Significant Figures Significant figures – the digits in any given number that give us useful information about that number Imagine a map of the U.S. Use.

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Presentation transcript:

Significant Figures Significant figures – the digits in any given number that give us useful information about that number Imagine a map of the U.S. Use the Atlantic Pacific Rule: 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.

Significant Figures The Atlantic Pacific Rule 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 (b) 20060

Significant Figures The Atlantic Pacific Rule 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 (b) 18.00

Significant Figures Examples: 96,002 g 0.044 g 200. g 4.7200 km 82.0 m 0.00783 kg 5 sig figs 2 sig figs 3 sig figs 5 sig figs 3 sig figs 4 sig figs 3 sig figs 1 sig figs 3 sig figs

Significant Figures: Multiplying/Dividing What is 2.02 x 1.045 x 0.003? a. 0.0063327 b. 0.006333 c. 0.00633 d. 0.0063 e. 0.006

Significant Figures: Multiplying/Dividing Rule Find the number with the least amount of significant figures Report your answer with that many significant figures.

Significant Figures: Multiplying/Dividing What is 2.02 x 1.045 x 0.003? a. 0.0063327 b. 0.006333 c. 0.00633 d. 0.0063 e. 0.006

Significant Figures: Adding/Subtracting Rule: Find the number with the least amount of decimal places. Report your answer with that many decimal places.

Significant Figures: Adding/Subtracting What is 10.234 + 5.23 + 6.1247? a. 21.5887 b. 21.589 c. 21.59 d. 21.6 e. 21

Scientific Notation Scientific notation – usually used to express very large or very small numbers Steps for converting to scientific notation: 1. Move decimal place until only one number is to the left of the decimal 2. Count how many places you moved and use this number as your exponent 3. If the number you started with is larger than one, the exponent is positive. (smaller than one, exponent is negative) Example: 7200 in scientific notation = 7.2 x 103

Scientific Notation Convert the following to scientific notation: a. 30,100,000 b. 0.0000620 c. 802.0 d. 0.00351 Answers: a. 3.01 x 107 b. 6.20 x 10-5 c. 8.020 x 102 d. 3.51 x 10-3 Show examples A and B on the board. Show how to move the decimal and count Have students work C and D independently.

Scientific Notation Expand the following: Answers a. 0.0503 b. 160,000 a. 5.03 x 10-2 b. 1.60 x 105 c. 4.051 x 10-6 d. 9.98 x 103 Answers a. 0.0503 b. 160,000 c. 0.000004051 d. 9980

Extra Practice This website has extra practice if you are having trouble with significant figures. If you answer a question incorrectly, it tells you why you were not correct. Don’t forget to use the Atlantic-Pacific Rule! http://lectureonline.cl.msu.edu/~mmp/applist/sigfig/sig.htm