Saturday, October 23, 2010

What is the property illustrated in (2+g)+3 = 2+(g+3) ?

This is the associative property of addition, not the commutative property.


The commutative property only deals with 2 numbers not 3.


The order of the numbers or their groupings do not affect the result.


(2+1)+3 = 2+(1+3)


3+3 = 2+4 (eliminate parehtneses)


6 = 6


Instead of a variable, I have substituted real numbers to illustrate how this works. You of course would eliminate the parentheses first.



The same is true of multiplication as well.


(2*4)*5 = 2*(4*5)


8*5 = 2*20 (eliminate parentheses)


40 = 40


Again, you eliminate the parentheses first and then work out the problem the rest of the way.

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