Which expression shows a way to factor 28 + 18? Choices: (A)2(14 + 8) (B)2(12 + 9) (C)2(12 + 8) (D)2(14 + 9)

Identify GCF of 28 and 18: Step 1: Identify the Greatest Common Factor (GCF) of 28 and 18. To find the GCF, list the factors of each number: Factors of 28: 1, 2, 4, 7, 14, 28 Factors of 18: 1, 2, 3, 6, 9, 18 The GCF of 28 and 18 is 2. Factor Out GCF: Step 2: Factor out the GCF from the expression 28 + 18. Using the GCF of 2, factor out from each term: 28 = 2 * 14 18 = 2 * 9 So, 28 + 18 can be written as 2(14 + 9). Match Factored Expression: Step 3: Match the factored expression with the given choices. The factored form 2(14 + 9) matches with choice (D).

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Which expression shows a way to factor $28 + 18$ ? $\newline$ Choices: $\newline$ (A) $2(14 + 9)$ $\newline$ (B) $2(12 + 9)$ $\newline$ (C) $2(12 + 8)$ $\newline$ (D) $2(14 + 9)$

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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

28 + 18

\newline

Choices:

\newline

(A)

2(14 + 9)

\newline

(B)

2(12 + 9)

\newline

(C)

2(12 + 8)

\newline

(D)

2(14 + 9)

Identify GCF of $28$ and $18$ : Step $1$ : Identify the Greatest Common Factor (GCF) of $28$ and $18$ . $\newline$ To find the GCF, list the factors of each number: $\newline$ Factors of $28$ : $1, 2, 4, 7, 14, 28$ $\newline$ Factors of $18$ : $1, 2, 3, 6, 9, 18$ $\newline$ The GCF of $28$ and $18$ is $2$ .
Factor Out GCF: Step $2$ : Factor out the GCF from the expression $28 + 18$ . Using the GCF of $2$ , factor out from each term: $28 = 2 \times 14$ $18 = 2 \times 9$ So, $28 + 18$ can be written as $2(14 + 9)$ .
Match Factored Expression: Step $3$ : Match the factored expression with the given choices. $\newline$ The factored form $2(14 + 9)$ matches with choice (D).