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Algebraic Property BookAlgebraic Property Book

Commutative Property Of Commutative Property Of AdditionAddition

21 + 13 = 13 + 21

Look, I switched the addends and its sill the same sum!

E + J = J + E

E + J = J + E

+ = +Page Page 11

Commutative Property Of Commutative Property Of MultiplicationMultiplication

21 x 13 = 13 x 21

Look, I switched the numbers and its sill the same answer

E x J = J x E

E x J = J x E

x = xPage Page 22

Associative Property of Associative Property of AdditionAddition

The way the addends are grouped dose not The way the addends are grouped dose not change the sum.change the sum.

(A + D) + C = A + ( D + C )(A + D) + C = A + ( D + C )

( 4 + 6 ) + 8 = 4 + ( 6 + ( 4 + 6 ) + 8 = 4 + ( 6 + 8 )8 )

( + )+ = + ( ( + )+ = + ( + + ) )

Associative Property of Associative Property of multiplicationmultiplication

The way the addends are grouped dose not The way the addends are grouped dose not change the sum.change the sum.

(A (A xx D) D) xx C = A C = A xx ( D ( D xx C ) C )

( 4 ( 4 xx 6 ) 6 ) xx 8 = 4 8 = 4 xx ( 6 ( 6 xx 8 ) 8 )

( x )x = x ( ( x )x = x ( x x ) )

IDENTITY PROPERTY IDENTITY PROPERTY The SUM of an addend and zero is the The SUM of an addend and zero is the

addend addend

+ = + =

A+0=A+0=AA

6+06+0

=6=6

IDENTITY PROPERTY OF IDENTITY PROPERTY OF ADDITIONADDITION

The product of a factor and one is the The product of a factor and one is the factor factor

X = X =

A X A X 1=A1=A6 X

6 X

1=61=6

ADDITION INVRTSE ADDITION INVRTSE PROPERTYPROPERTYTHE SUM OF ANY NUMBER AND ITS THE SUM OF ANY NUMBER AND ITS

OPPOSITE IS ZORE OPPOSITE IS ZORE

+ + -- = =

A+

-A+

-A=

0A=

05

+ -5

=

5 +

-5 =

00

MULTIPLICATIVE INVERSE MULTIPLICATIVE INVERSE PROPERTY PROPERTY

The sun of an addend and zero is the The sun of an addend and zero is the addend addend

/ X / / X / = =

a/s x s/a

a/s x s/a = 1= 1

1/2 x 2/1 =

1/2 x 2/1 =

11