3:5; 2 Corinthians 11:22).