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

Solved Example on Multiplicative Identity

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.

Related Terms for Multiplicative Identity

  • Number
  • One
  • Product
  • Property