Evaluate:
`(-7) times 8 times (-5) times (-6)`

Options

A. `-1680`
B. `-1080`
C. `1680`
D. `-1660`

Answer

To evaluate the expression \((-7) \times 8 \times (-5) \times (-6)\), we will follow the rules of multiplication for integers, particularly focusing on the signs of the numbers involved.

### Step-by-Step Solution:

1. **Identify the Numbers and Their Signs**:
The numbers we are multiplying are \(-7\), \(8\), \(-5\), and \(-6\).

2. **Multiply the First Two Numbers**:
\[ (-7) \times 8 = -56 \]
Here, since one number is negative and the other is positive, the result is negative.

3. **Multiply the Result with the Next Number**:
\[ -56 \times (-5) = 280 \]
In this case, both numbers are negative, so the product is positive.

4. **Multiply the Result with the Last Number**:
\[ 280 \times (-6) = -1680 \]
Here, one number is positive and the other is negative, so the result is negative.

5. **Final Result**:
The final answer is \(-1680\).