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Seventh grade 2011-2012

J. M.

Core 1


Contents       

Page 2 Additive Inverse Property. Page 3 Multiplicative Property Of Zero. Page 4 Multiplicative Identity Property. Page 5 Distributive Property. Page 6 Additive Identity Property. Page 7 Multiplicative Inverse Property. Page 8 Commutative Property Of Addition.  Page 9 Commutative Property Of Multiplication.  Page 10 Associative Property Of Addition.  Page 11 Associative Property Of Multiplication.

Page 1


Additive Inverse Property The sum of a number and its additive inverse always equals zero.

If I add opposites I will always get zero.

Page 2

the additive inverse property states that the sum of a number and its additive inverse always equal zero.

10+(-10)=0


100 x 0 =0 2x0=0

Anything multiplied by zero equals zero

X0

=0

The multiplicative property of zero states that the product of any real number and zero is zero Also called the zero property

Page 3


Multiplicative Identity Property If you take 3 times it by 1 it equals 3

Any number times 1 equals it’s self

The multiplicative identity property states that the product states that the product of any real number and one is equal to the given real number

x Page 4

1=


The distributive property is taking a hard multiplication problem and making it simpler.

Page 5

(2+3) x2 +

x3

Ex. 3(78) 3(70 + 8) 3x70 + 3x8 210 + 24= 234


Any number plus 0 equals itself.

Additive identity property states that the sum of any real number and zero is equal to the given real number.

+0= Page 6

Ex. 999+0=999 2+0=2


The multiplicative inverse property states that the product of a number and its multiplicative inverse (or reciprocal) always equals one.

a/b x b/a =1 8x 1/8=1

x Page 7

=1


A+B=B+A

+ Page 8

The commutative property of addition states that the order of a problem doesn't matter Ex. 5+4=4+5 they both equal 9

=

+


The commutative property of multiplication states that it doesn't matter what order the factors are in you will still get the same product

A x B =B x A 5 billion x 3 = 3 x 5 billion

x Page 9

=

x


The associative property of addition states that regrouping the addens does not change the sum.

(

+

(

+ Page 10

Regrouping the addens does not affect the sum.

(7+9)+61=7+(9+61) (2+1)+5=2+(1+5)

)+ +

)


The Associative property of multiplication states that regrouping the factors does not change the product

( Page 11

x x(

(5 x 5) x 2 = 5 x (5 x 2)

)x x

)


JM 1