Matthew Poole's Concise Commentary
Deuteronomy 3:16
Half the valley, or rather to the middle of the river; for the word rendered half signifies commonly middle; and the same Hebrew word signifying both a valley and a brook or river, it seems more reasonable to understand it of a river, as the same word is here rendered in the next foregoing clause of this verse, than of a valley, which was not mentioned before, especially seeing there is here an article added which seems to be emphatical, and to note that river, to wit, now mentioned. Add to this, that there was no such valley, much less any half valley, belonging both unto the Reubenites and Gadites. But according to the other translation the sense is plain and agreeable to the truth, that their land extended from Gilead unto Aroer, and, to speak exactly, to the middle of that river; for as that river was the border between them and others, so one half of it belonged to them, as the other half did to others. And that this is no subtle device, as some may think it, but the truth of the thing, and the real meaning of the place, will appear by comparing this place with two others:
1. With Joshua 12:2, where the same thing is expressed in the same words in the Hebrew which are here, though our translators render the selfsame words there from the middle of the river, which here they render half of the valley; and where the bounds of Sihon's kingdom, which was the same portion there mentioned as given to Reuben and Gad, are thus described, from Aroer, which is upon the bank of the river of Arnon, and from the middle of the river, and from half Gilead, even unto the river Jabbok, which is the border of the children of Ammon.
2. With Deuteronomy 2:36, From Aroer, which is by the brink of the river of Arnon, and from the city that is by the river, or rather, as the Hebrew hath it, in the river, i.e. from Ar, which was the chief city of the Moabites, and therefore denied to the Israelites, as is here implied, and more fitly expressed, Deuteronomy 2:9, which city was seated in an island in the middle of the river. So that here we have a just and full reason why the border of this land given to Reuben and Gad is so nicely and critically described there, even to the middle of a river, which although in truth and strictness it be the bound of those lands which are divided by a river, yet is not usually expressed in the description of borders, either in Scripture or other authors, because here was an eminent city of the Moabites in the middle of this river, which by this curious and exact description is excepted from their possession, as God would have it to be. And the border even unto the river Jabbok: the meaning seems to be this, and the border, to wit, of their land, was, which verb substantive is commonly understood, or went forth, (as the phrase is, Joshua 15:6,7, &c.,) from thence, to wit, from the river Arnon, even unto the river Jabbok, for so indeed their border did proceed. Which is the border of the children of Ammon. Object. This was the border between them and the Manassites, as is evident, and therefore not the border of the Ammonites. Answ. It bordered upon the Manassites in one part, and upon the Ammonites in another part, to wit, in that part which is remoter from Jordan, and so both are true.