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

Identify GCF of 63 and 35: Identify 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: Express 63 and 35 using the GCF. Calculation: 63 = 7 * 9, 35 = 7 * 5. So, 63 + 35 can be written as 7 * 9 + 7 * 5.Factor out GCF: Factor out the GCF from the expression. Calculation: 7 * 9 + 7 * 5 = 7(9 + 5).Match with choices: Match the factored expression with the given choices. Calculation: The expression 7(9 + 5) matches choice (D).

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

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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

63 + 35

\newline

Choices:

\newline

(A)

7(8 + 7)

\newline

(B)

7(9 + 6)

\newline

(C)

7(8 + 5)

\newline

(D)

7(9 + 5)

Identify GCF of $63$ and $35$ : Identify the Greatest Common Factor (GCF) of $63$ and $35$ . Calculation: Factors of $63$ are $1$ , $3$ , $7$ , $9$ , $21$ , $63$ . Factors of $35$ are $1$ , $35$ $3$ , $7$ , $35$ . The GCF is $7$ .
Express using GCF: Express $63$ and $35$ using the GCF. $\newline$ Calculation: $63 = 7 \times 9$ , $35 = 7 \times 5$ . So, $63 + 35$ can be written as $7 \times 9 + 7 \times 5$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ Calculation: $7 \times 9 + 7 \times 5 = 7(9 + 5)$ .
Match with choices: Match the factored expression with the given choices. $\newline$ Calculation: The expression $7(9 + 5)$ matches choice (D).