https://file.aiquickdraw.com/mathbot/file/17260980689734by4n29n.jpg

The question in the image is:

**"Select the property that justifies the truth of the following expression; otherwise, select 'false equation.'**

\( 7(20 + 8) = 7(20) + 7(8) \)

The correct property that justifies this equation is the **distributive property**. The distributive property states that multiplying a sum by a number is the same as multiplying each addend individually by the number and then adding the products. In this case, the number 7 is being distributed to both 20 and 8.

The currently selected answer in the image is "associative property," which is incorrect. The correct answer should be **distributive property**.

Would you like more details on this? Here are some related questions to deepen your understanding:

1. What is the difference between the distributive and associative properties?
2. Can you provide an example of the associative property?
3. Why can't the equation \( 7(20 + 8) = 7(20) + 7(8) \) be explained by the multiplicative property?
4. How can the distributive property be used in algebraic expressions?
5. Can the distributive property be used with subtraction, and how?

**Tip**: The distributive property is a powerful tool, especially when simplifying algebraic expressions!

Select the property that justifies the truth of the following expression; otherwise, select 'false equation.' 7(20 + 8) = 7(20) + 7(8)

Learn how to justify the equation 7(20 + 8) = 7(20) + 7(8) using the distributive property in pre-algebra. This concept is essential for simplifying algebraic expressions, suitable for Grade 7 students.

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