Properties

Commutative Property

100

a + b =

a + b = b + a

200

a x b = 

a x b = b x a

300

11 x 22 =

11 x 22 = 22 x 11

400

12 + 22 + 67 =

12 + 22 + 67 = 67 + 22 + 12

500

1 x 13 x 44 x 100 =

1 x 13 x 44 x 100 = 100 x 44 x 13 x 1

Associative Property

100

( a + b ) + c = 

( a + b ) + c = a + ( b + c )

200

( 7 + 9 ) + 7 =

( 7 + 9 ) + 7 = 7 + ( 9 + 7 )

16 + 7 = 7 + 16

     23 = 23

300

( 3 + 11 ) + 4 =

( 3 + 11 ) + 4 = 3 + ( 11 + 4 )

   14 + 4 = 3 + 15

         18 = 18

400

( a x b)  c =

( a x b ) x c = a ( b x c) 

500

( 9 x 12 ) x 2 = 

( 9 x 12 ) x 2 = 9 ( 12 x 2 ) 

   108 x 2 = 9 x 24

       216 = 216

Identity property

100

2 + 0 =

 2 + 0 = 2

200

7 x a =

7 x a = 7

300

0 + 11 =

0 + 11 = 11

400

a x 9 =

a x 9 = 9

500

-43 + 0 =

-43 + 0 = -43

Distributive Property

100

2 ( 3m + 2 ) =

2 ( 3m + 2 ) = 6m + 4

200

11 ( 6m + 9 ) =

 11 ( 6m + 9 ) = 66m + 99

300

-3 ( 3m + 7 ) =

-3 ( 3m + 7 ) = -9m -7

400

9 ( -8m + 11 ) =

9 ( -8m + 11 ) = -72m + 99

500

-11 ( 12m - 13 ) =

-11 ( 12m -13 ) = -132m + 143

Solving Expressions

100

3 ( 5 x 5 )

3 ( 5 x 5 )

3 (25)

  75

200

7 + 6 ( 4 - 1) 

7 + 6 ( 4 - 1 )

7 + 6 ( 3 ) 

13 (3) 

   39

300

13 - 12 ( 4 x 10 ) + 2

13 - 12 ( 4 x 10 ) + 2

13 - 12 ( 40) + 2

1 ( 40 ) + 2

40 + 2

    42

400

4 / ( 12 + 8 ) 1

4 / ( 12 + 8 ) 1

4 / ( 20 ) 1

    (5) 1

       5

500

6 x 6 + ( 3 + 3 ) - 1

6 x 6 + ( 3 + 3 ) - 1

6 x 6 + 6 -1

 36 + 6 - 1

    42 - 1

       41