1. Significant Figures

2. Your Goals for Today Know how many significant figures are in a number
Know how to multiply and divide using significant figures.
Be able to give reasons why we use significant figures

3. What are Significant Figures?
They are the numbers we care about in experiments and calculations
Largely, used by scientists
Keep values accurate
Helps us put values into scientific notation

4. Significant Figures The Rules: Nonzero Numbers are always significant
Final Zeros (zeros at the end) after the decimal place are significant
Zeros between numbers are significant
Zeros used only as placeholders are not significant

5. Significant Figures Non Zero Numbers are always significant 3.2001

6. Significant Figures
2. Final Zeros following the decimal are significant
6.200
Significant

7. Significant Figures
3. Zeros between significant figures are significant
6.204
Significant

8. Significant Figures
4. Zeros used only as place holders are not significant
No decimal
point
140.00
140
Significant
Not significant

9. How many significant figures?
304
8.5 kg m
6.2 x 105
30.00

10. Significant Figures Multiplying and Dividing with Significant Figures
6.05
11.72
x 0.10
3 sig figs
4 sig figs
2 sig figs
Count the number of significant figures, find the one with the least
7.1  2 sig figs
2. Your answer will have that
number of significant figures

11. Significant Figures You practice: 5.1 x 103 16.003 3000.00 0.000075
0.26
5 x 1010

12. Your Goals When You Practice
Know how many significant figures are in a number
Know how to multiply and divide using significant figures.
Be able to give reasons why we use significant figures