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Which equation shows the zero property of multiplication?\newlineChoices:\newline(A) (m−n)⋅p=m⋅p−n⋅p(m - n) \cdot p = m \cdot p - n \cdot p\newline(B) 0⋅m=00 \cdot m = 0\newline(C) m⋅n=p⋅qm \cdot n = p \cdot q\newline(D) m=m⋅1m = m \cdot 1

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Full solution

Q. Which equation shows the zero property of multiplication?\newlineChoices:\newline(A) (m−n)⋅p=m⋅p−n⋅p(m - n) \cdot p = m \cdot p - n \cdot p\newline(B) 0⋅m=00 \cdot m = 0\newline(C) m⋅n=p⋅qm \cdot n = p \cdot q\newline(D) m=m⋅1m = m \cdot 1
  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. (A) (m−n)⋅p=m⋅p−n⋅p(m - n) \cdot p = m \cdot p - n \cdot p - This is the distributive property, not the zero property.
  3. Continue Analysis: Continue analyzing the choices.\newline(B) 0⋅m=00 \cdot m = 0 - This choice shows that multiplying any number mm by zero gives zero, which is the zero property of multiplication.
  4. Check Remaining Choices: Check the remaining choices for completeness.\newline(C) m⋅n=p⋅qm \cdot n = p \cdot q - This does not relate to the zero property; it's just an equation that could be true for certain values of mm, nn, pp, and qq.\newline(D) m=m⋅1m = m \cdot 1 - This is the identity property of multiplication, not the zero property.

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