Understanding Significant Figures Non Zero digits are always

Understanding Significant Figures ü Non Zero digits are always significant. ü Zeroes are sometimes significant. We can use these rules to decide whether or not they are significant

Significant Figures – When are zeroes significant? • Zeroes before a decimal point are significant 32000. • Zeroes between Non-zero digits are significant 32003 • 5 significant figures Zeroes after non-zero digits without a decimal point or without another number after them are not significant 32000 2 significant figures

Significant Figures – When are zeroes significant? • Zeroes after decimal point are significant in the following cases 0. 000450 3 significant figures ü When the zero is after a non-zero digits ü When the zero is between non-zero digits ü 0. 04501 When the zeroes have no non-zero digits with them 32134. 00 4 significant figures 7 significant figures

Rounding to Significant Figures We can follow the same rules when asking to round to a certain amount of significant figures Round the following answers to 2 significant figures. 1. 23403 = 23000 2. 3490 = 3500 3. 0. 03401 = 0. 034 4. 0. 00456 = 0. 0046 5. 239 6. 4560 = 240 = 4600

Rounding to Significant Figures Round the following answers to 3 significant figures. 1. 23403 = 23400 2. 34901 = 34900 3. 0. 03401 = 0. 0340 4. 0. 004567 = 0. 00457 5. 293. 01 = 293 6. 4. 3061 = 4. 31

Rounding to Significant Figures How many significant figures have these numbers got? 1. 23400 3 2. 45. 30 4 3. 0. 03401 4 4. 0. 004567 4 5. 293. 01 5 6. 4. 3061 5 7. 300 1