Simplifying the Expression: (3-8y)*(-2.5)
This expression involves multiplication and subtraction. Let's break down how to simplify it step by step.
Understanding the Order of Operations
We need to follow the order of operations (PEMDAS/BODMAS) to correctly simplify the expression:
- Parentheses / Brackets
- Exponents / Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplifying the Expression
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Parentheses: We start by simplifying the expression inside the parentheses:
- (3 - 8y) remains as it is.
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Multiplication: Now we multiply the entire expression inside the parentheses by -2.5.
- Remember that multiplying a negative number with a positive number results in a negative number.
We get:
- -2.5 * (3 - 8y) = (-2.5 * 3) + (-2.5 * -8y)
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Simplifying further:
- -2.5 * 3 = -7.5
- -2.5 * -8y = 20y
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Final Expression: Combining the terms, we get the simplified expression:
- -7.5 + 20y
Conclusion
Therefore, the simplified form of (3-8y)*(-2.5) is -7.5 + 20y. This expression can't be simplified further unless we have a specific value for 'y'.