Q. Which equation shows the commutative property of addition?Choices:(A) k+m=n(B) (k+m)+n=k+(m+n)(C) k+m=m+k(D) k=0+k
Identify Property: Identify the commutative property of addition.The 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:a+b=b+a
Match Choices: Match the given choices with the commutative property.We 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 switched but the sum remains the same.
Analyze Choices: Analyze each choice to see if it matches the commutative property.(A) k+m=n does not show the commutative property; it is just an equation.(B) (k+m)+n=k+(m+n) shows the associative property, not the commutative property.(C) k+m=m+k directly matches the commutative property definition.(D) k=0+k shows the identity property of addition, not the commutative property.
Select Correct Choice: Select the correct choice that shows the commutative property. From the analysis in Step 3, we can see that choice (C) k+m=m+k is the one that shows the commutative property of addition.