Which equation shows the distributive property of multiplication? Choices: (A)m · (n · p) = (m · n) · p (B)0 = 0 · m (C)m · n − m · p = m · (n − p) (D)m · 1 = m

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Which equation shows the distributive property of multiplication?    Choices: (A)m · (n · p) = (m · n) · p (B)0 = 0 · m (C)m · n − m · p = m · (n − p) (D)m · 1 = m

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Understand Distributive Property: Understand the distributive property. The distributive property of multiplication over addition or subtraction states that multiplying a sum or difference by a number is the same as multiplying each addend or subtrahend by the number and then adding or subtracting the products. Mathematically, it can be expressed as a(b + c) = ab + ac or a(b - c) = ab - ac.Examine Choice (A): Examine choice (A) m · (n · p) = (m · n) · p. This choice represents the associative property of multiplication, not the distributive property. It shows that the grouping of factors does not affect the product.Examine Choice (B): Examine choice (B) 0 = 0 · m. This choice represents the multiplication property of zero, which states that any number multiplied by zero is zero. It does not demonstrate the distributive property.Examine Choice (C): Examine choice (C) m · n − m · p = m · (n − p). This choice correctly represents the distributive property of multiplication over subtraction. It shows that multiplying m by the difference of n and p is the same as multiplying m by n and m by p separately, and then subtracting the two products.Examine Choice (D): Examine choice (D) m · 1 = m. This choice represents the identity property of multiplication, which states that any number multiplied by one is the number itself. It does not demonstrate the distributive property.

Which equation shows the distributive property of multiplication? $\newline$ Choices: $\newline$ (A) $m \cdot (n \cdot p) = (m \cdot n) \cdot p$ $\newline$ (B) $0 = 0 \cdot m$ $\newline$ (C) $m \cdot n - m \cdot p = m \cdot (n - p)$ $\newline$ (D) $m \cdot 1 = m$

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