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Evaluate: (-2) times (-3) times (-1) t...

Evaluate:
`(-2) times (-3) times (-1) times (-4) times (-7)`

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To evaluate the expression \((-2) \times (-3) \times (-1) \times (-4) \times (-7)\), we will follow the rules of multiplying 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 \(-2\), \(-3\), \(-1\), \(-4\), and \(-7\). All of these numbers are negative. 2. **Multiply the First Two Numbers**: \[ (-2) \times (-3) = 6 \] When multiplying two negative numbers, the result is positive. 3. **Multiply the Result by the Next Number**: \[ 6 \times (-1) = -6 \] Here, we multiply a positive number (6) by a negative number (-1), resulting in a negative product. 4. **Multiply the Result by the Next Number**: \[ (-6) \times (-4) = 24 \] Again, multiplying two negative numbers gives us a positive result. 5. **Multiply the Result by the Final Number**: \[ 24 \times (-7) = -168 \] Finally, we multiply a positive number (24) by a negative number (-7), which results in a negative product. ### Final Answer: The final result of the expression \((-2) \times (-3) \times (-1) \times (-4) \times (-7)\) is \(-168\). ---
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