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(3−8y)x(−2.5)

2 min read Jun 16, 2024
(3−8y)x(−2.5)

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

  1. 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)

  2. Multiplication: Perform the multiplication operations.

    (-7.5) + (20y)

  3. 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.

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