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Simplifying Algebraic Expressions: 1/20x(x-100)
In this article, we will explore how to simplify the algebraic expression 1/20x(x-100). Simplifying algebraic expressions is an essential skill in mathematics, and it involves combining like terms and eliminating any parentheses or other grouping symbols.
The Original Expression
The original expression is:
1/20x(x-100)
To simplify this expression, we need to follow the order of operations (PEMDAS) and evaluate the expression inside the parentheses first.
Evaluating the Expression Inside the Parentheses
The expression inside the parentheses is x-100. We cannot simplify this expression further, so we move on to the next step.
Multiplying the Expressions
Now, we need to multiply the two expressions: 1/20x and x-100. Using the distributive property, we get:
1/20x(x) - 1/20x(100)
= x^2/20 - 100x/20
Simplifying the Expression
We can simplify the expression further by combining the like terms:
= x^2/20 - 5x
The Simplified Expression
The simplified expression is:
x^2/20 - 5x
In this article, we have successfully simplified the algebraic expression 1/20x(x-100) by following the order of operations and applying the distributive property.
