Which equation shows the distributive property of multiplication? Choices: (A)g · h − g · j = g · (h − j) (B)g = g · 1 (C)h · g = g · h (D)g · h = h · g

Question

Which equation shows the distributive property of multiplication?    Choices: (A)g · h − g · j = g · (h − j) (B)g = g · 1 (C)h · g = g · h (D)g · h = h · g

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Identify Property: Identify the distributive property of multiplication. The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Mathematically, it is expressed as a(b + c) = ab + ac.Examine Choice (A): Examine choice (A) to see if it matches the distributive property. Choice (A) is g · h − g · j = g · (h − j). This can be rewritten as g(h) − g(j) = g(h − j), which matches the form of the distributive property a(b + c) = ab + ac, if we consider subtraction as adding a negative.Examine Choices (B-D): Examine choices (B), (C), and (D) to confirm they do not represent the distributive property. Choice (B) is g = g · 1, which represents the identity property of multiplication. Choice (C) is h · g = g · h, and choice (D) is g · h = h · g, both of which represent the commutative property of multiplication. None of these choices match the form of the distributive property.

Which equation shows the distributive property of multiplication? $\newline$ Choices: $\newline$ (A) $g \cdot h - g \cdot j = g \cdot (h - j)$ $\newline$ (B) $g = g \cdot 1$ $\newline$ (C) $h \cdot g = g \cdot h$ $\newline$ (D) $g \cdot h = h \cdot g$

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