Rules for Significant Figures
Version Number 1
Rule #1: All non-zero digits are significant.
Rule #2: Zeros in front of a number are not significant.
Rule #3: Zeros between non-zero digits are significant.
Rule #4: Zeros at the end of a number are significant if there is a decimal point in the number.
Version Number 2
Use this diagram to help determine the number of significant figures in a measured value…
Pacific
Atlantic
If the decimal point is present, start counting digits from the Pacific (left) side, starting with the first
non-zero digit.
0.003100
(4 sig. figs.)
If the decimal point is absent, start counting digits from the Atlantic (right) side, starting with the first
non-zero digit.
31,400
( 3 sig. figs.)
TAKEN FROM:
http://www.kentchemistry.com/links/Measurements/sigfigs.htm
RULES FOR SIGNIFICANT FIGURES
The Atlantic Pacific Rule
(1) Pacific – "P" is for decimal point is present. If a decimal point is present, count
significant digits starting with the first non-zero digit on the left.
Examples:
(a) 0.004703 has 4 significant digits.
(b) 18.00 also has 4 significant digits.
(2) Atlantic – "A" is for decimal point is absent. If there is no decimal point, start
counting significant digits with the first non-zero digit on the right.
Examples:
(a) 140,000 has 2 significant digits.
(b) 20060 has 4 significant digits.
Imagine a map of the U.S.; If the decimal is absent count from the Atlantic side.
If the decimal point is present, count from the Pacific side. In both cases, start
counting with the first non-zero digit.
Calculations shouldn't have more precision than the least precise measurement.
This leads to 2 rules:
(A) For addition and subtraction: The answer should not have more places past the
decimal than the number with the least places past the decimal.
Example:
1.2 + 12.348 = 13.5
Not 13.548
(B) For multiplication and division: The answer should not have more significant figures
than the number with the least amount of significant figures.
Example:
*
502 x 3.6 = 1800
Not 1807.2
These last 2 rules can be called the Many-Places rule. For mult/div, how many
significant figures is important. For plus/minus, number of places is important.
TAKEN FROM: http://www.amityregion5.org/bburt/ESciResources/SIGNIFICANT%20FIGURES.htm