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2-1 Addition Properties
            Math Notes
     Algebra and Functions 1.2
Three Properties
Three Properties


Associative Property
Three Properties


Associative Property
Commutative Property
Three Properties


Associative Property
Commutative Property
Identity Property
Associative Property
Associative Property
The way in which addends are grouped does
not change the sum.
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.



(2 + 3) + 4 =
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.



(2 + 3) + 4 =                5+4=
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.



(2 + 3) + 4 =                5+4=           9
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.



(2 + 3) + 4 =                5+4=           9
2 + (3 + 4) =
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.



(2 + 3) + 4 =                5+4=           9
2 + (3 + 4) =                2+7=
Associative Property
The way in which addends are grouped does
not change the sum.

   When you see (   ) parentheses, do the
        work within the (    ) first.



(2 + 3) + 4 =                5+4=           9
2 + (3 + 4) =                2+7=           9
Commutative Property
Commutative Property
The order in which numbers are added does
not change the sum.
Commutative Property
The order in which numbers are added does
not change the sum.




  18 + 9 =
Commutative Property
The order in which numbers are added does
not change the sum.




  18 + 9 = 27
Commutative Property
The order in which numbers are added does
not change the sum.




   9 + 18= 27
Commutative Property
The order in which numbers are added does
not change the sum.




   9 + 18= 27
   2 + 3=
Commutative Property
The order in which numbers are added does
not change the sum.




   9 + 18= 27
   2 + 3= 5
Commutative Property
The order in which numbers are added does
not change the sum.




   9 + 18= 27
   3 + 2= 5
Identity Property
Identity Property
When 0 is added to any number, the sum is
that number.
Identity Property
When 0 is added to any number, the sum is
that number.




 18 + 0 = 18
Identity Property
When 0 is added to any number, the sum is
that number.




 18 + 0 = 18
  n+0=n
Name the property used.
Name the property used.


76 + 0 = 76
Name the property used.


76 + 0 = 76
76 + 17 = 17 + 76
Name the property used.


76 + 0 = 76
76 + 17 = 17 + 76
(6 + 4) + 8 = 6 + (4 + 8)
Name the property used.
               Identity Property
                 See the zero?

76 + 0 = 76
76 + 17 = 17 + 76
(6 + 4) + 8 = 6 + (4 + 8)
Name the property used.
               Identity Property
                 See the zero?

76 + 0 = 76            Commutative
                     See the numbers
76 + 17 = 17 + 76       switched?



(6 + 4) + 8 = 6 + (4 + 8)
Name the property used.
                            Identity Property
                              See the zero?

76 + 0 = 76                         Commutative
                                  See the numbers
76 + 17 = 17 + 76                    switched?



(6 + 4) + 8 = 6 + (4 + 8)
              Associative Property
 6 + 4 is added first and 4 + 8 was added first
              Sum did not change.

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2-1 Properties of Addition

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