Multiplicative Identity

Definition of Multiplicative Identity

Multiplicative Identity states that the product of any number and one ( = 1) is the number itself.

More about Multiplicative Identity

    Multiplicative identity is also called the identity property of one or the identity property of multiplication.

Examples of Multiplicative Identity

  • 59 1 = 59 (As the number is multiplied by 1, the result is the number itself.)
  • a 1 = a

Video Examples: Multiplicative Identity and Multiplicative Inverse


Solved Example on Multiplicative Identity

Ques: Which number sentence illustrates the identity property of multiplication?

    Choices:
    A. 54 + 1 = 54
    B. 54 1 = 55
    C. 54 1 = 54
    D. 54 1 = 0
    Correct Answer: C

Solution:

    Step 1: According to identity property of multiplication, the product of any number and 1 is the number itself.
    Step 2: Here, only '54 1 = 54' satisfies the property.
    Step 3: So, the number sentence '54 1 = 54' illustrates the identity property of multiplication.