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18 Properties

18 Properties. MathScience Innovation Center Mrs. B. Davis. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers. Properties of Real Numbers.

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18 Properties

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  1. 18 Properties MathScience Innovation Center Mrs. B. Davis

  2. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  3. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  4. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  5. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  6. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  7. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  8. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  9. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  10. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  11. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  12. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  13. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  14. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  15. Properties of Real Numbers 18 Properties B. Davis MathScience Innovation Center

  16. One more property of real numbers… Distributive Property a(b+c) = ab + ac Or ab+ac = a(b + c) 18 Properties B. Davis MathScience Innovation Center

  17. Properties of Equality • You may • Add • Subtract • Multiply • Divide ( by anything except 0) • As long as you operate on both sides ! 18 Properties B. Davis MathScience Innovation Center

  18. Addition Subtraction Multiplication Division If a = 5, then a + 1 = 5 + 1 If a = 5, then a - 3 = 5 - 3 If a = 5, then a x 9 = 5 x 9 If a = 5, then a /2 = 5 /2 Properties of Equality 18 Properties B. Davis MathScience Innovation Center

  19. Properties of Equality • Reflexive • Symmetric • Transitive 18 Properties B. Davis MathScience Innovation Center

  20. Properties of Equality • Reflexive 1 • Symmetric 2 • Transitive 3 18 Properties B. Davis MathScience Innovation Center

  21. Properties of Equality • Reflexive 1 a= a • Symmetric 2 • Transitive 3 18 Properties B. Davis MathScience Innovation Center

  22. Properties of Equality • Reflexive 1 a= a • Symmetric 2 If a = b, then b = a. • Transitive 3 18 Properties B. Davis MathScience Innovation Center

  23. Properties of Equality • Reflexive 1 a= a • Symmetric 2 If a = b, then b = a. • Transitive 3 If a = b, and b = c, then a = c. 18 Properties B. Davis MathScience Innovation Center

  24. Reflexive a= a Properties of Equality Transitive Symmetric If a = b, and b = c, then a = c. If a = b, then b = a. 18 Properties B. Davis MathScience Innovation Center

  25. Which property is it? Distributive Property a(b+c) = ab + ac Or ab+ac = a(b + c) 18 Properties B. Davis MathScience Innovation Center

  26. Which property is it? Commutative Property of Multiplication a(b+c) = (b+c)a 18 Properties B. Davis MathScience Innovation Center

  27. Which property is it? Reflexive Property of Equality a(b+c) = a(b+c) 18 Properties B. Davis MathScience Innovation Center

  28. Which property is it? Identity Property of Multiplication 1(b+c) = b+ c 18 Properties B. Davis MathScience Innovation Center

  29. Which property is it? Symmetric Property of Equality If 2 + 3x = 5 Then 5 = 2 + 3x 18 Properties B. Davis MathScience Innovation Center

  30. Substitution property If 2 + 3x = 5y, and x= 2 Then 2 + 3(2)= 5y Which is an example for the property? Transitive Property of Equality If 2 + 3x = 5, and 5 = 6b Then 2 + 3x= 6b If 2 + 3x = 5, and 5 = 6b Then 2 + 3x= 6b If 2 + 3x = 5y, and x= 2 Then 2 + 3(2)= 5y 18 Properties B. Davis MathScience Innovation Center

  31. Identity Property of Addition 4 + 0 = 4 And 0 + 4 = 4 Which example for the property? Property of Additive Inverses 4 + -4 = 0 And -4 + 4 = 0 4 + 0 = 4 And 0 + 4 = 4 4 + -4 = 0 And -4 + 4 = 0 18 Properties B. Davis MathScience Innovation Center

  32. Commutative Property for Addition 4(x+y)=4(y+x) Which is an example for the property? Commutative Property for Multiplication 4(x + y)=(x+y)4 4(x+y)=4(y+x) 4(x+y)=(x+y)4 18 Properties B. Davis MathScience Innovation Center

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