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Which property of multiplication is shown?\newlineq⋅s+r⋅s=(q+r)⋅sq \cdot s + r \cdot s = (q + r) \cdot s\newlineChoices:\newline(A)zero\newline(B)associative\newline(C)distributive\newline(D)commutative\newline

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Q. Which property of multiplication is shown?\newlineq⋅s+r⋅s=(q+r)⋅sq \cdot s + r \cdot s = (q + r) \cdot s\newlineChoices:\newline(A)zero\newline(B)associative\newline(C)distributive\newline(D)commutative\newline
  1. Identify Property: Identify which property of multiplication says ＂You can add two numbers and then multiply by a third number, or you can multiply each number by the third number and then add the results.＂\newlineDistributive property of multiplication over addition: a(b+c)=ab+aca(b + c) = ab + ac.\newlineThis statement shows that multiplication is distributed over addition.
  2. Apply Distributive Property: Select the answer choice that the statement q⋅s+r⋅s=(q+r)⋅sq \cdot s + r \cdot s = (q + r) \cdot s shows.\newlineDistributive property of multiplication over addition: a(b+c)=ab+aca(b + c) = ab + ac.\newlineTherefore, the statement q⋅s+r⋅s=(q+r)⋅sq \cdot s + r \cdot s = (q + r) \cdot s shows the distributive property of multiplication over addition.

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