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Addition & Subtraction of Integers

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Working with integers is a major area of pain where students usually start mugging up algebra and that's the beginning of the end of logical thinking. This presentation aims at explaining graphically the addition and subtraction of integers.

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Addition & Subtraction of Integers

  1. 1. Addition & SubtractionAddition & Subtraction of Integers
  2. 2. - 4 + 6
  3. 3. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + +
  4. 4. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here
  5. 5. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here +
  6. 6. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here + means GO RIGHT
  7. 7. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here + means GO RIGHT 6 steps
  8. 8. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 1 + means GO RIGHT 6 steps
  9. 9. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 2 + means GO RIGHT 6 steps
  10. 10. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 3 + means GO RIGHT 6 steps
  11. 11. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 4 + means GO RIGHT 6 steps
  12. 12. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 5 + means GO RIGHT 6 steps
  13. 13. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 6 + means GO RIGHT 6 steps
  14. 14. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 6 + means GO RIGHT 6 steps - 4 + 6 = 2
  15. 15. - 4 + 6 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 6 + means GO RIGHT 6 steps - 4 + 6 = +2
  16. 16. Another Problem
  17. 17. - 2 - 3
  18. 18. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + +
  19. 19. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here
  20. 20. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here –
  21. 21. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here – means GO LEFT
  22. 22. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here – means GO LEFT 3 steps
  23. 23. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 1 means GO LEFT 3 steps –
  24. 24. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 2 means GO LEFT 3 steps –
  25. 25. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 3 means GO LEFT 3 steps –
  26. 26. - 2 - 3 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 3 means GO LEFT 3 steps – - 2 - 3 = - 5
  27. 27. Another Problem
  28. 28. - 5 + 2
  29. 29. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + +
  30. 30. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here
  31. 31. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here +
  32. 32. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here + means GO RIGHT
  33. 33. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + start here + means GO RIGHT 2 steps
  34. 34. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 1 + means GO RIGHT 2 steps
  35. 35. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 2 + means GO RIGHT 2 steps
  36. 36. - 5 + 2 0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + + 2 + means GO RIGHT 2 steps - 5 + 2 = - 3

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