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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.
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