The word Hebrew comes from the Hebrew word Ivri (עברי). It's theorized that this word is related to the Hebrew word ever (עבר) which means "beyond". It's a reference to Abraham coming from "beyond the river".
Answer:
The name "Hebrews" comes from Ever (see Genesis ch.10), and refers to all of Ever's descendants, one of whom was Abraham (Genesis ch.11).
However, once we received the name of Israel (Genesis ch.35), we preferred to use that name instead of "Hebrews," because "Hebrews" is generic, while Israel is a title of honor.
They were still called Hebrews or Hebrew people. But they were also called Israelites or the Children of Israel.
After Jacob was renamed "Israel" in Genesis 32, his descendants were called "the children of Israel" or "Israelites".
Israel
Israel is the home of Hebrews, but they are actually called Jews.
The faith of Israel The people of Israel The Nation of Israel The Hebrews The Israelites The children of Israel
In the past: Canaan. Today: Israel.
The Ancient Hebrews were known by several names, including: Hebrews (עברים) Israel (ישראל) People of Israel (עם ישראל) Children of Israel (בני ישראל) Jews (יהודים)
None of these. The home of the Hebrews was Israel. After the year 70 CE, when they were kicked out of Israel, The Romans renamed it "Palestine" (but the home of the Hebrews was never called Palestine).
The Hebrews never left. They are still here today, and they are now called "Jews". Most were expelled from Israel in the year 70, but in 1948 they re-established the state of Israel.
Israelites (Yisraelim in Biblical Hebrew), Hebrews (a term first used probably by Ancient Egyptians) and Bnei Yisrael ("Children of Israel") are all terms used for Jews before the Common Era.
Judaism (from the Latin Iudaismus, derived from the Greek Ioudaïsmos, and ultimately from the Hebrew יהודה, Yehudah, "Judah"; in Hebrew Also called: Hebrews Israelites the Children of Israel the People of Israel
It was original called the Land of Israel, then it was Judea and Israel, then it was Palestine, then it was the State of Israel.