Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill.

Becky Afghani, LBUSD Math Curriculum Office, 2004

PropertiesBeat the Computer Drill


Directions

•A slide will appear showing an equation which illustrates a property.

•Say the property aloud before the computer can answer (6 sec).

•You will hear a sound when the slide changes.


a + b = b + a


Commutative Property for

Addition

a + b = b + a


ab + ac = a(b + c)


Distributive Property

ab + ac = a(b + c)


a b = b a


Commutative Property for

Multiplicationa b = b a


a 1 = a


Multiplicative

Identity Propertya 1 = a


a + 0 = a


Additive Identity Property

a + 0 = a


(a b) c = a (b c)


Associative Property for

Multiplication(a b) c = a (b c)


(a + b) + c = a + (b + c)


Associative Property for

Addition(a + b) + c = a + (b +

c)


a + (-a) = 0


Additive Inverse Property

a + (-a) = 0


a(b + c) = ab + ac


Distributive Property

a(b + c) = ab + ac


a 0 = 0


Multiplicative

Property of Zeroa 0 = 0


a = 1a1


Multiplicative Inverse Property

a = 1a1


If x = b, then

x + c = b + c


Addition Property of

EqualityIf x = b, then x + c = b + c


If x = b, then

x c = b c


Multiplication Property of

EqualityIf x = b, then x c = b c


a = a


Reflexive Property of

Equalitya = a


If a = b, then b =

a


Symmetric Property of

EqualityIf a = b, then b = a


If a = b, and b = c, then a = c


Transitive Property of

EqualityIf a = b, and b = c,

then a = c


If x = 3, then 5x =

15


Substitution Property of

EqualityIf x = 3, then 5x = 15


Good Job!

Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill.

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