1 / 41

Properties of Numbers

Properties of Numbers. In Algebra County. We’ll learn 5 properties:. Commutative Property Associative Property Distributive Property Identity Inverse. Commutative Property. We commute when we go back and forth from work to home. Algebra terms commute when they trade places.

lark
Download Presentation

Properties of Numbers

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. Properties of Numbers In Algebra County

  2. We’ll learn 5 properties: • Commutative Property • Associative Property • Distributive Property • Identity • Inverse

  3. Commutative Property

  4. We commute when we go back and forth from work to home.

  5. Algebra terms commute when they trade places

  6. This is a statement of the commutative property for addition:

  7. It also works for multiplication:

  8. Associative Property

  9. To associate with someone means that we like to be with them.

  10. The tiger and the panther are associating with each other. They are leaving the lion out. ( )

  11. In algebra:

  12. The panther has decided to befriend the lion. The tiger is left out. ( )

  13. In algebra:

  14. This is a statement of the Associative Property: The variables do not change their order.

  15. The Associative Property also works for multiplication:

  16. Distributive Property

  17. We have already used the distributive property. Sometimes executives ask for help in distributing papers.

  18. The distributive property only has one form. Not one for addition . . .and one for multiplication . . .because both operations are used in one property.

  19. We add here: 4(2x+3) We multiply here:

  20. This is an example of the distributive property. 4(2x+3) =8x +12

  21. Here is the distributive property using variables:

  22. Identity Property

  23. The identity property makes me think about my identity.

  24. The identity property for addition asks, “What can I add to myself to get myself back again?

  25. is the identity element for addition. The above is the identity property for addition.

  26. The identity property for multiplication asks, “What can I multiply to myself to get myself back again?

  27. is the identity element for multiplication. The above is the identity property for multiplication.

  28. Inverse Property

  29. We learned about the inverse property when we did zero pairs.

  30. The inverse property is related to the identity property. This is the identity element for addition.

  31. The whole thing is the inverse property. This is the inverse element for addition.

  32. A statement of the inverse property for addition is:

  33. What is the identity element for multiplication? To keep the same pattern, it would go here. 1

  34. Therefore. . . To keep the same pattern, it would go here.

  35. A statement of the inverse property for multiplication is:

  36. Some examples of the inverse property for multiplication are:

  37. Here are the 4 propertiesthat have to do with addition: x + y = y + x Commutative Associative x + (y + z)= (x + y) + z x + 0 = x Identity Inverse x + (-x) = 0

  38. Here are the 4 propertiesfor multiplication: Commutative xy = yx Associative x(yz)= (xy)z Identity Inverse

  39. The distributive propertycontains both additionand multiplication: Distributive

  40. The End

More Related