Becky Afghani, LBUSD Math Curriculum Office, 2004

PropertiesBeat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

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.

Becky Afghani, LBUSD Math Curriculum Office, 2004

a + b = b + a

Becky Afghani, LBUSD Math Curriculum Office, 2004

Commutative Property for

Addition

a + b = b + a

Becky Afghani, LBUSD Math Curriculum Office, 2004

ab + ac = a(b + c)

Becky Afghani, LBUSD Math Curriculum Office, 2004

Distributive Property

ab + ac = a(b + c)

Becky Afghani, LBUSD Math Curriculum Office, 2004

a b = b a

Becky Afghani, LBUSD Math Curriculum Office, 2004

Commutative Property for

Multiplicationa b = b a

Becky Afghani, LBUSD Math Curriculum Office, 2004

a 1 = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplicative

Identity Propertya 1 = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

a + 0 = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

Additive Identity Property

a + 0 = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

(a b) c = a (b c)

Becky Afghani, LBUSD Math Curriculum Office, 2004

Associative Property for

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

Becky Afghani, LBUSD Math Curriculum Office, 2004

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

Becky Afghani, LBUSD Math Curriculum Office, 2004

Associative Property for

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

c)

Becky Afghani, LBUSD Math Curriculum Office, 2004

a + (-a) = 0

Becky Afghani, LBUSD Math Curriculum Office, 2004

Additive Inverse Property

a + (-a) = 0

Becky Afghani, LBUSD Math Curriculum Office, 2004

a(b + c) = ab + ac

Becky Afghani, LBUSD Math Curriculum Office, 2004

Distributive Property

a(b + c) = ab + ac

Becky Afghani, LBUSD Math Curriculum Office, 2004

a 0 = 0

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplicative

Property of Zeroa 0 = 0

Becky Afghani, LBUSD Math Curriculum Office, 2004

a = 1a1

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplicative Inverse Property

a = 1a1

Becky Afghani, LBUSD Math Curriculum Office, 2004

If x = b, then

x + c = b + c

Becky Afghani, LBUSD Math Curriculum Office, 2004

Addition Property of

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

Becky Afghani, LBUSD Math Curriculum Office, 2004

If x = b, then

x c = b c

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplication Property of

EqualityIf x = b, then x c = b c

Becky Afghani, LBUSD Math Curriculum Office, 2004

a = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

Reflexive Property of

Equalitya = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

If a = b, then b =

a

Becky Afghani, LBUSD Math Curriculum Office, 2004

Symmetric Property of

EqualityIf a = b, then b = a

Becky Afghani, LBUSD Math Curriculum Office, 2004

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

Becky Afghani, LBUSD Math Curriculum Office, 2004

Transitive Property of

EqualityIf a = b, and b = c,

then a = c

Becky Afghani, LBUSD Math Curriculum Office, 2004

If x = 3, then 5x =

15

Becky Afghani, LBUSD Math Curriculum Office, 2004

Substitution Property of

EqualityIf x = 3, then 5x = 15

Becky Afghani, LBUSD Math Curriculum Office, 2004

Good Job!