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Complete the Expression with Distributive Property: 7(p + q + 7) = 7p + 7q + ?
Mathematics
Grade 7
Question Content
Use the distributive property to complete the statement: 7(p + q + 7) = 7p + 7q + ____
Correct Answer
49
Detailed Solution Steps
1
Step 1: Recall the distributive property for three terms: c(a+b+d) = ca + cb + cd.
2
Step 2: Apply the property to 7(p+q+7): multiply 7 by each term inside the parentheses. 7×p = 7p, 7×q = 7q, 7×7 = 49.
3
Step 3: Fill in the blank with 49.
Knowledge Points Involved
1
Distributive Property for Multiple Terms in Parentheses
The distributive property extends to parentheses with more than two terms: a(b + c + d) = ab + ac + ad. This allows expanding expressions with three or more terms by distributing the multiplier to each term inside the parentheses.
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