(-1)(-1)(-1)(-1)(-1)

Jasonbradley

2 min read

·

Jun 16, 2024

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The Mystery of (-1)(-1)(-1)(-1)(-1)

Have you ever encountered a mathematical expression like (-1)(-1)(-1)(-1)(-1) and wondered what the answer might be? This seemingly simple problem can be a bit confusing, especially for those new to the concept of multiplying negative numbers. Let's break down the calculation and understand the logic behind it.

The Rule of Signs in Multiplication

The core principle at play here is the rule of signs in multiplication. Here's how it works:

• Positive x Positive = Positive
• Negative x Negative = Positive
• Positive x Negative = Negative
• Negative x Positive = Negative

Solving (-1)(-1)(-1)(-1)(-1)

Let's apply this rule to our expression:

1. (-1)(-1) = 1 (Negative times Negative equals Positive)
2. (1)(-1) = -1 (Positive times Negative equals Negative)
3. (-1)(-1) = 1 (Negative times Negative equals Positive)
4. (1)(-1) = -1 (Positive times Negative equals Negative)

Therefore, (-1)(-1)(-1)(-1)(-1) = -1

Key Takeaways

• An odd number of negative numbers multiplied together will always result in a negative answer.
• An even number of negative numbers multiplied together will always result in a positive answer.

By understanding the rule of signs, you can confidently solve similar problems involving the multiplication of negative numbers. Remember, practice makes perfect!