Which equation demonstrates the commutative property of addition?
a. 2x+y=y+2x
b. 2x+y=2x+y
c. 2x+y=2(x+y)
d. 2x+y=y+(2+x)
http://www.mathematicsdictionary.com/english/vmd/full/c/mutativepropertyofaddition.htm
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A is the answer
Right.
The equation that demonstrates the commutative property of addition is:
b. 2x+y = 2x+y
To understand why this equation demonstrates the commutative property of addition, let's explain what the commutative property is. The commutative property of addition states that changing the order of the numbers being added does not affect the sum. In other words, when you add two numbers, it doesn't matter which number comes first or second; the result will be the same.
Looking at the equation 2x+y = 2x+y, we see that the order of the terms on both sides of the equation is identical. The expression "2x+y" appears in the same order on both sides of the equation. Therefore, this equation demonstrates the commutative property of addition because it shows that when the order of the terms being added is the same on both sides of the equation, the result remains unchanged.