Which property is the following equation: 4(6(square)*1/36)=4

The equation \( 4 \times \left( 6^2 \times \frac{1}{36} \right) = 4 \) exemplifies the **Multiplicative Identity Property**.

Here's how it works:

1. \( 6^2 = 36 \) (since \( 6 \times 6 = 36 \)).
2. Then, \( 36 \times \frac{1}{36} = 1 \) (this uses the **Multiplicative Inverse Property**: multiplying a number by its reciprocal equals 1).
3. Thus, the equation simplifies to \( 4 \times 1 = 4 \), showing that multiplying any number by 1 gives the number itself.

This demonstrates the **Multiplicative Identity Property**, which states that any number multiplied by 1 remains unchanged.

Would you like to explore more about this concept or have any specific questions?

Here are 5 related questions:
1. What is the Additive Identity Property?
2. How does the Multiplicative Inverse Property differ from the Multiplicative Identity Property?
3. Can you provide an example of the Distributive Property?
4. What are the commutative properties of addition and multiplication?
5. How is the Associative Property applied in algebra?

**Tip:** Remember that the Identity Properties (Additive and Multiplicative) involve operations that leave the number unchanged: adding 0 or multiplying by 1.

Explore the Multiplicative Identity Property through the equation 4 * (6^2 * 1/36) = 4. Learn how this property ensures that any number multiplied by 1 remains unchanged. Suitable for students in Grades 7-9.

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