MULTIPLICATIVE IDENTITY

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.

Quick Summary

Any number multiplied by 1 equals that number.
1 is called the multiplicative identity.

\[ a \times 1 = a \]

🍎 Teacher Insights

Use visual aids and real-world examples to demonstrate that multiplying by 1 doesn't change the quantity (e.g., one group of 5 apples is still 5 apples).

🎓 Prerequisites

Basic multiplication
Understanding of numbers

Check Your Knowledge

Q1: Which equation shows the multiplicative identity?

5 + 1 = 6 5 x 0 = 0 5 x 1 = 5 5 + 0 = 5

Q2: What is the result of 234 x 1?

0 1 234 235

Frequently Asked Questions

Q: What is the multiplicative identity?
A: The multiplicative identity is the number 1. When you multiply any number by 1, the result is that same number.

Q: Why is it called the identity?
A: Because multiplying by 1 doesn't change the 'identity' or value of the original number.