(-5)x...x(-5)=

Jasonbradley

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Jun 16, 2024

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Understanding Multiplication with Negative Numbers

When we multiply a negative number by itself an odd number of times, the result will always be negative.

Let's break down why this is:

Understanding the Basics

• Positive x Positive = Positive (e.g., 2 x 2 = 4)
• Negative x Positive = Negative (e.g., -2 x 2 = -4)
• Positive x Negative = Negative (e.g., 2 x -2 = -4)
• Negative x Negative = Positive (e.g., -2 x -2 = 4)

The Pattern

Notice how the pattern alternates between positive and negative results. This pattern is crucial for understanding what happens when we multiply a negative number by itself multiple times.

The Odd Number Rule

When you multiply a negative number by itself an odd number of times, you are essentially performing the following sequence:

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

This means you end up with a negative result.

Example: (-5) x (-5) x (-5)

1. (-5) x (-5) = 25 (Negative x Negative = Positive)
2. 25 x (-5) = -125 (Positive x Negative = Negative)

Therefore, (-5) x (-5) x (-5) = -125

Key Takeaway

Remember that when multiplying a negative number by itself an odd number of times, the result will always be negative.