2 + a + b = a + 2 + b is an example of which algebraic property?
A.) Distributive Property
B.) Associative Property of Addition
C.) Commutative Property of Addition
D.) Symmetric Property
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OpenStudy (dangerousjesse):
Do you know what all of these properties are?
OpenStudy (ashy98):
the truth no!
OpenStudy (dangerousjesse):
Okay :) An example of the distributive property is \(\large 2(x+y)=2x+2y\)
OpenStudy (dangerousjesse):
So the equation isn't distributive.
OpenStudy (dangerousjesse):
The associative property of addition is just where you move around parentheses in an equation, like \(\large (x+y)+z=x+(y+z)\).
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OpenStudy (dangerousjesse):
There are no parentheses in the equation, so it's not associative.
OpenStudy (ashy98):
Symmetric Property?
OpenStudy (dangerousjesse):
Commutative is just showing that you can mix up the numbers, like \(\large x+y+z=z+x+y\).
OpenStudy (dangerousjesse):
And symmetric shows a reflection as the sum. \(\large x+y+z=z+y+x\)
OpenStudy (dangerousjesse):
So what will be your answer?
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OpenStudy (ashy98):
A
OpenStudy (dangerousjesse):
How is the equation distributing the variables amongst each other?