Download presentation

Presentation is loading. Please wait.

Published byVicente Brede Modified over 2 years ago

1
3.1 Commutative Associate and Distributive Properties + - x

2
Commutative Property (The #’s move) Comm. Prop. Of Add Comm. Prop. Of mult. In a sum, you can add terms in any order In a product, you can mult. Factors in any order Algebra: a + b=b + a Algebra: ab = ba Ex: 6 + 9 = 9 + 6 Ex: 4·7 = 7·4

3
Associative Property (The parentheses move) Asso. Prop. Of Add Asso. Prop. Of Mult. Changing the grouping of the terms won’t change the sum Changing the grouping of the factors won’t change the product Algebra: (a+b)+c = a+(b+c) Algebra: (ab)c = a(bc) Ex: (9+5)+6=9+(5+6) Ex: (5·10)3=5(10·3)

4
Distributive Property Definitions: Equivalent numerical expressions: Definitions: Equivalent numerical expressions: Expressions that have the same value Distributive Property: Algebra: a(b + c) = ab + ac Arithmetic: 4(3 + 8) = 4(3) + 4(8) Arithmetic: 4(3 - 8) = 4(3) - 4(8)

5
Examples: Identify the Properties a) (5+7)+13 = 5+(7+13) b) 34 ● 6 = 6 ● 34 c) 26+23+4= 26+4+23 d) 23(8 ●5)= (23 ●8)5 The parentheses moved Asso. Prop. Of Add. The #’s movedComm. Prop. of Mult. The #’s movedComm. Prop. Of Add The parentheses movedAsso. Prop. Of Mult.

6
Examples Justify each step a) 43+29+7=43+7+29 =(43+7) + 29 =50+29=79 Comm. Prop. of Add. Asso. Prop. of Add. Add. Comm. Prop. Of Mult. Asso. Prop. Of Mult. Multiply

7
Examples Rewrite 43 as a sum Distributive Prop. Mult. Then add. 5(43)=5(40+3) =5(40)+5(3) =200 + 15 = 215 Write each product using Distribute Prop. 5(43)

Similar presentations

OK

Properties of Real Numbers CommutativeAssociativeDistributive Identity + × Inverse + ×

Properties of Real Numbers CommutativeAssociativeDistributive Identity + × Inverse + ×

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on brushless servo motor Ppt on instrument landing system localizer Ppt on climate change in india Ppt on human chromosomes vs primates Ppt on trade promotion Ppt on spiritual leadership training Ppt on computer network topology Ppt on power generation using footsteps of jesus Ppt on collections in java Ppt on managerial economics introduction