ࡱ> '` Rbjbj 4. DDDDDDD D%D%D%D%$h%D-`%%%%%&&&a-c-c-c-c-c-c-$B/h1-D&&&&&-DD%%-=(=(=(&D%D%a-=(&a-=(=(:,,DD)-%% p@@D%-', M--0-,R,2(.,2)-,2D)-$&&=(&&&&&--=(&&&-&&&&D%D%XD,DDDDDD Significant Figures Review Significant figure - _______________________________________________________ Rule 1 ______________________________________________________________________ i.e. 10, 1100, 120, 1000, 12500 Rule 2 ______________________________________________________________________ i.e. 10.0 3 sig figs 100.0 4 sig figs Rule 3 ______________________________________________________________________ i.e. 25g, 0.025 kg, and 0.0025 mg all have two sig figs. Rule 4 ____________________________________________________________________________________________________________________________________________ i.e. 25.00g Typical lab balance (4 s.f.). 25.000 000g Highly precise microbalance (8 s.f.). Examples: How many sig figs in each measurement? a. 3570 b. 17.505 c. 1.23400 x 108 d. 0.00900 e. 41.400 Math involving sig figs After MULTIPLYING or DIVIDING numbers, round off the answer to the ____________________________________________ contained in the calculation. For Example: 2.00 x 3.00000 = 6.00 3 s.f. 6 s.f. 3 s.f. 2.56x105 / 8.1x108 = 3.2x10-4 3 s.f. 2 s.f 2 s.f After ADDING or SUBTRACTING numbers, round off the answer to the _________________________________________________________________. ALWAYS perform calculations to the maximum number of sig figs allowed by your calculator. Since the number with the least number of decimal places is the least precise, we would expect to round to this spot. For Example: 12 .56 cm The second value is only precise +125 .8 cm to the 1st decimal place, so the 138 .36 cm final answer is rounded to one decimal place: 138.4 cm **When adding/subtracting exponents, the exponents must be the same value 6.0 x 10^4 + 3.25 x 10^2 6.0 x 10^4 + 0.0325 x 10^4 Remember BEDMAS Examples: 14.34 x 34.678 = 1.245 + 2.34 = 34 / 7 = 5.0 2.34 = 365.0 x 2.34 x 50 = 36 / 2.43 = 4.567 + 1.2345 = 25.00 x 0.1000 15.87 x 0.103 (4.63 x 8.054) + 11.7653 (0.341 x 18.64 -6.00) x 3.176 Mole Review Its important for you to remember that the mole is central to ALL conversions between mass, particles, and volume. Each calculation goes from ______________ to ________ to ______________.  Remember: ____________ is the mass of one mole of a substance and is equal to the atomic mass, or molecular mass, expressed in grams. Examples: What is the Molar Mass of Mg(OH)2? How many grams in 2.9 mol of NaCl? What is the volume occupied by 50.0 g of NH3(g) at STP? 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