Q. Which equation shows the commutative property of addition?Choices:(A) (m+n)+p=m+(n+p)(B) m+0=m(C) p=m+n(D) n+m=m+n
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 addends is switched but the sum remains the same.
Analyze Each Choice: Analyze each choice to see if it matches the commutative property.(A) (m+n)+p=m+(n+p) - This shows the associative property, not the commutative property.(B) m+0=m - This shows the identity property of addition, not the commutative property.(C) p=m+n - This is just an equation without showing any property of addition.(D) n+m=m+n - This choice directly shows the commutative property, as it indicates that n+m is the same as m+n.
Select Correct Answer: Select the correct answer based on the analysis.Choice (D) n+m=m+n is the correct answer because it demonstrates the commutative property of addition.