Which equation shows the associative property of addition? Choices: (A)t + u = u + t (B)t = u + v + w (C)t + (u + v) = (t + u) + v (D)t + u = v

Understand Associative Property: Step 1: Understand the associative property of addition. The associative property states that the way in which numbers are grouped in an addition problem does not change the sum. The mathematical form is (a + b) + c = a + (b + c). Analyze Choices: Step 2: Analyze each choice to see which matches the associative property format: (A) t + u = u + t - This shows the commutative property, not associative. (B) t = u + v + w - This does not show any grouping changes. (C) t + (u + v) = (t + u) + v - This matches the associative property format. (D) t + u = v - This is just an equation, not showing any property of addition. Select Correct Answer: Step 3: Select the correct answer based on the analysis in Step 2. Choice (C) is the only option that correctly represents the associative property of addition.

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Which equation shows the associative property of addition? $\newline$ Choices: $\newline$ (A) $t + u = u + t$ $\newline$ (B) $t = u + v + w$ $\newline$ (C) $t + (u + v) = (t + u) + v$ $\newline$ (D) $t + u = v$

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Math Problems

Grade 6

Properties of addition

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Q. Which equation shows the associative property of addition?

\newline

Choices:

\newline

(A)

t + u = u + t

\newline

(B)

t = u + v + w

\newline

(C)

t + (u + v) = (t + u) + v

\newline

(D)

t + u = v

Understand Associative Property: Step $1$ : Understand the associative property of addition. The associative property states that the way in which numbers are grouped in an addition problem does not change the sum. The mathematical form is $(a + b) + c = a + (b + c)$ .
Analyze Choices: Step $2$ : Analyze each choice to see which matches the associative property format: $\newline$ (A) $t + u = u + t$ - This shows the commutative property, not associative. $\newline$ (B) $t = u + v + w$ - This does not show any grouping changes. $\newline$ (C) $t + (u + v) = (t + u) + v$ - This matches the associative property format. $\newline$ (D) $t + u = v$ - This is just an equation, not showing any property of addition.
Select Correct Answer: Step $3$ : Select the correct answer based on the analysis in Step $2$ . Choice (C) is the only option that correctly represents the associative property of addition.