Which property of addition is shown? r + q = q + r Choices: (A)associative (B)commutative (C)identity

Identify Property of Addition: Identify the property of addition that involves changing the order of the addends without changing the sum. The commutative property of addition states that changing the order of the addends does not change the sum. It is expressed as a + b = b + a.Compare Given Equation: Compare the given equation r + q = q + r with the definition of the commutative property. The given equation matches the form of the commutative property, where the addends r and q are swapped in order without affecting the equality.Eliminate Other Properties: Eliminate the other properties based on their definitions. The associative property involves the grouping of addends (e.g., (a + b) + c = a + (b + c)), and the identity property involves adding zero to a number (e.g., a + 0 = a). Neither of these properties is demonstrated by the equation r + q = q + r.Select Correct Property: Select the correct property based on the analysis. Since the equation r + q = q + r matches the definition of the commutative property, the correct choice is (B) commutative.

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Which property of addition is shown? $\newline$ $r + q = q + r$ $\newline$ Choices: $\newline$ (A)associative $\newline$ (B)commutative $\newline$ (C)identity

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Grade 6

Properties of addition

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Q. Which property of addition is shown?

\newline

r + q = q + r

\newline

Choices:

\newline

(A)associative

\newline

(B)commutative

\newline

(C)identity

Identify Property of Addition: Identify the property of addition that involves changing the order of the addends without changing the sum. $\newline$ The commutative property of addition states that changing the order of the addends does not change the sum. It is expressed as $a + b = b + a$ .
Compare Given Equation: Compare the given equation $r + q = q + r$ with the definition of the commutative property. $\newline$ The given equation matches the form of the commutative property, where the addends $r$ and $q$ are swapped in order without affecting the equality.
Eliminate Other Properties: Eliminate the other properties based on their definitions. $\newline$ The associative property involves the grouping of addends (e.g., $a + b) + c = a + (b + c)$ , and the identity property involves adding zero to a number (e.g., $a + 0 = a$ ). Neither of these properties is demonstrated by the equation $r + q = q + r$ .
Select Correct Property: Select the correct property based on the analysis. $\newline$ Since the equation $r + q = q + r$ matches the definition of the commutative property, the correct choice is (B) commutative.