1 / 6

Commutative and Associative Properties

Commutative and Associative Properties. Commutative and Associative Properties. Properties are rules in mathematics. You can use math properties to simplify algebraic expressions!. Commutative and Associative Properties.

mshellenberger
Download Presentation

Commutative and Associative Properties

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Commutative and Associative Properties

  2. Commutative and Associative Properties • Properties are rules in mathematics. • You can use math properties to simplify algebraic expressions!

  3. Commutative and Associative Properties • Commutative Property means changing the order in which you add or multiply numbers does not change the sum or product. • Associative Property means changing the grouping of numbers when adding or multiplying does not change their sum or product. • Grouping symbols are typically parentheses (),but can include brackets [] or Braces {}.

  4. Commutative Properties Example of Commutative Property of addition - (Order) For any numbers a and b , a + b = b + a. 45 + 5 = 5 + 45 50 = 50 Example of Commutative Property of multiplication - (order) For any numbers a and b , ab = ba. 6 8 = 8  6 48 = 48

  5. Associative Properties Example of Associative Property of addition - (grouping symbols) For any numbers a, b, and c, (a + b) + c = a + (b + c). (2 + 4) + 5 = 2 + (4 + 5) (6) + 5 = 2 + (9) 11 = 11 Example of Associative Property of multiplication - (grouping symbols) For any numbers a, b, and c, (ab) c = a (bc). (2  3)  5 = 2  (3  5) (6)  5 = 2  (15) 30 = 30

  6. Identity Properties • Identity Property means when you add 0 to something or multiply a number by 1, the result is IDENTICAL to the original number. • Example: 4+0=4 AND a+0=a • Example: 7x1=7 AND a(1)=a

More Related