Use the distributive property to remove the parentheses from the expression 10(5+w).
Understand the Problem
The question asks to use the distributive property to remove the parentheses from the expression 10(5+w). This involves multiplying the term outside the parentheses (10) by each term inside the parentheses (5 and w).
Answer
$50 + 10w$
Answer for screen readers
$50 + 10w$
Steps to Solve
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Apply the distributive property The distributive property states that $a(b+c) = ab + ac$. In this case, we have $10(5+w)$, so we need to multiply 10 by both 5 and $w$.
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Multiply 10 by 5 $10 \times 5 = 50$
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Multiply 10 by $w$ $10 \times w = 10w$
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Combine the results Add the results from steps 2 and 3: $50 + 10w$
$50 + 10w$
More Information
The distributive property is a fundamental concept in algebra that allows us to simplify expressions involving parentheses. It is used extensively in solving equations and simplifying algebraic expressions.
Tips
A common mistake is to only multiply 10 by 5 and forget to multiply it by $w$, or vice versa. Always remember to distribute the term outside the parentheses to every term inside the parentheses. Another common mistake is incorrect arithmetic.
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