https://file.aiquickdraw.com/mathbot/file/1726106465995zk9ozqeh.jpg

The equation in the image is:

\[
(-1) \cdot a = -a
\]

This is a basic algebraic property demonstrating the rule of multiplying a variable by \(-1\). The result of multiplying any number or variable \(a\) by \(-1\) is the opposite (or negation) of \(a\), which is \(-a\).

If you want more details or have any questions, feel free to ask!

Here are 5 related questions to expand on this concept:
1. How does the rule change if you multiply by positive 1 instead of negative 1?
2. What happens when multiplying two negative numbers together?
3. How would this rule apply to more complex expressions involving negative numbers?
4. What is the geometric interpretation of multiplying by \(-1\) on the number line?
5. How does this property apply when solving linear equations?

**Tip:** In algebra, multiplying by \(-1\) simply flips the sign of any term. It is commonly used to simplify or solve equations!

Learn the basic algebraic property of multiplying a variable by -1. This rule demonstrates how any number or variable multiplied by -1 results in the negation of that number. Ideal for Grades 6-8.

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