101 Properties Real Numbers Part 1

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Properties of real numbers lesson

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101 Properties Real Numbers Part 1

  1. 1. Basic Properties of Real Numbers Rules that real numbers follow 10/25/09 Algebra 1.1 Bitsy Griffin
  2. 2. Essential Question <ul><li>What are the basic properties of real numbers? </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  3. 3. Commutative 10/25/09 Algebra 1.1 Bitsy Griffin
  4. 4. Commutative <ul><li>Addition </li></ul><ul><li>a+b+c=c+a+b </li></ul><ul><li>45+98+15=15+98+45 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  5. 5. Commutative <ul><li>Multiplication </li></ul><ul><li>a x b x c = c x a x b </li></ul><ul><li>25 x 21 x 4 = 4 x 25 x 21 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  6. 6. Commutative <ul><li>Caution! </li></ul><ul><li>Works with + & x </li></ul><ul><li>Not with - & / </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  7. 7. Associative 10/25/09 Algebra 1.1 Bitsy Griffin
  8. 8. Associative <ul><li>Addition </li></ul><ul><li>(a + b) + c = a + (b + c) </li></ul><ul><li>(8 + 7) + 3 = 8 + (7 + 3) </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  9. 9. Associative <ul><li>Multiplication </li></ul><ul><li>(a x b) x c = a x (b x c) </li></ul><ul><li>(6 x 4) x 5 = 6 x (4 x 5) </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  10. 10. Distributive 10/25/09 Algebra 1.1 Bitsy Griffin
  11. 11. Distributive <ul><li>Addition </li></ul><ul><li>a(b + c) = ab + ac </li></ul><ul><li>4(2x + 5) = 8x + 20 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  12. 12. Distributive <ul><li>Subtraction </li></ul><ul><li>a(b + c) = ab + ac </li></ul><ul><li>4(4x - 2) = 16x - 8 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  13. 13. Identity 10/25/09 Algebra 1.1 Bitsy Griffin
  14. 14. Identity <ul><li>Addition </li></ul><ul><li>a + 0 = a </li></ul><ul><li>5 + 0 = 5 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  15. 15. Identity <ul><li>Multiplication </li></ul><ul><li>a x 1 = a </li></ul><ul><li>9 x 1 = 9 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  16. 16. Zero Property 10/25/09 Algebra 1.1 Bitsy Griffin
  17. 17. Zero Property <ul><li>Multiplication </li></ul><ul><li>a x 0 = 0 </li></ul><ul><li>8 x 0 = 0 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  18. 18. Inverse 10/25/09 Algebra 1.1 Bitsy Griffin
  19. 19. Inverse <ul><li>Addition </li></ul><ul><li>a + -a = 0 </li></ul><ul><li>7 + - 7 = 0 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  20. 20. Inverse <ul><li>Multiplication </li></ul><ul><li>a x 1/a = 1 </li></ul><ul><li>3 x 1/3 = 1 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  21. 21. Equality 10/25/09 Algebra 1.1 Bitsy Griffin
  22. 22. Equality <ul><li>Addition </li></ul><ul><li>If a=b, then </li></ul><ul><li>a+c=b+c </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  23. 23. Equality <ul><li>Subtraction </li></ul><ul><li>If a=b, then </li></ul><ul><li>a-c=b-c </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  24. 24. Equality <ul><li>Multiplication </li></ul><ul><li>If a=b, then </li></ul><ul><li>ac=bc </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  25. 25. Equality <ul><li>Division </li></ul><ul><li>If a=b, then </li></ul><ul><li>a/c=b/c </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
  26. 26. Essential Question <ul><li>What are the basic properties of real numbers? </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin

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