Properties of Numbers We’ll learn 4 properties: Commutative Property Associative Property...
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Transcript of Properties of Numbers We’ll learn 4 properties: Commutative Property Associative Property...
This is a statement of theAssociative Property:
( ) ( )x y z x y z
The variables do not change their order.
We have already used thedistributive property.
Sometimes executives askfor help in distributing
papers.
The distributive property onlyhas one form.
Not one foraddition . . .and one for
multiplication
. . .because both operations areused in one property.
The identity property for multiplication
asks, “What can I multiply to myself
to get myself back again?
(_ )x x1
The above is the identity propertyfor multiplication.
1
is the identity elementfor multiplication.1
(_ )x x
Here are the 3 propertiesthat have to do with
addition:x + y = y + x
x + (y + z)= (x + y) + z
x + 0 = x
Commutative
Associative
Identity
Here are the 3 propertiesfor multiplication:
xy = yx
x(yz)= (xy)z
Commutative
Associative
Identity 1x x