Which property of multiplication is shown? u · (v · w) = (u · v) · w Choices: (A)zero (B)identity (C)associative (D)commutative

Identify Property: Identify the property of multiplication shown by the equation u · (v · w) = (u · v) · w. The equation suggests that no matter how we group the numbers when multiplying, the result will be the same. This is a fundamental property of multiplication.Match with Choices: Match the property identified in Step 1 with the given choices. The property that describes the ability to group numbers in different ways when multiplying without changing the result is known as the associative property.Eliminate Incorrect Choices: Eliminate the incorrect choices based on the property identified. (A) Zero property is not relevant here because it involves multiplying by zero. (B) Identity property involves multiplying by one, which is not the case here. (D) Commutative property involves swapping the order of numbers, which is not what is being shown. The correct choice is (C) associative property.

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Which property of multiplication is shown? $\newline$ $u \cdot (v \cdot w) = (u \cdot v) \cdot w$ $\newline$ Choices: $\newline$ (A)zero $\newline$ (B)identity $\newline$ (C)associative $\newline$ (D)commutative

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Algebra 1

Properties of addition and multiplication

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Q. Which property of multiplication is shown?

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u \cdot (v \cdot w) = (u \cdot v) \cdot w

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Choices:

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(A)zero

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(B)identity

\newline

(C)associative

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(D)commutative

Identify Property: Identify the property of multiplication shown by the equation $u \cdot (v \cdot w) = (u \cdot v) \cdot w$ . The equation suggests that no matter how we group the numbers when multiplying, the result will be the same. This is a fundamental property of multiplication.
Match with Choices: Match the property identified in Step $1$ with the given choices. $\newline$ The property that describes the ability to group numbers in different ways when multiplying without changing the result is known as the associative property.
Eliminate Incorrect Choices: Eliminate the incorrect choices based on the property identified. $\newline$ (A) Zero property is not relevant here because it involves multiplying by $0$ . $\newline$ (B) Identity property involves multiplying by $1$ , which is not the case here. $\newline$ (D) Commutative property involves swapping the order of numbers, which is not what is being shown. $\newline$ The correct choice is (C) associative property.