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Fill in the Blank Using Distributive Property: a(b + c + 11) = ? + ac + 11a
Mathematics
Grade 7
Question Content
Use the distributive property to complete the statement: a(b + c + 11) = ____ + ac + 11a
Correct Answer
ab
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 a(b+c+11): multiply a by each term inside the parentheses. a×b = ab, a×c = ac, a×11 = 11a.
3
Step 3: Fill in the blank with ab.
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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