Significant Figures

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

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

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

Significant Figures Non Zero Numbers are always significant 3.2001

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

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

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

How many significant figures? 304 0.000004 8.5 kg 0.0070 m 6.2 x 105 30.00 0.00302

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

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

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