Properties

transcript

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 +

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

Reflexive Property of

Equalitya = a

If a = b, then b =

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 =

Substitution Property of

EqualityIf x = 3, then 5x = 15

Good Job!

Properties

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