Use the distributive property to rewrite this expression.
$9(n+7)$
Answer (2)
Apply the distributive property: $9(n+7) = 9
9 7$.
Multiply: 9 = 9 n and 97 = 63 .
Rewrite the expression: 9 n + 63 .
The final answer is: 9 n + 63 .
Explanation
Understanding the Problem We are given the expression 9 ( n + 7 ) and we need to rewrite it using the distributive property. The distributive property states that a ( b + c ) = a ⋅ b + a ⋅ c . In our case, a = 9 , b = n , and c = 7 .
Applying the Distributive Property Applying the distributive property, we have:
9 ( n + 7 ) = 9 ⋅ n + 9 ⋅ 7
Performing the Multiplications Now, we perform the multiplications:
9 ⋅ n = 9 n
9 ⋅ 7 = 63
Writing the Rewritten Expression So, the rewritten expression is:
9 n + 63
Final Answer Therefore, using the distributive property, we have rewritten the expression 9 ( n + 7 ) as 9 n + 63 .
Examples
The distributive property is useful in everyday situations. For example, suppose you want to buy 9 notebooks and 9 pens. If each notebook costs n dollars and each pen costs 7 dollars, the total cost can be represented as 9 ( n + 7 ) . Using the distributive property, you can calculate the total cost as 9 n + 63 , where 9 n is the cost of the notebooks and 63 is the cost of the pens. If each notebook costs $2, then the total cost is 9 ( 2 ) + 63 = 18 + 63 = 81 dollars.
The expression 9 ( n + 7 ) can be rewritten using the distributive property as 9 n + 63 . This involves multiplying 9 by both terms inside the parentheses. The final result is 9 n + 63 .
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