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For the Holy One, blessed be He, chishev et HaKetz, calculated the end [of the bondage], in order to do as He had said to our father Abraham ". . .your seed will be strangers in a land that is not theirs, and they will enslave them and make them suffer, for four hundred years." — The Haggadah

Although G‑d promised that we would be in slavery for 400 years, if you make the calculation its quite impossible that we were in Egypt for that long, as Rashi explains (Bereishit 15:13).

So what happened to the 400-year prophecy that G‑d told Abraham?

The answer is that the 400 years began when Isaac was born, as G‑d told Abraham, ". . .your seed will be strangers in a land that is not theirs . . .". Who is "your seed?" The Torah tells us, "For [only] through Isaac will you leave your seed."

This is alluded to by the word "HaKetz". Ketz in Hebrew has a numeric value of 190, representing the exile years before Egypt, while the actual Egyptian slavery lasted 210 years.

The 210 years are also hinted in the Torah, when Jacob tells his sons to "Redu", descend, to Egypt [and purchase food to alleviate the hunger in Canaan]. "Redu" in Hebrew has a numeric value of 210.

Here is the 400-year timeline:
Isaac was 60 years old when Jacob was born: 60
Jacob was 130 when he went into Egypt: 130
Subtotal 190

Yocheved, Moshe's mother was 130 when Moshe was born 130
Moshe was 80 when they left Egypt 80
Subtotal 210
Total 400