Which property of addition is shown? p + n = n + p 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 p + n = n + p with the definition of the commutative property. The given equation matches the form of the commutative property, where the addends p and n are swapped in order, but the equality remains true.Eliminate Other Choices: Eliminate the other choices based on the definition of each property. (A) Associative property involves the grouping of addends and is expressed as (a + b) + c = a + (b + c). (C) Identity property involves adding zero to a number and getting the same number back, expressed as a + 0 = a. Since the given equation does not involve grouping or the addition of zero, these properties do not apply.Select Correct Property: Select the correct property based on the analysis. The correct property of addition shown by the equation p + n = n + p is the commutative property.

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

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Math Problems

Grade 6

Properties of addition

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Q. Which property of addition is shown?

\newline

p + n = n + p

\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 $p + n = n + p$ with the definition of the commutative property. $\newline$ The given equation matches the form of the commutative property, where the addends $p$ and $n$ are swapped in order, but the equality remains true.
Eliminate Other Choices: Eliminate the other choices based on the definition of each property. (A) Associative property involves the grouping of addends and is expressed as a + b) + c = a + (b + c)\. (C) Identity property involves adding zero to a number and getting the same number back, expressed as \a + \(0 = a\. Since the given equation does not involve grouping or the addition of zero, these properties do not apply.
Select Correct Property: Select the correct property based on the analysis. $\newline$ The correct property of addition shown by the equation $p + n = n + p$ is the commutative property.