x(-2.5).jpeg "(3-8y)x(-2.5)")
Multiplying with Negative Numbers: An Exploration of (3-8y) x (-2.5)
This article will explore the multiplication of the expression (3-8y) by -2.5. We'll delve into the rules of multiplying with negative numbers and how to apply them to this specific example.
Understanding the Rules
The key to multiplying with negative numbers is remembering the following:
- Positive x Positive = Positive
- Negative x Negative = Positive
- Positive x Negative = Negative
Applying the Rules to Our Expression
Let's break down the multiplication of (3-8y) x (-2.5) step-by-step:
- Distribute: We need to multiply each term inside the parentheses by -2.5.
- (-2.5) * 3 = -7.5
- (-2.5) * (-8y) = 20y
- Combine: The final result is the sum of the two products:
- -7.5 + 20y
Conclusion
Therefore, the multiplication of (3-8y) x (-2.5) results in -7.5 + 20y. Understanding the rules of multiplying with negative numbers allows us to accurately simplify expressions and perform calculations with confidence.