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The image contains two sets of exercises where the task is to find a pattern and express it as a general property using a variable.

### Exercise 39:
- \( -3 = -1 \cdot 3 \)
- \( -4 = -1 \cdot 4 \)
- \( -7 = -1 \cdot 7 \)

#### Pattern:
In each case, the number on the left is written as the product of \(-1\) and the same number (without the negative sign).

#### General Property:
For any number \( x \), the pattern can be expressed as:
\[ -x = -1 \cdot x \]

### Exercise 40:
- \( -(-1) = 1 \)
- \( -(-3) = 3 \)
- \( -(-6) = 6 \)

#### Pattern:
In each case, the negative of a negative number results in the positive version of that number.

#### General Property:
For any number \( x \), the pattern can be expressed as:
\[ -(-x) = x \]

Would you like more details on the explanation or help with a similar topic? Here are 5 related questions that can expand on this:

1. How does the distributive property relate to the first pattern?
2. Can you explain the difference between multiplying by \(-1\) and taking the opposite of a number?
3. Why is the double negative in math simplified to a positive?
4. Can this pattern work for fractions or decimals as well?
5. How would the general property change for absolute value expressions?

**Tip:** When solving equations, identifying patterns helps to generalize solutions that apply to a broader range of problems!

Find the pattern in each series of statements and express it as a general property using a variable.

Explore the patterns in multiplying negative numbers by -1 and in applying double negation. Learn how to express these patterns as general algebraic properties. Suitable for middle school students learning basic algebra.

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