Which equation shows the associative property of multiplication? Choices: (A)1 · u = u (B)(u · v) · w = u · (v · w) (C)(u − v) · w = u · w − v · w (D)u · v = w · y

Question

Which equation shows the associative property of multiplication?    Choices: (A)1 · u = u (B)(u · v) · w = u · (v · w) (C)(u − v) · w = u · w − v · w (D)u · v = w · y

Bytelearn · Accepted Answer

Identify Property: Identify the associative property of multiplication. The associative property states that when three or more numbers are multiplied, the way in which they are grouped does not affect the product.Examine Choice (A): Examine choice (A) 1 · u = u. This is an example of the identity property of multiplication, which states that any number multiplied by 1 equals the number itself.Examine Choice (B): Examine choice (B) (u · v) · w = u · (v · w). This equation shows that no matter how we group the numbers when multiplying, the result is the same. This is the associative property of multiplication.Examine Choice (C): Examine choice (C) (u − v) · w = u · w − v · w. This is an example of the distributive property of multiplication over subtraction, not the associative property.Examine Choice (D): Examine choice (D) u · v = w · y. This equation does not demonstrate any property of multiplication with respect to associativity; it simply states that the product of u and v is equal to the product of w and y.

Which equation shows the associative property of multiplication? $\newline$ Choices: $\newline$ (A) $1 \cdot u = u$ $\newline$ (B) $(u \cdot v) \cdot w = u \cdot (v \cdot w)$ $\newline$ (C) $(u - v) \cdot w = u \cdot w - v \cdot w$ $\newline$ (D) $u \cdot v = w \cdot y$

Full solution

More problems from Properties of addition and multiplication

Related topics