Significant Digits

# Significant Digits

Télécharger la présentation

## Significant Digits

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript

1. Significant Digits By Michelle Lamary and Caitlin Ostrowski

2. Counting Significant Digit Rules • All non-zero digits are significant (725 , 2, 12) • Trapped zeros are significant (101, 2003) • Ending zeros are significant only if the decimal point can be seen (100. , 1.10, 100, 20) • Leading (beginning) zeros are never significant (0.001, 0.9)

3. Example 1 • 401700.0900

4. Example 1 - Answer • 401700.0900 • Rule 1 – 4 sig digs non-zero digits

5. Example 1 - Answer • 401700.0900 • Rule 1 – 4 sig digs non-zero digits • Rule 2 – 4 sig digs trapped zeros

6. Example 1 - Answer • 401700.0900 • Rule 1 – 4 sig digs non-zero digits • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 2 ending zeros

7. Example 1 - Answer • 401700.0900 • Rule 1 – 4 sig digs non-zero digits • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown

8. Example 1 - Answer • 401700.0900 • Rule 1 – 4 sig digs non-zero digits • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown • Rule 4 – 0 beginning zeros

9. Example 1 - Answer • 401700.0900 • Rule 1 – 4 sig digs non-zero digits • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown • Rule 4 – 0 beginning zeros • 10 Significant Digits

10. Example 2 • 0.007050

11. Example 2 - Answer • 0.007050 • Rule 1 – 2 sig digs non-zero numbers

12. Example 2 - Answer • 0.007050 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 1 sig dig trapped zero

13. Example 2 - Answer • 0.007050 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 1 sig dig trapped zero • Rule 3 – 1 ending zero

14. Example 2 - Answer • 0.007050 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 1 sig dig trapped zero • Rule 3 – 1 sig dig ending zero with decimal point is shown

15. Example 2 - Answer • 0.007050 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 1 sig dig trapped zero • Rule 3 – 1 sig dig ending zero with decimal point is shown • Rule 4 – beginning zeros are not significant (3 beginning zeros)

16. Example 2 - Answer • 0.007050 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 1 sig dig trapped zero • Rule 3 – 1 sig dig ending zero with decimal point is shown • Rule 4 – beginning zeros are not significant (3 beginning zeros) • 4 significant digits

17. Example 3 • 700.

18. Example 3 - Answer • 700. • Rule 1 – 1 sig dig non-zero number

19. Example 3 - Answer • 700. • Rule 1 – 1 sig dig non-zero number • Rule 2 – 0 sig dig trapped zeros

20. Example 3 - Answer • 700. • Rule 1 – 1 sig dig non-zero number • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 ending zeros

21. Example 3 - Answer • 700. • Rule 1 – 1 sig dig non-zero number • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown

22. Example 3 - Answer • 700. • Rule 1 – 1 sig dig non-zero number • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown • Rule 4 – 0 leading zeros

23. Example 3 - Answer • 700. • Rule 1 – 1 sig dig non-zero number • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown • Rule 4 – 0 leading zeros • 3 significant digits

24. Example 4 • 8500

25. Example 4 - Answer • 8500 • Rule 1 – 2 sig digs non-zero numbers

26. Example 4 - Answer • 8500 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 0 sig digs trapped zeros

27. Example 4 - Answer • 8500 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 0 sig digs trapped zeros • Rule 3 – 2 ending zeros

28. Example 4 - Answer • 8500 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 0 sig digs trapped zeros • Rule 3 – 0 sig digs (2 ending zeros but decimal point is NOT shown)

29. Example 4 - Answer • 8500 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 0 sig digs trapped zeros • Rule 3 – 0 sig digs (2 ending zeros but decimal point is NOT shown) • Rule 4 – 0 beginning zeros

30. Example 4 - Answer • 8500 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 0 sig digs trapped zeros • Rule 3 – 0 sig digs (2 ending zeros but decimal point is NOT shown) • Rule 4 – 0 beginning zeros • 2 significant digits

31. Example 5 • 8500.

32. Example 5 - Answer • 8500. • Rule 1 – 2 sig digs non-zero digits

33. Example 5 - Answer • 8500. • Rule 1 – 2 sig digs non-zero digits • Rule 2 – 0 sig dig trapped zeros

34. Example 5 - Answer • 8500. • Rule 1 – 2 sig digs non-zero digits • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2ending zeros

35. Example 5 - Answer • 8500. • Rule 1 – 2 sig digs non-zero digits • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown

36. Example 5 - Answer • 8500. • Rule 1 – 2 sig digs non-zero digits • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown • Rule 4 – 0 beginning zeros

37. Example 5 - Answer • 8500. • Rule 1 – 2 sig digs non-zero digits • Rule 2 – 0 sig dig trapped zeros • Rule 3 – 2 sig digs ending zeros with decimal point shown • Rule 4 – 0 beginning zeros • 4 significant digits

38. Example 6 • 0.0000001

39. Example 6 - Answer • 0.0000001 • Rule 1 – 1 sig dig non-zero number

40. Example 6 - Answer • 0.0000001 • Rule 1 – 1 sig dig non-zero number • Rule 2 - 0 sig digs trapped zeros

41. Example 6 - Answer • 0.0000001 • Rule 1 – 1 sig dig non-zero number • Rule 2 - 0 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros

42. Example 6 - Answer • 0.0000001 • Rule 1 – 1 sig dig non-zero number • Rule 2 - 0 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros (decimal point is shown)

43. Example 6 - Answer • 0.0000001 • Rule 1 – 1 sig dig non-zero number • Rule 2 - 0 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros • Rule 4 – beginning zeros are not significant (7 non significant beginning zeros)

44. Example 6 - Answer • 0.0000001 • Rule 1 – 1 sig dig non-zero number • Rule 2 - 0 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros • Rule 4 – beginning zeros are not significant (7 non significant beginning zeros) • 1 significant digit

45. Example 7 • 200009

46. Example 7 - Answer • 200009 • Rule 1 – 2 sig digs non-zero numbers

47. Example 7 - Answer • 200009 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 4 sig digs trapped zeros

48. Example 7 - Answer • 200009 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros

49. Example 7 - Answer • 200009 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros (decimal point NOT shown)

50. Example 7 - Answer • 200009 • Rule 1 – 2 sig digs non-zero numbers • Rule 2 – 4 sig digs trapped zeros • Rule 3 – 0 sig digs ending zeros (decimal point is NOT shown) • Rule 4 – 0 beginning zeros