Adam Clarke Bible Commentary

Neither shall ye profane my holy name - God's name is profaned or rendered common when we treat his commands as we often do those of our fellows, when they do not appear to have self-interest to recommend them. He therefore profanes God's holy name who does not both implicitly believe and conscientiously obey all his words and all his precepts. I will be hallowed among the children of Israel - The words children of Israel, בני ישראל beney Yishrael, which so frequently occur, should be translated either the descendants or posterity of Israel, or the people of Israel. The word children has a tendency to beget a false notion, especially in the minds of young people, and lead them to think that children, in the proper sense of the word, i. e., little ones, are meant.