Which property of multiplication is shown? (q − r) · s = q · s − r · s Choices: (A)zero (B)identity (C)commutative (D)distributive

Identify Property: Identify which property of multiplication allows for the distribution of multiplication over addition or subtraction. Distributive property of multiplication: a(b + c) = ab + ac or a(b - c) = ab - ac. This property shows that you can distribute the multiplication over addition or subtraction within parentheses.Compare with Property: Compare the given equation with the distributive property. The given equation (q − r) · s = q · s − r · s matches the form of the distributive property a(b - c) = ab - ac, where a is s, b is q, and c is r.Select Answer Choice: Select the answer choice that the statement (q − r) · s = q · s − r · s shows. The statement matches the distributive property of multiplication. Therefore, the correct answer is (D) distributive.

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Which property of multiplication is shown? $\newline$ $(q - r) \cdot s = q \cdot s - r \cdot s$ $\newline$ Choices: $\newline$ (A)zero $\newline$ (B)identity $\newline$ (C)commutative $\newline$ (D)distributive

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Math Problems

Grade 6

Properties of multiplication

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Q. Which property of multiplication is shown?

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(q - r) \cdot s = q \cdot s - r \cdot s

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Choices:

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(A)zero

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(B)identity

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(C)commutative

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(D)distributive

Identify Property: Identify which property of multiplication allows for the distribution of multiplication over addition or subtraction. $\newline$ Distributive property of multiplication: $a(b + c) = ab + ac$ or $a(b - c) = ab - ac$ . $\newline$ This property shows that you can distribute the multiplication over addition or subtraction within parentheses.
Compare with Property: Compare the given equation with the distributive property. $\newline$ The given equation $(q - r) \cdot s = q \cdot s - r \cdot s$ matches the form of the distributive property $a(b - c) = ab - ac$ , where $a$ is $s$ , $b$ is $q$ , and $c$ is $r$ .
Select Answer Choice: Select the answer choice that the statement $(q - r) \cdot s = q \cdot s - r \cdot s$ shows. $\newline$ The statement matches the distributive property of multiplication. $\newline$ Therefore, the correct answer is (D) distributive.