E.R. Core 3

ErickErickCore 3Core 3

Algebraic Property BookAlgebraic Property Book

Commutative Property of Commutative Property of AdditionAddition

+ = +

Oh my gosh, look you can switch the order of the addends and still get the SAME ANSWER!

23+25

=25+23

D + C = C + D

Page 1

Commutative Property of Commutative Property of MultiplicationMultiplication

X = X

Oh my gosh, look I just switched the numbers around and still got the SAME ANSWER!

23x2

5=25

x23

D x C = C x D

Page 2

Associative Property Of Associative Property Of AdditionAddition

The order of which you do The order of which you do

the problem does the problem does not change the SUM.not change the SUM.

(A+B)+C=A+(B+C)

+( ) + = +( + )

(1+9)+2=1+(9+2)

Page 3

Associative property of Associative property of multiplicationmultiplication

(AxD)xC

=Ax(DxC

)

(1x3)x2=1x(3x2)

Page 4

You can group them different ways and still get the same answer.

( x )x = x( x)

Distributive PropertyDistributive PropertyRemove the parentheses then multiply first then add.

Ex(S+

R)4x(8+3)

x ( +)

Multiplicative property of 0Multiplicative property of 0The product of factor and zero is zero.

Ax0=0

50x0

=0

x 0=0

Identity property of +Identity property of +The sum of the addend and 0 is the addend.

A+0=A

5+0=5

+ 0 =

Identity property of xIdentity property of xThe product of a factor and 1 is the factor.

Ax1=A

8x1=8

X 1 =

Inverse property of +Inverse property of +The sum of any number and its opposite is zero.

A+-A=0 3+-3=0

+ - = 0

Inverse property of xInverse property of xThe product of a number and its opposite is 1.