CROSS PRODUCT PROPERTY

Cross Product Property

Definition Of Cross Product Property

Cross Product Property states that in a proportion, product of the means is equal to the product of the extremes.
In the proportion Cross Produc _Property , b and c are the means and a and d are the extremes.

Video Examples: Cross Product: Properties, Example

Example of Cross Product Property

If 5/12 = 15/36, then, according to the cross product property, 5 × 36 = 12 × 15.

Solved Example on Cross Product Property

Ques: Solve 3/33=n/11 using cross product property.

Choices:

A. 33
B. 3
C. 11
D. 1
Correct Answer: D

Solution:

Step 1: As per the cross product property, implies 3 × 11 = n × 33.
Step 2: So, n = 1.

Quick Summary

The cross product property simplifies solving proportions.
It involves multiplying the numerator of one fraction by the denominator of the other.

\[ \frac{a}{b} = \frac{c}{d} \implies ad = bc \]

🍎 Teacher Insights

Emphasize the importance of setting up the proportion correctly before applying the cross product property. Use visual aids to identify the means and extremes. Provide ample practice problems.

🎓 Prerequisites

Ratios
Proportions
Multiplication

Check Your Knowledge

Q1: Solve for x: 2/3 = x/9

3 6 9 12

Q2: Which equation demonstrates the cross product property for a/b = c/d?

a+d = b+c a/d = c/b ad = bc ac = bd

Frequently Asked Questions

Q: When can I use the cross product property?
A: Only when you have a proportion (two equal ratios).

Q: Why does the cross product property work?
A: It is a shortcut derived from multiplying both sides of the equation by both denominators.