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The Identity or Identity element is a special element of a set under a binary operation which when combined with any element of a set results in the same element. Normally denoted by e. If in a set A under a binary operation * there exists an element e such that for all a EQN:\in\ A then a * e = a then e is called the identity element. Some care has to be taken if the operation is non-commutative when the definition above specifically defines what is called the right-identity. The left identity is defined as that element such that for all a EQN:\in\ A then e * a = a. The identity element of the set of integers under the binary operation of addition is the number zero. ---- Enrichment Task What is the identity element of the set of integers under the binary operation of multiplication?