Question

Write multiplicative identity and additive identity in the set of Rational numbers.

Answer 1

Answer:

Multiplicative identity

• an identity element, or neutral element, is a special type of element of a set with respect to a binary operation on that set

• which leaves any element of the set unchanged when combined with it.

• This concept is used in algebraic structures such as groups and rings

Example:-

1/2 *x = 1

x = 1 * 2

x. = 2

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additive identity:-

• the additive identity of a set that is equipped with the operation of addition is an element which

• when added to any element x in the set, yields x.

Example:-

5 + x = 0

x = 0 - 5

x. = -5