Which equation shows the distributive property of multiplication? Choices: (A)j · 0 = 0 (B)(j · k) · m = j · (k · m) (C)m = j · k (D)j · k + j · m = j · (k + m)

Question

Which equation shows the distributive property of multiplication?    Choices: (A)j · 0 = 0 (B)(j · k) · m = j · (k · m) (C)m = j · k (D)j · k + j · m = j · (k + m)

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Understand Distributive Property: Understand the distributive property of multiplication. The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products. Mathematically, it can be expressed as a(b + c) = ab + ac.Examine Choices: Examine each choice to see which one matches the distributive property. (A) j · 0 = 0 does not show the distributive property; it shows the multiplication property of zero. (B) (j · k) · m = j · (k · m) shows the associative property of multiplication, not the distributive property. (C) m = j · k is just an equation and does not show the distributive property. (D) j · k + j · m = j · (k + m) matches the format of the distributive property, where j is distributed over the sum of k and m.Identify Correct Choice: Identify the correct choice that demonstrates the distributive property. From Step 2, we can see that choice (D) j · k + j · m = j · (k + m) is the correct representation of the distributive property.

Which equation shows the distributive property of multiplication? $\newline$ Choices: $\newline$ (A) $j \cdot 0 = 0$ $\newline$ (B) $(j \cdot k) \cdot m = j \cdot (k \cdot m)$ $\newline$ (C) $m = j \cdot k$ $\newline$ (D) $j \cdot k + j \cdot m = j \cdot (k + m)$

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