iCoachMath
STEM Excellence Series: Empowering the Next Generation
RECIPROCAL PROPERTY
Reciprocal PropertyQues: Which of the following satisfies the reciprocal property of
Definition Of Reciprocal Property
Reciprocal Property states that for two ratios,
if 
, then 
.
Example of Reciprocal Property
According to reciprocal property, if 
, then 
.
Video Examples: Reciprocal Property
Solved Example on Reciprocal Property
Ques: Which of the following satisfies the reciprocal property of 
?
Choices:
A. 
B. 
C. 
D. 
Correct Answer: A
Solution:
Step 1: Reciprocal property states, if , then .
Step 2: Here, satisfies the reciprocal property.
Quick Summary
- Reciprocal is obtained by swapping the numerator and denominator.
- The product of a number and its reciprocal is 1.
- The reciprocal of a/b is b/a.
\[ \frac{a}{b} \times \frac{b}{a} = 1 \]
🍎 Teacher Insights
Use visual aids like fraction bars to demonstrate the swapping of numerator and denominator. Emphasize that zero does not have a reciprocal.🎓 Prerequisites
- Understanding of fractions
- Concept of ratios
- Basic algebra
Check Your Knowledge
Q1: What is the reciprocal of 2/3?
Q2: Which of the following demonstrates the reciprocal property?
Frequently Asked Questions
Q: What is the reciprocal of 5?
A: The reciprocal of 5 (or 5/1) is 1/5.
Q: What happens when you multiply a fraction by its reciprocal?
A: You always get 1.