Commutative and Associative Properties
Download
1 / 6

Commutative and Associative Properties - PowerPoint PPT Presentation


  • 246 Views
  • Updated On :

Commutative and Associative Properties. Commutative and Associative Properties. Commutative Property – changing the order in which you add or multiply numbers does not change the sum or product.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Commutative and Associative Properties' - Pat_Xavi


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Slide2 l.jpg

Commutative and Associative Properties

  • Commutative Property – changing the order in which you add or multiply numbers does not change the sum or product.

  • Associative Property – 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 {}.


Slide3 l.jpg

Commutative and Associative Properties

Commutative Properties

Commutative Property of addition - (Order)

For any numbers a and b , a + b = b + a

45 + 5 = 5 + 45

50 = 50

Commutative Property of multiplication - (order)

For any numbers a and b , a  b = b  a

6 8 = 8  6

48 = 48


Slide4 l.jpg

Commutative and Associative Properties

Associative Properties

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

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


Slide5 l.jpg

Commutative and Associative Properties

Commutative and associative properties are very helpful to solve problems using mental math strategies

Rewrite the problem by grouping numbers that can be formed easily. (Associative property)

This process may change the order in which the original problem was introduced. (Commutative property)

Solve: 18 + 13 + 16 + 27 + 22 + 24

(18 + 22) + (16 + 24) + (13 + 27)

(40) + (40) + (40) = 120


Slide6 l.jpg

Commutative and Associative Properties

Commutative and associative properties are very helpful to solve problems using mental math strategies

Solve: 4  7  25

Rewrite the problem by changing the order in which the original problem was introduced. (Commutative property)

4  25  7

Group numbers that can be formed easily. (Associative property)

(4  25)  7

(100)  7 = 700


ad