Which property is the following equation: If 8*3=24, then 24=8*3

The equation "If \( 8 \times 3 = 24 \), then \( 24 = 8 \times 3 \)" demonstrates the **symmetry property of equality**.

The **symmetry property of equality** states that if one quantity equals a second quantity, then the second quantity equals the first. In other words, if \( a = b \), then \( b = a \). This property allows us to switch the sides of an equation.

In this case:
- The equation \( 8 \times 3 = 24 \) can be written as \( 24 = 8 \times 3 \) by applying the symmetry property.

Would you like more details or have any questions? Here are 5 related questions:

1. What is the reflexive property of equality?
2. Can you explain the transitive property of equality?
3. How does the commutative property differ from the symmetry property?
4. What is an example of the symmetry property with an equation involving addition?
5. How can the symmetry property be used in solving algebraic equations?

**Tip:** Understanding the symmetry property is crucial in algebra, especially when solving equations and verifying solutions.

Explore the symmetry property of equality with an example equation. Learn how this fundamental principle allows switching sides of an equation, essential in algebraic manipulations and problem-solving. Suitable for Grades 7-9 students.

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