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

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Full solution

Q. Which property of addition is shown?\newlinev+u=u+vv + u = u + v\newlineChoices:\newline(A) associative\newline(B) commutative\newline(C) identity
  1. Understand Addition Properties: Understand the properties of addition.\newlineThere are several properties of addition, but the ones relevant to this problem are:\newline- Associative Property: (a+b)+c=a+(b+c)(a + b) + c = a + (b + c)\newline- Commutative Property: a+b=b+aa + b = b + a\newline- Identity Property: a+0=aa + 0 = a\newlineWe need to identify which property is demonstrated by the equation v+u=u+vv + u = u + v.
  2. Compare with Addition Properties: Compare the given equation with the properties of addition.\newlineThe given equation is v+u=u+vv + u = u + v. This equation shows that the order of the addends can be changed without changing the sum. This is the definition of the Commutative Property of addition.
  3. Match Property to Equation: Match the property to the correct choice.\newlineThe Commutative Property is represented by the equation a+b=b+aa + b = b + a. Therefore, the correct choice that matches the given equation v+u=u+vv + u = u + v is the Commutative Property.

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