Which equation shows the associative property of addition? Choices: (A)q = r + s + t (B)q + r = s + t (C)q + (r + s) = (q + r) + s (D)q = 0 + q

Property Explanation: The associative property of addition states that the way in which addends are grouped does not change the sum. The mathematical expression of this property is (a + b) + c = a + (b + c).Step 1: Examine each choice to see if it matches the associative property of addition: (A) q = r + s + t does not show any grouping of addends, so it does not demonstrate the associative property.Step 2: (B) q + r = s + t is an equation showing equality but does not involve changing the grouping of addends, so it does not demonstrate the associative property.Step 3: (C) q + (r + s) = (q + r) + s shows a change in the grouping of addends without changing the sum, which is exactly what the associative property of addition describes.Step 4: (D) q = 0 + q is an example of the identity property of addition, not the associative property.Therefore, the correct choice that shows the associative property of addition is (C) q + (r + s) = (q + r) + s.

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Which equation shows the associative property of addition? $\newline$ Choices: $\newline$ (A) $q = r + s + t$ $\newline$ (B) $q + r = s + t$ $\newline$ (C) $q + (r + s) = (q + r) + s$ $\newline$ (D) $q = 0 + q$

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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)

q = r + s + t

\newline

(B)

q + r = s + t

\newline

(C)

q + (r + s) = (q + r) + s

\newline

(D)

q = 0 + q

Property Explanation: The associative property of addition states that the way in which addends are grouped does not change the sum. The mathematical expression of this property is a + b) + c = a + (b + c)\.
Step \(1: Examine each choice to see if it matches the associative property of addition: $\newline$ (A) $q = r + s + t$ does not show any grouping of addends, so it does not demonstrate the associative property.
Step $2$ : (B) $q + r = s + t$ is an equation showing equality but does not involve changing the grouping of addends, so it does not demonstrate the associative property.
Step $3$ : (C) $q + (r + s) = (q + r) + s$ shows a change in the grouping of addends without changing the sum, which is exactly what the associative property of addition describes.
Step $4$ : (D) $q = 0 + q$ is an example of the identity property of addition, not the associative property.
Step $4$ : (D) $q = 0 + q$ is an example of the identity property of addition, not the associative property.Therefore, the correct choice that shows the associative property of addition is (C) $q + (r + s) = (q + r) + s$ .