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[Music] hello guys and welcome back to this channel in todays video we want to continue our lesson on binary operations and we are going to talk about identity element now a set r is said to have an identity element e with respect to a binary operation star if for every element a is a member of the set r such that a star e is equal to e star e and that is equal to e so for binary operations what we are trying to say is that if an element e in the set r is combined with an identity element under a binary operation star the result is still a now under this section we are going to focus on two basic mathematical operations we are going to talk about the addition operation and the multiplication operation so lets start with the addition operation [Music] now the identity element and the addition is zero in the sense that if a is combined with zero under the addition operation using this binary operation is equal to zero plus a which is equal to e so a plus 0 is equal to 0 plus a which i