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Which equation shows the zero property of multiplication?\newlineChoices:\newline(A) k⋅0=0k \cdot 0 = 0\newline(B) (k+m)⋅n=k⋅n+m⋅n(k + m) \cdot n = k \cdot n + m \cdot n\newline(C) k=k⋅1k = k \cdot 1\newline(D) 1⋅k=k1 \cdot k = k

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Full solution

Q. Which equation shows the zero property of multiplication?\newlineChoices:\newline(A) k⋅0=0k \cdot 0 = 0\newline(B) (k+m)⋅n=k⋅n+m⋅n(k + m) \cdot n = k \cdot n + m \cdot n\newline(C) k=k⋅1k = k \cdot 1\newline(D) 1⋅k=k1 \cdot k = k
  1. Identify Zero Property: Identify the zero property of multiplication. The zero property of multiplication states that any number multiplied by 00 is 00.
  2. Analyze Choices: Analyze each choice to see which one represents the zero property of multiplication.\newline(A) k⋅0=0k \cdot 0 = 0\newline(B) (k+m)⋅n=k⋅n+m⋅n(k + m) \cdot n = k \cdot n + m \cdot n\newline(C) k=k⋅1k = k \cdot 1\newline(D) 1⋅k=k1 \cdot k = k
  3. Match with Zero Property: Match the choices with the zero property of multiplication. Choice (A) k⋅0=0k \cdot 0 = 0 directly matches the zero property of multiplication, which states that any number multiplied by zero gives zero.
  4. Eliminate Incorrect Choices: Eliminate the other choices as they represent different properties.\newline(B) represents the distributive property.\newline(C) represents the identity property of multiplication.\newline(D) also represents the identity property of multiplication.
  5. Select Correct Answer: Select the correct answer based on the zero property of multiplication.\newlineThe correct answer is (A) k⋅0=0k \cdot 0 = 0.

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