Evaluate:
`(-3) times (-4) times (-5) times (-6) times 7`

Options

A. `1520`
B. `2500`
C. `2520`
D. `2820`

Answer

To evaluate the expression `(-3) times (-4) times (-5) times (-6) times 7`, we will follow the multiplication rules for integers step by step.

### Step-by-Step Solution:

1. **Multiply the first two negative integers:**
\[ (-3) \times (-4) = 12 \]
- Since both numbers are negative, the product is positive.

2. **Now, we have:**
\[ 12 \times (-5) \times (-6) \times 7 \]

3. **Multiply the next negative integer:**
\[ 12 \times (-5) = -60 \]
- Here, one number is positive and the other is negative, so the product is negative.

4. **Now, we have:**
\[ -60 \times (-6) \times 7 \]

5. **Multiply the next two integers:**
\[ (-60) \times (-6) = 360 \]
- Again, both numbers are negative, so the product is positive.

6. **Now, we have:**
\[ 360 \times 7 \]

7. **Finally, multiply by the last integer:**
\[ 360 \times 7 = 2520 \]

### Final Answer:
The final result of the expression `(-3) times (-4) times (-5) times (-6) times 7` is **2520**.

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