Addition Property of Equality

To keep an equation true or unchanged, we add the same value on both sides of the equation. This property is known as addition property of equality. This property is used to solve the arithmetic problems as well as algebraic problems.

Explanation: Let us suppose, a, b and c are the real numbers.

  • If a = b, then a + c = b + c.

Properties of Equality

Properties of Equality are fundamental rules governing equations in mathematics. We have various types of properties of equality in math to solve algebraic and other mathematical problems.

Some of the common properties for equality are addition property, subtraction property, multiplication property, division property, transitive property, etc. In this article, we will learn the concept of properties of equality with examples as well as explanations.

In this article, we have provided the properties of Equality, which are very useful for equation solving, along with detail explanation of all properties of equality.

Table of Content

  • What is Equality?
  • Properties of Equality
  • List of Properties of Equality
  • 1. Addition Property of Equality
  • 2. Subtraction Property of Equality
  • 3. Multiplication Property of Equality
  • 4. Division Property of Equality
  • 5. Reflexive Property of Equality
  • 6. Symmetric Property of Equality
  • 7. Transitive Property of Equality
  • 8. Substitution Property of Equality
  • 9. Square Root Property of Equality
  • Properties of Equality – Table
  • Uses of Properties of Equality
  • Properties of Equality Examples
  • Practice Problems on Properties of Equality

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What is Equality?

Equality is a fundamental concept in mathematics that represents the idea of two things being the same or having the same value....

Properties of Equality

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List of Properties of Equality

List of all properties of equality include:...

1. Addition Property of Equality

To keep an equation true or unchanged, we add the same value on both sides of the equation. This property is known as addition property of equality. This property is used to solve the arithmetic problems as well as algebraic problems....

2. Subtraction Property of Equality

To keep an equation true or unchanged, we subtract the same value from both sides of the equation. This concept is known as subtraction property of equality. This property is used to solve the algebraic problems....

3. Multiplication Property of Equality

To keep an equation true or unchanged, we multiply both sides of the equation by the same value. This property is known as multiplication property of equality....

4. Division Property of Equality

To keep an equation true or unchanged, we divide both sides of the equation by the same value. This property is called division property of equality....

5. Reflexive Property of Equality

Reflexive Property of Equality states that the every real number is equal to itself....

6. Symmetric Property of Equality

Symmetric property of equality can be defined as if a certain real number is equal to another real number, then the another number is also equal to the certain real number....

7. Transitive Property of Equality

Transitive Property of equality is defined as if a real number (first) is equal to another second real number and the second real number is equal to another third real number, then the third number is equal to first number....

8. Substitution Property of Equality

Substitution Property of equality states that if a real number (first number) equal to another real number (second number), then we can substitute the second number in place of first number....

9. Square Root Property of Equality

Square Root Property of equality states that if two real numbers are equal to each other then their square root is also equal to each other....

Properties of Equality – Table

We already discussed the list of properties of equality in detail. Here we will summaries the properties of equality in a tabular form that helps the students to review it quickly....

Uses of Properties of Equality

The applications of Properties of equality can help us in many ways in mathematics . The applications of Properties of equality are described below....

Properties of Equality Examples

To understand the properties of equality in a better way, we will have to solve some examples by applying the properties of equality. Here are the examples –...

Practice Problems on Properties of Equality

1. Solve for x given that x + 3 = 10....

Properties of Equality – FAQs

What is Equality in Math?...

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