Which equation shows the associative property of multiplication? Choices: (A)(h · j) · k = h · (j · k) (B)h · k + j · k = (h + j) · k (C)h = h · 1 (D)0 · h = 0

Question

Which equation shows the associative property of multiplication?    Choices: (A)(h · j) · k = h · (j · k) (B)h · k + j · k = (h + j) · k (C)h = h · 1 (D)0 · h = 0

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Define Associative Property: Recall the definition of the associative property of multiplication. The associative property states that the way in which factors are grouped in a multiplication problem does not change the product. In mathematical terms, this property is expressed as (a * b) * c = a * (b * c).Examine Choice (A): Examine choice (A) to see if it demonstrates the associative property of multiplication. The equation given is (h · j) · k = h · (j · k). This matches the form of the associative property, where the grouping of the factors is changed but the order of the factors remains the same.Examine Choice (B): Examine choice (B) to see if it demonstrates the associative property of multiplication. The equation given is h · k + j · k = (h + j) · k. This does not match the form of the associative property; instead, it shows the distributive property, which involves both addition and multiplication.Examine Choice (C): Examine choice (C) to see if it demonstrates the associative property of multiplication. The equation given is h = h · 1. This does not match the form of the associative property; instead, it shows the identity property of multiplication, which states that any number multiplied by one equals itself.Examine Choice (D): Examine choice (D) to see if it demonstrates the associative property of multiplication. The equation given is 0 · h = 0. This does not match the form of the associative property; instead, it shows the zero property of multiplication, which states that any number multiplied by zero equals zero.Conclude Correct Equation: Conclude that the equation which correctly demonstrates the associative property of multiplication is the one from choice (A), which is (h · j) · k = h · (j · k).

Which equation shows the associative property of multiplication? $\newline$ Choices: $\newline$ (A) $(h \cdot j) \cdot k = h \cdot (j \cdot k)$ $\newline$ (B) $h \cdot k + j \cdot k = (h + j) \cdot k$ $\newline$ (C) $h = h \cdot 1$ $\newline$ (D) $0 \cdot h = 0$

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