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Darion Core 3 Algebra Property Project


Identity property of adding  The sum of an addend and zero is the addend +

=

A+0=A


Identity property of X  The product of a factor and one is the factor Ax1=A

X

=


Inverse property of X  The product of a number and is opposite is one. This is often used with fractions and their reciprocals. ex. a/b x b/a = 1 /

X

/

=

1


Inverse property of adding  the sum of any number and its opposite is zero. Ex. A + -A = 0 + -

=

0


Commutative Property Of Addition Guess what, if you switch the order of addition it still equals the same.

7+ 5= 5

+7

D+ B

+

=

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+

=B

+D


Commutative Property Of Multiplication Guess what, if you switch the order of multiplication it still equals the same. Dx B=

x7 5 5= x 7

X

=

Page 2

X

Bx D


Ass0ciative property of addition  The order in which the way the factors are grouped (adding) does not change.  Ex.(4+6)+8=4+(6+8)

+

(

)

+

)

+

=

+ (


Associative Property Of Multiplication  The w ay the fac to rs are g ro up e d do e s no t c hang e the p ro duc t. (

)

x

x

(

x

x

)


[

Distributive property  Multiplying grouped addends results in the same answer. +

x [

+

]

]

x

=

=


Multiplicative property of zero  The product of a factor and zero is zero 6x0=0

x

=

DK core3  

property project

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