Which equation shows the zero property of multiplication? Choices: (A)a · b = c (B)b · a = a · b (C)(a − b) · c = a · c − b · c (D)a · 0 = 0

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Which equation shows the zero property of multiplication?    Choices: (A)a · b = c (B)b · a = a · b (C)(a − b) · c = a · c − b · c (D)a · 0 = 0

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Understand Zero Property: Understand the zero property of multiplication. The zero property of multiplication states that any number multiplied by zero equals zero. Mathematically, this can be expressed as a * 0 = 0, where 'a' can be any real number.Examine Choices: Examine each choice to see which one matches the zero property of multiplication. (A) a · b = c does not necessarily involve zero, so it does not represent the zero property.Check Choice (A): Check choice (B). (B) b · a = a · b represents the commutative property of multiplication, which states that the order of multiplication does not affect the product. This is not the zero property.Check Choice (B): Check choice (C). (C) (a − b) · c = a · c − b · c represents the distributive property of multiplication over subtraction. This is not the zero property.Check Choice (C): Check choice (D). (D) a · 0 = 0 directly matches the definition of the zero property of multiplication, where multiplying any number by zero results in zero.Check Choice (D): Select the correct answer based on the zero property of multiplication. The correct answer is (D) a · 0 = 0, as it is the only choice that represents the zero property of multiplication.

Which equation shows the zero property of multiplication? $\newline$ Choices: $\newline$ (A) $a \cdot b = c$ $\newline$ (B) $b \cdot a = a \cdot b$ $\newline$ (C) $(a - b) \cdot c = a \cdot c - b \cdot c$ $\newline$ (D) $a \cdot 0 = 0$

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