Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

11
Significant Figures

Transcript of Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Page 1: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Significant Figures

Page 2: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rule 1:All non-zero digits are

significant.

Ex: 48.72962

= 3 SF= 4 SF

Page 3: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rule 2:Zeros in the middle of a

series of numbers are significant.

Ex: 203490,702 50,008

= 3 SF= 6 SF= 5 SF

Page 4: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rule 3:Zeros in front of a series of

numbers are not significant.

(They are being used as place holders to insure the correct number of decimal places.)

Ex: 0.0080.4730.0305

= 1 SF= 3 SF= 3 SF

Page 5: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rule 4:Zeros to the right of a decimal are significant.

Ex: 3.00437.000

0.0050700

= 3 SF= 6 SF= 5 SF

Page 6: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rule 5:

Zeros at the end of a number that are

followed by a decimal are significant.

Ex: 2000. = 4 SF

Page 7: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rule 6:Zeros at the end of a number that does not have a decimal are not considered to be significant.

(They may be significant, but we do not have enough information to be

sure.)

Ex: 2000assume 1 SF

Page 8: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Atlantic Side:decimal absent

80200 400000 32105 700

Pacific Side:decimal present

0.0019 65.01 0.0300 700.

Atlantic – Pacific Rule

2 SF4 SF3 SF3 SF

3 SF1 SF5 SF1 SF

Pacific Rule - If a decimal is PRESENT start counting with the first non-zero digit from the

left.

Atlantic Rule – If the decimal is ABSENT start counting with the first non-zero digit

from the right.

Page 9: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Rules for doing calculations

The answer to a set of calculations can not be more accurate

than the least accurate value used in the calculation.

Page 10: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Multiplication and Division

The number of significant figures in the answer is equal to the lowest number of significant

figures used in the calculation.

Ex 1: 20.7 x 8.436 = 174.652this will be reported with 3 SF as 175

Ex 2: 8.340/4.2 = 1.985712this will be reported with 2 SF as 2.0

Page 11: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.

Addition and SubtractionUse the same number of decimal places as the least accurate value.

(smallest number of decimal places)

Ex 1: 49.1 + 8.001 = 57.101This will be reported as 57.1

Ex 2: 240 – 71.3 = 168.7Round to the tens place and report as 170