The multiplicative identity formula is expressed as a × 1 = a, where 'a' is any real number. This shows that when any number is multiplied by 1, the product is the number itself. For example, if we multiply 65 with 1 we get 65 as the product. 65 × 1 = 65.

A mathematical notion known as “multiplicative identity” describes the character of a number being identical to itself whenever the number is multiplied by 1. To put in other words, multiplying an integer by one always results in the same result: the integer itself.

Multiplicative Identity is a property of a set in which the multiplication operation is defined. For most sets, the number 1 is the multiplicative identity but it can differ for different types of mathematical objects.

In a given mathematical system, the multiplicative identity refers to an identity element that leaves unchanged any element by which it is multiplied, that is e·x = x·e = x. For the group of rational numbers, it is 1. The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.

In a set X equipped with a binary operation · called a product, the multiplicative identity is an element e such that e·x=x·e=x for all x in X. It can be, for example, the identity element of a multiplicative group or the unit of a unit ring.