1. Sig Fig and Conversion Practice

2. Rules for Counting Significant Figures - Details
Nonzero integers always count as significant figures.
3456 has
4 sig figs. 2

3. Rules for Counting Significant Figures - Details
Zeros
- Leading zeros do not count as significant figures.
has
3 sig figs. 3

4. Rules for Counting Significant Figures - Details
Zeros
- Captive zeros always count as significant figures.
16.07 has
4 sig figs. 4

5. Rules for Counting Significant Figures - Details
Zeros
Trailing zeros are significant only if the number contains a decimal point.
9.300 has
4 sig figs. 5

6. Rules for Counting Significant Figures - Details
Exact numbers have an infinite number of significant figures.
12 inches = 1ft, exactly 6

7. Sig Fig Practice #1 1.0070 m  5 sig figs 17.10 kg  4 sig figs
How many significant figures in each of the following?
m 
5 sig figs
17.10 kg 
4 sig figs
100,890 L 
5 sig figs
3.29 x 103 s 
3 sig figs
cm 
2 sig figs
3,200,000 
2 sig figs

8. Rules for Significant Figures in Mathematical Operations
Multiplication and Division:
# sig figs in the result equals the number in the least precise measurement used in the calculation.
6.38 x 2.0 =
12.76  13 (2 sig figs) 8

9. Sig Fig Practice #2 Calculation Calculator says: Answer 3.24 m x 7.0 m
100.0 g ÷ 23.7 cm3
g/cm3
4.22 g/cm3
0.02 cm x cm
cm2
0.05 cm2
710 m ÷ 3.0 s
m/s
240 m/s
lb x 3.23 ft
lb·ft
5870 lb·ft
1.030 g ÷ 2.87 mL
g/mL
2.96 g/mL

10. Rules for Significant Figures in Mathematical Operations
Addition and Subtraction: The number of decimal places in the result equals the number of decimal places in the least precise measurement. =
 18.7 (3 sig figs) 10

11. Sig Fig Practice #3 Calculation Calculator says: Answer 3.24 m + 7.0 m
100.0 g g
76.27 g
76.3 g
0.02 cm cm
2.391 cm
2.39 cm
713.1 L L L
709.2 L
lb lb lb lb
2.030 mL mL
0.16 mL
0.160 mL

12. Sci. Not. w/ Calculators Example: 4 x 1023 x 5 x 10-12 = ? Action
Display
Enter “4” 4
Press “EE” or “Exp”
4 00
Enter “23”
4 23
Press “x“
Enter “5” 5
Press “EE”
5 00
Enter “-12”
5 -12
Press “=“
(write: 2 x 1012)

13. Scientific Notation Examples
Distance to Sun:
93,000,000 miles ->
2. Vacuum pressure:
torr ->
9.3 x 107 miles
1 x 10-9 torr

14. Exponents practice
14000
1.4 x 104
8.43 x 10-4
7.0 x 103
7000

15. Sig Fig practice answers
Write the actual numbers that have……..
m to 3 significant figures
L to 3 significant figures
1.175 g to 3 significant figures
25.5 g to 2 significant figures
m to 1 significant figure

16. Sig Fig practice answers
Write the actual numbers that have……..
m to 3 significant figures
.0636
L to 3 significant figures
13.0
1.175 g to 3 significant figures
1.18
25.5 g to 2 significant figures 26
m to 1 significant figure
3 x 10-3

17. Sig Fig Practice 1) 5.40 ____ 6) 1.2 x 103 ____
2) 210 ____ 7) ____
3) ____ 8) ____
4) 1,000 ____ 9) x 10-6  ___
5) ____10) 2, ____

18. Sig Fig Practice answers
1) ) 1.2 x
2) )
3) )
4) 1, ) x 10-6  4
5) ) 2,