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Which property of multiplication is shown?\newlinej⋅(k−m)=j⋅k−j⋅mj \cdot (k - m) = j \cdot k - j \cdot m\newlineChoices:\newline(A) commutative\newline(B) distributive\newline(C) identity\newline(D) associative

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Q. Which property of multiplication is shown?\newlinej⋅(k−m)=j⋅k−j⋅mj \cdot (k - m) = j \cdot k - j \cdot m\newlineChoices:\newline(A) commutative\newline(B) distributive\newline(C) identity\newline(D) associative
  1. Identify Property of Multiplication: Identify the property of multiplication shown by the equation j×(k−m)=j×k−j×mj \times (k - m) = j \times k - j \times m.\newlineThe equation shows that multiplying a number by a difference results in the difference of the products. This is a characteristic of the distributive property of multiplication over subtraction.
  2. Compare with Distributive Property: Compare the given equation with the definition of the distributive property. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In the context of our equation, j(k−m)=jk−jmj(k - m) = jk - jm, which aligns with the distributive property, where aa is jj, bb is kk, and cc is −m-m.

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