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Which property of addition is shown?\newlinec+(d+f)=(c+d)+fc + (d + f) = (c + d) + f\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity

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Q. Which property of addition is shown?\newlinec+(d+f)=(c+d)+fc + (d + f) = (c + d) + f\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity
  1. Identify Property of Addition: Identify the property of addition demonstrated by the equation c+(d+f)=(c+d)+fc + (d + f) = (c + d) + f.\newlineIn this equation, the grouping of the numbers being added is changed, but the order of the numbers themselves is not changed. This indicates that the property being used is one that involves the grouping of numbers.
  2. Compare with Definitions: Compare the given equation with the definitions of the properties of addition.\newlineThe associative property states that when three or more numbers are added, the sum is the same regardless of the grouping of the addends. The commutative property states that the order of the numbers can be changed without changing the sum. The identity property states that adding zero to a number does not change the number.
  3. Determine Illustrated Property: Determine which property is illustrated by the equation.\newlineSince the equation shows that the sum does not change when the grouping of the addends is changed, this matches the definition of the associative property.

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