1 / 39

Properties

Properties. Properties. A property is something that is true for all situations. Six Properties of Addition and Multiplication. Distributive Commutative Associative Identity Inverse Multiplicative Property of Zero. Distributive Property. A(B + C) = AB + AC 4(3 + 5) = 4 • 3 + 4 • 5.

faith
Download Presentation

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. Properties

  2. Properties • A property is something that is true for all situations.

  3. Six PropertiesofAddition and Multiplication • Distributive • Commutative • Associative • Identity • Inverse • Multiplicative Property of Zero

  4. Distributive Property • A(B + C) = AB + AC 4(3 + 5) = 4 • 3 + 4 • 5

  5. Commutative Propertyof addition and multiplication Order doesn’t matter A • B = B • A A + B = B + A CO = Change Order

  6. Associative Property of multiplication and Addition • Addition (a + b) + c = a + (b + c) Example: (6 + 4) + 3 = 6 + (4 + 3) • Multiplication (a · b) · c = a · (b · c) Example: (6 · 4) · 3 = 6 · (4 · 3) SO = Same Order

  7. Identity Properties • If you add 0 to any number, the number stays the same. A + 0 = A or 5 + 0 = 5 If you multiply any number times 1, the number stays the same. A • 1 = A or 5 • 1 = 5

  8. Inverse Properties • Addition: a + -a = 0 or 5 + -5=0 • Multiplication: a • 1 = 1 or 5 • 1 = 1 a 5

  9. Multiplicative Property of Zero • Any number times zero will give you the product of 0 (zero) a • 0 = 0 4 • 0 = 0 or 0 • 4=0

  10. Which Property?

  11. Which Property? (2 + 1) + 4 = 2 +(1 + 4) Associative Property of Addition

  12. Which Property? 3 + 7 = 7 + 3 Commutative Property of Addition

  13. Which Property? 8 + 0 = 8 Identity Property of Addition

  14. Which Property? 6 • 4 = 4 • 6 Commutative Property of Multiplication

  15. Which Property? 17 + (-17) = 0 Inverse Property of Addition

  16. Which Property? 2(5) = 5(2) Commutative Property of Multiplication

  17. Which Property? 3(2 + 5) = 3•2 + 3•5 Distributive Property

  18. Which Property? 6(7•8) = (6•7)8 Associative Property of Multiplication

  19. Which Property? 5 • 1 = 5 Identity Property of Multiplication

  20. Which Property? (6 – 3)4 = 6•4 – 3•4 Distributive Property

  21. Which Property? 1(-9) = -9 Identity Property of Multiplication

  22. Which Property? 3 + (-3) = 0 Inverse Property of Addition

  23. Which Property? 1 + [-9 + 3] = [1 + (-9)] + 3 Associative Property of Addition

  24. Which Property? -3(6) = 6(-3) Commutative Property of Multiplication

  25. Which Property? -8 + 0 = -8 Identity Property of Addition

  26. Which Property? 3•7 – 3•4 = 3(7 – 4) Distributive Property

  27. Which Property? 6 + [(3 + (-2)] = (6 + 3) +(- 2) Associative Property of Addition

  28. Which Property? 7 + (-5) = -5 + 7 Commutative Property of Addition

  29. Which Property? (5 + 4)9 = 45 + 36 Distributive Property

  30. Which Property? -3(5 • 4) = (-3 • 5)4 Associative Property of Multiplication

  31. Which Property? -8(4) = 4(-8) Commutative Property of Multiplication

  32. Which Property? ab = ba Commutative Property of Multiplication

  33. Which Property? a + 0 = a Identity Property of Addition

  34. Which Property? a(bc) = (ab)c Associative Property of Multiplication

  35. Which Property? a•1 = a Identity Property of Multiplication

  36. Which Property? a +b = b + a Commutative Property of Addition

  37. Which Property? a(b + c) = ab + ac Distributive Property

  38. Which Property? a +(b + c) = (a +b)+ c Associative Property of Addition

  39. Which Property? a + (-a) = 0 Inverse Property of Addition

More Related