Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.
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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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/1.jpg)
Significant Figures
![Page 2: Significant Figures. Rule 1: All non-zero digits are significant. Ex:48.7 2962 = 3 SF = 4 SF.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/2.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/3.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/4.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/5.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/6.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/7.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/8.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/9.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/10.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082422/56649dd05503460f94ac4c9e/html5/thumbnails/11.jpg)
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