Algebraic Property Magazine Seventh Grade 2011-2012

K.M.G. Core 4

Page 2 Additive Inverse Property Page 3 Multiplicative identity propertyď Š Page 4 distributive property. (: Page 5 Additive identity property Page 6 distributive property Page 7 multiplication inverse property Page 8 associative property of multiplication Page 9 associative property addition Page 10 commutative property multiplication Page 11communative property of additon Page 12 commutative property of multiplication

Additive Inverse Property. The sum of a number and its additive inverse always equals zero. If I add opposites I always get zero!!

Opposites.

Multiplicative Identity Property The Multiplicative identity Property states that any number multiplied by one is itself.

It doesn't matter if you flip or flop it, any number no matter how low or high it is multiplied by 1 is itself.

Additive identity property Additive Identity Property: For any number a, a+0 = 0+a = a *0 is the additive inverse - just says that any number added to 0 is that number, and that you can add a plus zero anywhere without changing anything

+

0=

Distributive property The Distributive Property lets you multiply a sum by multiplying each addend separately and then add the products. :) Example: I have to quickly multiply: 4 x 53 (4 x 50) + (4 x 3) 200 + 12 212

Multiplication Inverse Property The identity property of multiplication, also called the multiplication property of one says that a number does not change when that number is multiplied by 1.

X1=

Associative

property of addition

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 2 + (3 + 4)

( + )+ = +( + )

commutative property of addition Commutative Property of Addition: It states that changing the order of addends does not change the sum. , a + b = b + a.

2+1=1+2

Commutative property of multiplication Commutative Property of Multiplication: It states that changing the order of factors does not change the product. That is, a Ă— b = b Ă— a.

x

=

x

Associative property of addition Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 2 + (3 + 4)

Associative property of multiplication The property that states that when multiplying three or more numbers, the product is always the same regardless of their grouping. (a × b) × c = a × (b × c)