1. Significant Figures
Fundamentals

2. Numbers Two kinds of numbers Exact Inexact 5 fingers on your hand
12 eggs in a dozen
Inexact
Width of the Smartboard
Might be cm (4)
Might be 183. cm (3)
Might be 180 cm (2)
Numbers

3. Accuracy or Precision
Which is Which

4. Refers to how close a measured value agrees with the correct value.
Accuracy

5. Refers to how close measured values agree with each other.
Precision

6. ?

7. Accurate but Not Precise

8. ?

9. Accurate and Precise

10. ?

11. Inaccurate but Precise

12. ?

13. Not Accurate and Not Precise

15. Significant Figures
And How to Determine Them

16. 704 cm
No decimal point
All significant 3
Example 1

17. Second zero shows some measuring done
704.0 cm
Second zero shows some measuring done
Significant figures 4
Example 2

18. First zero means nothingcm
Same as Rule 2
First zero means nothing
Significant figures 5
Example 3

19. First 3 zeros are only locating decimal pointcm
First 3 zeros are only locating decimal point
First 0 means nothing
Significant figures 3
Example 4

20. cm
All are significant
Significant figures 6
Example 5

21. Cannot tell but at least. . .cm
Cannot tell but at least. . .
Significant figures 3
Example 6

22. 29,
Practice Set A

23. 29,
Practice Set A

24. 29,
Practice Set A

25. 29, 625 (5) (4) (4)
Practice Set A

26. 6.50 (3) (6) (1)
Practice Set B

27. Rounding
Rules to Live By

28. If the extra digit is less than 5. the preceding digit is kept
If the extra digit is less than the preceding digit is kept and NOT changed
Rule 1
Original
Rounded Off
Required :
4 significant digits
13.462
13. 46
600.74
600.7

29. If the extra digit is greater than or equal to 5
If the extra digit is greater than or equal to the preceding digit is increased by 1
Rule 2
Original
Rounded Off
Required :
4 significant digits
13.467
13. 47
600.79
600.8
7.3335
7.3334