https://file.aiquickdraw.com/mathbot/file/1728675854686o7klv83i.jpg

Let's go through each expression to determine if it's positive or negative:

1. **Expression: \(-4(-3)\)**
   - Calculation: \(-4 \times -3 = 12\)
   - Result: Positive

2. **Expression: \(4(-3)\)**
   - Calculation: \(4 \times -3 = -12\)
   - Result: Negative

3. **Expression: \(-4(3)\)**
   - Calculation: \(-4 \times 3 = -12\)
   - Result: Negative

4. **Expression: \(-2(-4)3\)**
   - Calculation:
     - First, \(-2 \times -4 = 8\)
     - Then, \(8 \times 3 = 24\)
   - Result: Positive

5. **Expression: \(- (2(-4)3)\)**
   - Calculation:
     - First, \(2 \times -4 = -8\)
     - Then, \(-8 \times 3 = -24\)
     - Finally, \(-(-24) = 24\)
   - Result: Positive

6. **Expression: \(-2(-4)(-3)\)**
   - Calculation:
     - First, \(-2 \times -4 = 8\)
     - Then, \(8 \times -3 = -24\)
   - Result: Negative

### Summary:
- **Positive:** 1, 4, 5
- **Negative:** 2, 3, 6

Would you like more details on any of these calculations?

Here are some additional questions you might find helpful:
1. What is the difference between multiplying two negative numbers and a negative and a positive number?
2. How do parentheses affect the outcome of operations in expressions like these?
3. Why does multiplying by a negative change the sign of the result?
4. How would you solve expressions involving multiple operations, such as division and addition?
5. How can we visualize the effect of negative signs in multiplication using a number line?

**Tip:** Remember, multiplying two negatives results in a positive, while a negative times a positive (or vice versa) results in a negative.

Indicate whether the value of each expression is positive or negative for the following: -4(-3), 4(-3), -4(3), -2(-4)3, -(2(-4)3), -2(-4)(-3).

Learn how to determine whether the result of multiplying integers is positive or negative. This problem involves integer multiplication and order of operations for expressions like -4(-3) and -(2(-4)3). Suitable for students in Grades 6-8.

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