Simplifying Expressions: (3−8y)x(−2.5)
This article will explore how to simplify the expression (3−8y)x(−2.5).
Understanding the Expression
The expression involves:
- Parentheses: (3−8y) indicates that the terms inside the parentheses are treated as a single unit.
- Multiplication: 'x' symbolizes multiplication, indicating that we need to multiply the terms.
- Variables: 'y' represents a variable, a placeholder for an unknown value.
Simplifying Steps
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Distribution: We apply the distributive property of multiplication. This means multiplying the term outside the parentheses by each term inside the parentheses.
(3−8y) x (-2.5) = (3 x -2.5) + (-8y x -2.5)
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Multiplication: Perform the multiplication operations.
(-7.5) + (20y)
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Rearranging: The standard way to write expressions is with the variable term first.
20y - 7.5
Final Result
Therefore, the simplified form of the expression (3−8y)x(−2.5) is 20y - 7.5.
Key Points
- Order of Operations (PEMDAS/BODMAS): Remember to follow the order of operations when simplifying expressions.
- Distributive Property: The distributive property is crucial for expanding expressions.
- Combining Like Terms: Make sure to combine similar terms after applying the distributive property.
By following these steps, you can confidently simplify similar expressions involving variables and parentheses.