Properties and Mental Properties and Mental ComputationComputation

p. 80p. 80

Math talkMath talk

What are some math properties What are some math properties that we use? Why do you think that we use? Why do you think we have them? Do you ever use we have them? Do you ever use them?them?

Commutative PropertyCommutative Property

Commutative Property of Commutative Property of additionaddition

a+b = b+aa+b = b+a

Commutative Property of Commutative Property of multiplicationmultiplication

a x b = b x aa x b = b x a

Distributive PropertyDistributive Property

This property has multiplication This property has multiplication and either addition or and either addition or subtractionsubtraction

a(b + c) = ab + aca(b + c) = ab + ac

a(b – c) = ab - aca(b – c) = ab - ac

Associative PropertyAssociative Property

Associative property of additionAssociative property of addition

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

Associative property of Associative property of multiplicationmultiplication

(a x b) x c = a x (b x c)(a x b) x c = a x (b x c)

Please look at p. 84Please look at p. 84

Properties of equalityProperties of equality Reflexive property a=aReflexive property a=a Symmetric property a=b b=aSymmetric property a=b b=a Transitive propertyTransitive property

a=b and b=c, then a=ca=b and b=c, then a=c

Please look at p. 86 #5 #6Please look at p. 86 #5 #6