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Which property of addition is shown?\newlineb+c=c+bb + c = c + b\newlineChoices:\newline(A) associative\newline(B) commutative\newline(C) identity

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Q. Which property of addition is shown?\newlineb+c=c+bb + c = c + b\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 can be written 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 can be written as a+b=b+aa + b = b + a. The identity property involves the addition of 00, stating that any number plus 00 is the number itself, which can be written as a+0=aa + 0 = a.
  2. Compare Given Equation: Compare the given equation with the properties of addition.\newlineThe given equation is b+c=c+bb + c = c + b. This equation shows that the sum remains the same regardless of the order of the addends, which matches the definition of the commutative property.
  3. Choose Correct Property: Choose the correct property based on the comparison.\newlineSince the given equation matches the definition of the commutative property, the correct choice is (B)(B) commutative.

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