MULTIPLICATIVE INVERSE
Definition Of Multiplicative Inverse
The Multiplicative Inverse of a number is its reciprocal.
More about Multiplicative Inverse
The product of a number and the reciprocal of a number is 1.
Multiplicative inverse of a number n is represented as n-1 or 
.
Video Examples: Complex Number Multiplicative Inverse - CBSE 11th Class Math
Examples of Multiplicative Inverse
The multiplicative inverse of 3 is 
. The product of 3 and = 3 × = 1. So, the 3 and are multiplicative inverses of each other.
The multiplicative inverse of 
is 
.
The multiplicative inverse of 
is 6.8.The multiplicative inverse of - 
is - 7.
The multiplicative inverse of 
is 
, as = 
.
Solved Example on Multiplicative Inverse
Ques: Find the multiplicative inverse of (5 + 
) .
Choices:
A. 
B. 
C. 
D.
Correct Answer: A
Solution:
Step 1: 5 + [Original expression.]
Step 2: = 
+ [Write equivalent fractions with a denominator 5.]
Step 3: = 
[Write the sum of the numerators over the common denominator.]
Step 4: = [Simplify.]
Step 5: The multiplicative inverse of a number is its reciprocal. [Reciprocal of a number is obtained by interchanging the numerator and the denominator.]
Step 6: The reciprocal of is . [Interchange numerator and denominator.]
Step 7: So, the multiplicative inverse of (5 + ) is .
Quick Summary
- The multiplicative inverse is the reciprocal of a number.
- The product of a number and its multiplicative inverse is always 1.
- The multiplicative inverse of n is often written as n⁻¹ or 1/n.
🍎 Teacher Insights
Use visual aids like fraction bars to demonstrate reciprocals. Emphasize the connection between multiplicative inverse and division.🎓 Prerequisites
- Fractions
- Reciprocals
- Basic Algebra
Check Your Knowledge
Q1: What is the multiplicative inverse of 7?
Q2: What is the multiplicative inverse of 2/3?
Frequently Asked Questions
Q: What is the multiplicative inverse of 5?
A: The multiplicative inverse of 5 is 1/5 because 5 * (1/5) = 1.
Q: Does every number have a multiplicative inverse?
A: No, the number 0 does not have a multiplicative inverse because there is no number you can multiply by 0 to get 1.