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hello guys and welcome back to this channel in todayamp;#39;s 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 letamp;#39;s start with the addition operation 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