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AssignmentMultiple Select

The Distributive Property

Question 2 • AIA - 12 Career Math (1st Sem)

The following are reasons why 36 + 20 and 4(9 + 5) are equivalent expressions. Which did you include in your response? Check all that apply.

Answer
A
The expressions have the same value.
B
36 + 20 is a multiple of (9 + 5).
C
If you multiply 9 and 5 by the factor 4, you get 36 + 20.

Explanation

Both expressions equal 56: 36 + 20 = 56, and 4(9 + 5) = 4 × 14 = 56, so A is correct. Also, 36 + 20 = 4 × (9 + 5), so 56 is a multiple of 14, making B correct. Distributing the factor 4 gives 4 × 9 + 4 × 5 = 36 + 20, so C is correct too.

AI-written and checked against the verified answer.

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