Simplifying Expressions with Multiplication: (3-8y) * (-2.5)
This expression involves multiplying a binomial (3-8y) by a constant (-2.5). To simplify this, we can use the distributive property of multiplication.
The Distributive Property:
The distributive property states that multiplying a sum by a number is the same as multiplying each term of the sum by the number and adding the results.
In this case, we can rewrite the expression as:
(-2.5) * (3) + (-2.5) * (-8y)
Simplifying:
Now, we can perform the multiplications:
- (-2.5) * (3) = -7.5
- (-2.5) * (-8y) = 20y
Combining the Terms:
Combining the simplified terms, we get:
-7.5 + 20y
Final Result:
Therefore, the simplified expression for (3-8y) * (-2.5) is -7.5 + 20y.