Fill in the Blank Using Distributive Property: a(b + 8) = ab + ? - Math Solver AI

$Math Problem$

Mathematics Grade 7

Question Content

Use the distributive property to complete the statement: a(b + 8) = ab + ____

Correct Answer

8a

Detailed Solution Steps

1
Step 1: Recall the distributive property: c(a+b) = ca + cb.
2
Step 2: Apply the property to a(b+8): multiply a by each term inside the parentheses. a×b = ab, a×8 = 8a.
3
Step 3: Fill in the blank with 8a.

Knowledge Points Involved

1

Distributive Property of Multiplication Over Addition

This property states that for any numbers a, b, c, a(b + c) = ab + ac. It allows expanding expressions by distributing the multiplier to each term inside the parentheses, used to simplify algebraic expressions and solve equations.

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