Complete the Expression Using Distributive Property: 9(a + b) = 9a + ? - Math Solver AI

$Math Problem$

Mathematics Grade 7

Question Content

Use the distributive property to complete the statement: 9(a + b) = 9a + ____

Correct Answer

9b

Detailed Solution Steps

1
Step 1: Recall the distributive property: c(a+b) = ca + cb.
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Step 2: Apply the property to 9(a+b): multiply 9 by each term inside the parentheses. 9×a = 9a, 9×b = 9b.
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Step 3: Fill in the blank with 9b.

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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