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Which property of addition is shown?\newlinem+n=n+mm + n = n + m\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity

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Q. Which property of addition is shown?\newlinem+n=n+mm + n = n + m\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity
  1. Understand Addition Properties: Understand the properties of addition. The associative property involves the grouping of numbers and states that the way in which numbers are grouped does not change their sum, which is expressed as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c). The commutative property states that the order in which two numbers are added does not change the sum, which is expressed as a+b=b+aa + b = b + a. The identity property states that any number plus zero is the number itself, which is expressed as a+0=aa + 0 = a.
  2. Compare Given Equation: Compare the given equation with the properties of addition.\newlineThe given equation is m+n=n+mm + n = n + m. This equation shows that the sum of mm and nn is the same regardless of the order in which they are added. This matches the definition of the commutative property of addition.
  3. Select Correct Property: Select the correct property based on the comparison.\newlineSince the given equation m+n=n+mm + n = n + m matches the definition of the commutative property, the correct choice is (B) commutative.

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