Multiplying Negative Numbers: (-5) x (-5) x (-5) x (-5) x (-5)
This problem explores the concept of multiplying negative numbers, specifically when the multiplication is repeated five times.
Here's how we break down the problem:
Understanding the Pattern:
- Odd number of negatives: When you multiply an odd number of negative numbers, the result is negative.
- Even number of negatives: When you multiply an even number of negative numbers, the result is positive.
Solving the problem:
- Calculate the product of the absolute values: 5 x 5 x 5 x 5 x 5 = 3125
- Apply the sign rule: Since we are multiplying an odd number (five) of negative numbers, the result is negative.
Therefore, (-5) x (-5) x (-5) x (-5) x (-5) = -3125
Key Takeaways:
- Be mindful of the signs when multiplying negative numbers.
- The pattern of odd/even numbers of negatives helps determine the final sign.
- Practice these concepts to build a solid understanding of multiplication with negative numbers.