## Related Words

# 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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