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Which property of addition is shown?\newlineu+(v+w)=(u+v)+wu + (v + w) = (u + v) + w\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity

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Q. Which property of addition is shown?\newlineu+(v+w)=(u+v)+wu + (v + w) = (u + v) + w\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity
  1. Understand Addition Properties: Understand the properties of addition. The associative property of addition states that the way in which numbers are grouped does not change their sum. This is expressed as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c). The commutative property of addition states that the order in which two numbers are added does not change their sum. This is expressed as a+b=b+aa + b = b + a. The identity property of addition states that any number plus zero is the number itself. This is expressed as a+0=aa + 0 = a.
  2. Compare with Given Equation: Compare the given equation with the properties of addition.\newlineThe given equation is u+(v+w)=(u+v)+wu + (v + w) = (u + v) + w. We need to determine which property of addition this equation represents.
  3. Identify Property of Equation: Identify the property of addition shown by the equation.\newlineThe equation u+(v+w)=(u+v)+wu + (v + w) = (u + v) + w matches the format of the associative property of addition, which is (a+b)+c=a+(b+c)(a + b) + c = a + (b + c). The sum remains the same regardless of the grouping of the addends.

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