Warm – up #3 Place in the proper sig figs 1)23.27 -12.058 2)3.15 x 2.5 x 4.00 3)36 / 0.62 4)13.25 + 10.00 + 9.6 5)25.37 + 6.850 + 15.07 + 8.056

Scientific Notation In scientific notation, a number is written as the products of two numbers: a coefficient and some power of 10

Scientific Notation Continued The general form for scientific notation is: M x 10n where M is  1 but < 10 n is an integer and exponent {integers must be a positive or negative whole number}

Complete the following calculations 1. (2.4 x 10-3) - (1.2 x 10-2) 2. (7.4 x 10-8) / (3.4 x 104) 3. ( 3.45 x 104) * (2.3 x 103) 4. (3.6 x 105) + (7.82 x 104)

Express the following scientific notations in the long form

Factor Label Factor Label (Dimensional Analysis): a problem solving method based on manipulating units to solve problems Factor Label uses conversions factors

Conversion Factors Conversion factor: ratio derived from the equality of two different units serving to convert from one unit to the other

Conversion Factors Examples of Conversion Factors: 1 minute = 60 seconds $1 = 4 quarters 1 year = 365 days

Conversion Factors Length: 1 meter = 1.094 yards 2.54 cm = 1 inch 1 mile = 5280 feet 1 mile = 1.6093 km 1000 m = 1km 100 cm = 1 m

Conversion Factors Continued Mass: 1 kg = 2.2 lbs 453.6 g = 1 lb 1 ton = 2000 lbs 1 metric ton = 1000 kg 1 lb = 16 ounces 1000 g = 1kg

Volume: 1 L = 1.06 quarts 1 ft3 = 28.32 L 1 L = 1 dm3 1 gallon = 4 quarts 1 gallon = 8 pints 1 quart = 32 fluid oz. 1 cm3 = 1 mL 1000 L = 1 m3

SI Conversion Factors (MUST KNOW) 1 kilo______ = 1, 000 _________ 1 ________ = 100 centi__________ 1 ________ = 1,000 milli__________ 1_________ = 1,000,000 micro________ 1_________ = 1,000,000,000 nano______ blank = gram, liter, meter 12

Tips for Solving Problems 1. Read problem carefully 2. Pick out important information (usually numbers are very important) 3. Determine what you are trying to find 4. Choose which steps you may have to use to determine your solution 5. Work the problem 6. Check the problem to see if your answer is reasonable Begin 4th 9-24-01, 5th

= 1 minute 3.90945 min 60 seconds Example Problem 234.56 seconds How many minutes are in 234.56 seconds? 1 minute = 234.56 seconds 3.90945 min 60 seconds Answer is only to “5” sig figs so 3.9095 minutes is final answer

Practice for your Notes If Johnny ran 50 feet, how many meters did he run? Zachary studied chemistry for 268.5 hours last year. How many seconds did he study?

Practice 35 fl oz to quarts 5.8 x 109 miles to kilometers Being 9

Practice Convert 67 meters to feet?

Practice . Convert 234 pounds to ounces . Convert 79.78 days to seconds

Examples How many nanometers are in 425 meters?

Multistep Factor Label How many cubic meters (m3) are in 500.0 cubic millimeters (mm3)? 500.0 mm3 (1m)3 0.0000005 m3 (1000 mm)3 Answer should have 4 sig figs 5.000 x 10-7 m3

Practice Nolan Ryan threw a baseball with a velocity of 100.9 miles/hr. Calculate the velocity in meters per second. Ans) 45.10 m/sec 21