Evaluate the expression $-6(w-10)$ when $w=10$.
Answer (2)
By substituting w = 10 into the expression − 6 ( w − 10 ) and simplifying, we find that the expression evaluates to 0 . The steps include substitution, simplification, and final multiplication. Therefore, the answer is 0 .
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Substitute w = 10 into the expression: − 6 ( 10 − 10 ) .
Simplify the expression inside the parentheses: 10 − 10 = 0 , resulting in − 6 ( 0 ) .
Multiply − 6 by 0 : − 6 × 0 = 0 .
The final answer is 0 .
Explanation
Understanding the problem We are asked to evaluate the expression − 6 ( w − 10 ) when w = 10 . This means we need to substitute the value of w into the expression and simplify.
Substitution Substitute w = 10 into the expression: − 6 ( 10 − 10 ) .
Simplifying the parentheses Now, we simplify the expression inside the parentheses: 10 − 10 = 0 . So, the expression becomes − 6 ( 0 ) .
Multiplication Finally, we multiply − 6 by 0 : − 6 × 0 = 0 .
Examples
Evaluating expressions is a fundamental skill in algebra. For example, if you are calculating the profit of a business where the profit is given by P = − 6 ( n − 10 ) , where n is the number of items sold, and you sell exactly 10 items, then the profit is P = − 6 ( 10 − 10 ) = 0 . This means you break even, neither making a profit nor incurring a loss.
