Number crunching tons of examples

437 views
234 views

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
437
On SlideShare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
Downloads
2
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Number crunching tons of examples

  1. 1. Number crunching Tons of examples dtcoulson@gmail.com 2014
  2. 2. 8.0 100 80 50 40 454 343 54 43     54 43 (actual answer = 0.796) 0.5% error Convert to decimal:
  3. 3. .333...0 3 2 24 16 48 32 96 64  96 64 No approximation. Answer is exact. Convert to decimal:
  4. 4. .571428...0 7 5 70 50 35 25  35 25 No approximation. Answer is exact. Convert to decimal: 14-28-57-14-28-57....
  5. 5. .960 100 96 50 48 941 939 41 39     41 39 Convert to decimal: (actual answer = 0.951...) 1% error
  6. 6.     .333...0 3 1 133 131 39 13  39 13 Convert to decimal: No approximation. Answer is exact.
  7. 7.     .333...0 3 1 173 171 51 17  51 17 Convert to decimal: No approximation. Answer is exact.
  8. 8. .120 100 12 50 6 25 3  25 3 Convert to decimal: No approximation. Answer is exact.
  9. 9.     .1250 8 1 38 31 24 3  24 3 Convert to decimal: No approximation. Answer is exact.
  10. 10.     .111...0 9 1 39 31 27 3  27 3 Convert to decimal: No approximation. Answer is exact.
  11. 11. .750 4 3 12 9 120 90  120 90 Convert to decimal: No approximation. Answer is exact.
  12. 12. .3750 8 3 16 6  16 6 Convert to decimal: No approximation. Answer is exact.
  13. 13. .050 100 5 99 5  99 5 Convert to decimal: (0.01% error) Small by about 1% 0.05050.0005.050 
  14. 14. .0750 10 1 4 3 40 3        40 3 Convert to decimal: No approximation. Answer is exact.
  15. 15.     ..33.310 3 1 10 6 2 6 20 620 Calculate or estimate: No approximation. Answer is exact.
  16. 16.     9010910 9 81 9 810 9.0 81 9.081 Calculate or estimate: No approximation. Answer is exact.
  17. 17. .63 10 36 5 18 15 54 150 540 75 270 75270 Calculate or estimate: No approximation. Answer is exact.
  18. 18. .777...1 9 7 1 9 16 27 48 270 480 135 240 135240 Calculate or estimate: No approximation. Answer is exact.
  19. 19. .030 100 3 50 5.1 505.1  Calculate or estimate: No approximation. Answer is exact.
  20. 20.     3010 101 101 3 9 10 303 909 303 9090 3.30 909       3.30909 Calculate or estimate: No approximation. Answer is exact.
  21. 21. 5 100 500 101 500 01.1 5 01.15 Calculate or estimate: 0.01% error Too big by about 1% 4.950.05-5 
  22. 22. 10 42 420 2.4 42 2.442 Calculate or estimate: No approximation. Answer is exact.
  23. 23. 4 9 36 90 360 90360 Calculate or estimate: No approximation. Answer is exact.
  24. 24. 125 4 5 100 4 500       4500 Calculate or estimate: No approximation. Answer is exact.
  25. 25.   ..333.1333...333.11000 3 4 1000 3 4000       34000 Calculate or estimate: No approximation. Answer is exact.
  26. 26. $3.30333x11  30$%11 of Calculate or estimate: No approximation. Answer is exact.
  27. 27. $1080x 8 1  80$%5.12 of Calculate or estimate: No approximation. Answer is exact.
  28. 28. 12$%12 of Calculate or estimate: No approximation. Answer is exact. $1.4414412x12  About one-tenth. Close to $1.20
  29. 29. 150$%15 of Calculate or estimate: No approximation. Answer is exact.   $22.502252520x1015x15  About one-tenth. Close to $15
  30. 30. 40$%90 of Calculate or estimate: No approximation. Answer is exact. 36$4-40  One-tenth smaller
  31. 31. 2$%47 of Calculate or estimate: No approximation. Answer is exact. $0.94492x47  About half
  32. 32. 2$%1 of Calculate or estimate: No approximation. Answer is exact. 02.0$
  33. 33. 2$%5.1 of Calculate or estimate: No approximation. Answer is exact. $0.03325.1 x
  34. 34. 50$%51 of Calculate or estimate: No approximation. Answer is exact. $25.105125x15  Expect an answer which is close to $25
  35. 35. 200$%23 of Calculate or estimate: No approximation. Answer is exact. $46642x32  Roughly a quarter of 200
  36. 36. 45$%45 of Calculate or estimate: No approximation. Answer is exact. $20.25250x50454x54  Roughly half of 50
  37. 37. 35x35 Multiplication: No approximation. Answer is exact. 12252540x0353x53 
  38. 38. 92x31 Multiplication: No approximation. Answer is exact. 8991-0392x13 22 
  39. 39. 82x32 Multiplication: No approximation. Answer is exact. 8962-0382x23 22 
  40. 40. 52x35 Multiplication: No approximation. Answer is exact. 8755-0352x53 22 
  41. 41. 52x36 Multiplication: No approximation. Answer is exact. 900100x9 4 100 x6352x63 
  42. 42. 521x888 Multiplication: No approximation. Answer is exact.   111,0001000x1111000 8 1 x888521x888 
  43. 43. 12x11 Multiplication: No approximation. Answer is exact. 3121}12{212x11 
  44. 44. 114x11 Multiplication: No approximation. Answer is exact. 52141}11}{14{4114x11 
  45. 45. .51x42 Multiplication: No approximation. Answer is exact. 631224.51x42 
  46. 46. 51x4.2 Multiplication: No approximation. Answer is exact. 6312245.1x4251x4.2 
  47. 47. 99x011 Multiplication: No approximation. Answer is exact. 999999x011 
  48. 48. 08$of 5 4 Multiplication: No approximation. Answer is exact. $6408$x 10 8 08$x 5 4 
  49. 49. 05$of 25 4 Multiplication: No approximation. Answer is exact. $8 25 50 x405$x 25 4 
  50. 50. 03$of 15 4 Multiplication: No approximation. Answer is exact. $8 15 30 x403$x 15 4 
  51. 51. 01$of 90 45 Multiplication: No approximation. Answer is exact. $510$ofhalf01$of 90 45 
  52. 52. 41$of 21 2 Multiplication: No approximation (except for the dollars and cents rounding) .331$ 3 4 3 2 x2 21 14 x241x 21 2 
  53. 53. 001$of 99 19 Multiplication: 0.01% error 19.19$0.1991 100 011 x19 99 001 x19001x 99 19 
  54. 54. 001$of 69 34 Multiplication: 0.5% error $49001x 100 49 001x 50 5.24 001x 69 34 
  55. 55. 52$of 35 18 Multiplication: 22.12$10 7 9 14 180 140 1800 4 100 x 35 18        exact
  56. 56. 34 Square roots: ..833.5 6 1 6 36 1 16 36 2 16 36 34 634        0.05% error
  57. 57. 30 Square roots: 5.5 12 6 6 36 3 16 36 6 16 36 30 630        0.5% error
  58. 58. 26 Square roots: 1.5 50 5 5 50 1 15 25 1 15 25 26 526        0.02% error
  59. 59. 18 Square roots: 52.4 16 1 14 16 2 14 16 18 418        0.02% error
  60. 60. 160 Square roots: 1316010x61601  3% error
  61. 61. 640 Square roots:   3.25 10 13 24 80 13 3816.381064640        0.007% error
  62. 62. [ENOUGH!]

×