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Which equation shows the commutative property of addition?\newlineChoices:\newline(A) j+k=k+jj + k = k + j\newline(B) j+k=mj + k = m\newline(C) (j+k)+m=j+(k+m)(j + k) + m = j + (k + m)\newline(D) k+m+n=jk + m + n = j

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Q. Which equation shows the commutative property of addition?\newlineChoices:\newline(A) j+k=k+jj + k = k + j\newline(B) j+k=mj + k = m\newline(C) (j+k)+m=j+(k+m)(j + k) + m = j + (k + m)\newline(D) k+m+n=jk + m + n = j
  1. Identify Property: Identify the commutative property of addition.\newlineThe commutative property of addition states that the order in which two numbers are added does not change the sum. In mathematical terms, this property is expressed as:\newlinea+b=b+aa + b = b + a
  2. Match Choices: Match the given choices with the commutative property.\newlineWe need to find an equation among the choices that reflects the commutative property, which means we are looking for an equation where the order of addition is interchangeable without changing the result.
  3. Analyze Choices: Analyze each choice to see if it matches the commutative property.\newline(A) j+k=k+jj + k = k + j - This choice directly matches the commutative property format.\newline(B) j+k=mj + k = m - This choice does not show any change in the order of addition.\newline(C) (j+k)+m=j+(k+m)(j + k) + m = j + (k + m) - This choice represents the associative property, not the commutative property.\newline(D) k+m+n=jk + m + n = j - This choice does not show any change in the order of addition and also involves more than two addends.
  4. Select Correct Answer: Select the correct answer based on the analysis.\newlineFrom the analysis in Step 33, we can see that choice (A) j+k=k+jj + k = k + j is the only one that matches the commutative property of addition.

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