Algebraic Property Magazine Seventh grade 2011- 2012 R.B Core 1

Contents • • • • • • • •

Page 2 Additive Inverse Property Page 3Multiplicative of Zero Page 4 Multiplicative Identity Page 5 Distributive Property Page 6 Additive Identity Page 7 Multiplicative Inverse Page 8 Commutative Addition Page 9 Commutative Multiplication

• Page 10 Associative Addition Page 11 Associative Multiplication

1

The sum of a number and its additive inverse always equals Zero!

If you add opposites youâ&#x20AC;&#x2122;ll always Subtraction get a Zero!

will not work. Hint the name!

+(-

)=0

The Additive Inverse Property states that the sum of any number and its Additive inverse always equal zero.

2

Mu ltip licativ e Pro p e rty o f Ze ro If you multiply any number by zero you will all ways get zero!

x0=0

The Multiplicative Property of Zero states that the product of any real number and zero is zero

You will all ways get a 0 3

Multiplicative Identity Property Any number multiplied by 1 keeps its Identity!

x 1=

7x1=1

4

Distributive Property The product of any number and the sum of the two other number equals a sum of that product and each numbers.

x(

x

)=

The distributive property states that the product of any number and the sum of two other numbers equals the sum of the product of the number and each other number

x

+

x

5

You Add a number by 0 and all ways get the same as you started with!

+

= You canâ&#x20AC;&#x2122;t subtract!

6

Multiplicative Inverse Property The Multiplicative Inverse Property states that the product of a number and its multiplicative inverse ( or reciprocal) always equals 1 a b - X -=1 b a

You multiply by the reciprocal of the number.

5 X 1/5 = 1

X

=1 7

states that changing the order of the addends does not change the sum.

r+b=b+r Is you change the order of the numbers it( rnb ) + ( abc ) = ( abc ) ( rnb ) doesnâ&#x20AC;&#x2122;t change the answer to the problem!

+

=

+

8

Commutative Property of Multiplication The Commutative Property of Multiplication states that the changing the order of the fractions does not change the product.

You canâ&#x20AC;&#x2122;t Divide! That is you flip the numbers of multiplication around you get the same answer.

X

=

ab X cd = cd X ab 6+ 5 X 3 = 6+3X5

X

9

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