Significant Figures Rules If the decimal is Present, then go to the Pacific side of the measurement, count the first non-zero number and count all other.

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  Non-zero digits are significant.  Ex: 453 kg  All non-zero digits are always significant  # of Sig Fig’s?  3! Rule 1:

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Presentation transcript:

Significant Figures Rules If the decimal is Present, then go to the Pacific side of the measurement, count the first non-zero number and count all other numbers. If the decimal is Absent, then go to the Atlantic side of the measurement, count the first non-zero number and count all other numbers.

How many significant figures are in 3003 g? 4

How many significant figures are in 2000 m? 1

How many significant figures are in g? 5

How many significant figures are in mg? 2

There are 12 eggs in a dozen. Infinite! Significant figures only pertain to measurements.

Significant Figures Addition/Subtraction Rules: Round the answer so it matches the number of digits to the right of the decimal point in the measurement with the fewest digits to the right of the decimal point.

2.89 m m 2.89 m

24.50 dL dL dL 39.0 dL

22.0 m m m 42.8 m

Significant Figures Multiplication and Division Rules: Round the product or quotient to the same number of significant figures as in the measurement with the fewest significant figures.

mol x 34.2 g/mol 121 g

47.0 m / 2.2 s 21 m/s

m 2 x m m 3

Write m in scientific notation. 8 x 10 8 m

Write kg in scientific notation. 1.5 x kg

Write g in scientific notation x g

Write L in scientific notation. 2.5 x L

Write -6.5 x m in long form m

Write 1.92 x 10 3 cm in long form cm

Write x dg in long form dg

Scientific Notation Addition and Subtraction Problems All values must have the same exponent before they can be added or subtracted.

6.2 x x 10 3 = 62 x x 10 3 = 69.2 x 10 3 = 69 x 10 3 = 6.9 x 10 4

4.5 x 10 6 – 2.3 x x 10 6

Scientific Notation Multiplication and Division Multiplication: The first factors of the numbers are multiplied and the exponents of 10 are added. Division: The first factors of the numbers are divided and the exponent of 10 in the denominator is subtracted from the exponent of 10 in the numerator.

Calculate: (5.50 x ) x (3.50 x ) 1.92 x 10 -6

(4.50 x 10 6 ) x (2.1 x ) 9.4 x 10 4

9000 / (2.5 x 10 2 ) 40 (1 sig fig)

Answer in the correct significant figures: m x 42.1 m 5.33 x 10 2 m 2