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Graciel Core3

Algebraic Property


Commutative Property of Addition  Hey did you know that if you switch the order you will have the same answer.

=

+

9

8 = 0 8 +

9 + 0 Pg 1

J+k =

+

K+ J


Commutative Property of Multiplication  Hey, you can change the order and you still have the same sum.

10x

+ 7 =7

x10

=

+

RxK=KxR Pg 2


Associative Property of Multiplication

 Did you know that you change or flip the numbers you get the same answer. x1= ) 3 x (12

x

x 1) 2 1 ( 3x

=

Pg 3

e= x ) l (K x

x

xe k ( lx

)


Associative Property of Addition Here a trick if you move the numbers you get the same answer.

)j +k

(

(d = d +

+

= Pg 4

j)

+

+ (k

(92

40 + ) 0 +2

+ = 92

40) + 20


Distributive Property  Did you know that if the order was changed it would be the same answer. (

) =

+

+

3(9+8)= 3x9 + 3x8

Pg 5


Multiplicative Property of zero  Any thing time zero is always zero.

x

=

5x0=0 Pg 6


Identity property of addition  Any + 0 is always whatever number you put

+

=

5+0=5

Pg 7


Identity property of x  Any thing time one always stay the same

5x1=5

+

=

Pg 8


Inverse property of +  Any thing + the opposite = 0 8 + -8 = o

+

=

Pg 9


Inverse property of x 2/5 x 5/2 = 10/10 = 1 Any thing x half = 1

/ = x / Pg 10

/

=


gt core 3