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Understanding Multiplication with Negative Numbers
This article will explore the equation (3-8y) x (-2.5) =, focusing on how to solve it and understanding the principles of multiplication with negative numbers.
The Distributive Property
The first step in solving this equation is to apply the distributive property. This property states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the products.
In this case, we can rewrite the equation as:
(-2.5) * (3) + (-2.5) * (-8y)
Multiplication of Negative Numbers
The key here is understanding that multiplying two negative numbers results in a positive number.
Let's break down the equation:
- (-2.5) * (3) = -7.5
- (-2.5) * (-8y) = 20y
Simplifying the Equation
Now, we can combine the results:
-7.5 + 20y
This is the simplified form of the equation (3-8y) x (-2.5) =.
Key Takeaways
- The distributive property allows us to multiply a sum by a number by multiplying each term individually.
- Multiplying two negative numbers results in a positive number.
- Understanding these principles is crucial for solving equations involving multiplication of negative numbers.
By applying the distributive property and understanding the rules of multiplying negative numbers, we can effectively simplify and solve equations like (3-8y) x (-2.5) =.