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Operations

 

The Commutative Property states:

 
In Addition
the order of the addends 
does not
change the sum (answer).


In Multiplication
the order of the factors
does not change the product (answer).


When Adding:

 3 + 4 = 4 + 3
      7 = 7

5 + 7 = 7 + 5
12 = 12

2 + 9 = 9 + 2
11 = 11    

When Multiplying:

3 x 5 = 5 x 3
    15 = 15

6 x 4 = 4 x 6
24 = 24

2 x 9 = 9 x 2
18 = 18    

With the Commutative Property,
there can be more than 2 
Addends or Factors...

When Adding:

2 + 5 + 3 = 5 + 3 + 2
   7  +  3 =   8  +  2 
      10    =    10 

7 + 5 + 4 = 4 + 7 + 5
12 + 4 = 11 + 5
16 = 16

3 + 6 + 10 = 6 + 10 + 3
9 + 10 = 16 + 3     
   19 = 19           

When Multiplying:

3 x 6 x 2 = 6 x 2 x 3
    18 x 2 = 12 x 3
         36 = 36

4 x 5 x 10 = 4 x 10 x 5
20 x 10 = 40 x 5
200 = 200

2 x 3 x 4 = 3 x 4 x 2
  6 x 4 = 12 x 2    
24 = 24  
        

 

 REMEMBER :   


Addends or Factors
can change order in a number sentence
and NOT change the answer


  

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