Which expression shows a way to factor 36 + 20? Choices: (A)2(18 + 11) (B)4(8 + 5) (C)2(16 + 10) (D)4(9 + 5)

Identify GCF Factors: Identify the Greatest Common Factor (GCF) of 36 and 20. To find the GCF, list the factors of each number: Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 20: 1, 2, 4, 5, 10, 20. The highest common factor is 4.Factor Out GCF: Factor out the GCF from the expression 36 + 20. Using the GCF of 4, we write: 36 + 20 = 4(9) + 4(5) = 4(9 + 5).Match Factored Expression: Match the factored expression with the given choices. The expression 4(9 + 5) matches with choice (D).

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Which expression shows a way to factor $36 + 20$ ? $\newline$ Choices: $\newline$ (A) $2(18 + 11)$ $\newline$ (B) $4(8 + 5)$ $\newline$ (C) $2(16 + 10)$ $\newline$ (D) $4(9 + 5)$

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

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Q. Which expression shows a way to factor

36 + 20

\newline

Choices:

\newline

(A)

2(18 + 11)

\newline

(B)

4(8 + 5)

\newline

(C)

2(16 + 10)

\newline

(D)

4(9 + 5)

Identify GCF Factors: Identify the Greatest Common Factor (GCF) of $36$ and $20$ . To find the GCF, list the factors of each number: Factors of $36$ : $1$ , $2$ , $3$ , $4$ , $6$ , $9$ , $12$ , $20$ $0$ , $36$ . Factors of $20$ : $1$ , $2$ , $4$ , $20$ $6$ , $20$ $7$ , $20$ . The highest common factor is $4$ .
Factor Out GCF: Factor out the GCF from the expression $36 + 20$ . Using the GCF of $4$ , we write: $36 + 20 = 4(9) + 4(5) = 4(9 + 5)$ .
Match Factored Expression: Match the factored expression with the given choices. $\newline$ The expression $4(9 + 5)$ matches with choice (D).