Which expression shows a way to factor 63 + 35? Choices: (A)7(8 + 7) (B)7(8 + 5) (C)7(9 + 6) (D)7(9 + 5)

Find GCF of 63 and 35: Step 1: Find the Greatest Common Factor (GCF) of 63 and 35. Calculation: Factors of 63 are 1, 3, 7, 9, 21, 63. Factors of 35 are 1, 5, 7, 35. The GCF is 7.Express using GCF: Step 2: Express 63 + 35 using the GCF. Calculation: 63 + 35 = 7(9) + 7(5) = 7(9 + 5).Match with choices: Step 3: Match the expression with the given choices. Calculation: The expression 7(9 + 5) matches with choice (D).

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Which expression shows a way to factor $63 + 35$ ? $\newline$ Choices: $\newline$ (A) $7(8 + 7)$ $\newline$ (B) $7(8 + 5)$ $\newline$ (C) $7(9 + 6)$ $\newline$ (D) $7(9 + 5)$

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Which expression shows a way to factor

63 + 35

\newline

Choices:

\newline

(A)

7(8 + 7)

\newline

(B)

7(8 + 5)

\newline

(C)

7(9 + 6)

\newline

(D)

7(9 + 5)

Find GCF of $63$ and $35$ : Step $1$ : Find the Greatest Common Factor (GCF) of $63$ and $35$ . $\newline$ Calculation: Factors of $63$ are $1$ , $3$ , $7$ , $9$ , $21$ , $63$ . Factors of $35$ are $1$ , $35$ $1$ , $7$ , $35$ . The GCF is $7$ .
Express using GCF: Step $2$ : Express $63 + 35$ using the GCF. $\newline$ Calculation: $63 + 35 = 7(9) + 7(5) = 7(9 + 5)$ .
Match with choices: Step $3$ : Match the expression with the given choices. $\newline$ Calculation: The expression $7(9 + 5)$ matches with choice (D).