Converse of the Multiplication Property of Equality

For real numbers x, y and z; converse of multiplication property of equality can be expressed as:

If x ≠ y, then x × z ≠ y × z

OR

If x = y, then x × z = y × z

Multiplication Property of Equality

Multiplication Property of Equality is when two sides of an equation are multiplied by the same value, and equality will remain true. It is one of the many properties of equality such as Addition, Subtraction, Division, Reflexive, Transitive, etc.

In this article, we will discuss the Multiplication Property of Equality in detail including its definition as well as converse.

Table of Content

  • What is the Property of Equality?
  • What is the Multiplicative Property of Equality?
  • Converse of the Multiplication Property of Equality
  • Multiplication Property of Equality with Fractions
  • FAQs on Multiplication Property of Equality

Similar Reads

What is the Property of Equality?

Properties of Equality refers to the set of rules that maintain the balance and truth of an equation when operations like addition, subtraction, multiplication, or division are applied to both sides of the equation....

What is the Multiplicative Property of Equality?

Multiplication Property of Equality states that if both sides of an equation are multiplied by the same number, equality holds. This property allows you to multiply both sides of an equation by the same number, maintaining the equality of the equation....

Converse of the Multiplication Property of Equality

For real numbers x, y and z; converse of multiplication property of equality can be expressed as:...

Multiplication Property of Equality with Fractions

We can apply multiplication property of equality with fractions as well, following examples can be seen for the same....

Conclusion

In conclusion, the Multiplication Property of Equality stands as a fundamental principle in algebra, facilitating the solution of equations by allowing us to balance both sides through multiplication by the same non-zero factor. Its simplicity belies its power, enabling us to manipulate equations with confidence and precision....

Solved Examples: Multiplication Property of Equality

Example 1: Solve 3x = 12....

Practice Questions on Multiplication Property of Equality

Q1: Solve for x, 5x = 30....

FAQs on Multiplication Property of Equality

Define multiplicative Property of equality....

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