The Math of Science Mrs. Novack

Scientific Process What You Should Remember Collecting observations Asking questions Forming hypotheses and making predictions Confirming predictions (with experiments when needed) Drawing conclusions Scientific Process What You Should Remember

And Now for the Math SI SI Units SI Prefixes SI Derived Units International System (not everything is English) The Metric System SI Units SI Prefixes SI Derived Units Other SI Units And Now for the Math

Thermodynamic Temperature Base Quantity Name Abbreviation Length meter m Mass kilogram kg Time second s Amount of Substance mole mol Thermodynamic Temperature kelvin K Electric Current ampere A Luminous Intensity candela cd SI Units

SI Prefixes Prefix Abbreviation Factor of the Base Unit Factor Exponential giga G 1,000,000,000,000 1012 mega M 1,000,000 106 kilo k 1,000 103 hecto h 100 102 deka da 10 101 deci d 0.1 10-1 centi c 0.01 10-2 milli m 0.001 10-3 micro μ 0.000001 10-6 nano n 0.000000001 10-9 pico p 0.000000000001 10-12 SI Prefixes

SI Derived Units Derived Quantity Name Abbreviation Area Square Meter Volume Cubic Meter m3 Mass Density Kilograms per Cubic Meter kg/m3 Specific Volume Cubic Meters per Kilogram m3/kg Celsius Temperature Degrees Celsius oC SI Derived Units

Other Acceptable SI Units Name Abbreviation SI Units Conversion Minute min 1 min = 60 s Hour hr 1 hr = 60 min = 3,600 s Day d 1 day = 24 hr = 86,400 s Liter L 1L = 1 dm3 = 0.001 m3 Milliliter mL 1 mL = 1 cm3 = 0.001 L Metric Ton t 1 t = 1,000 kg Other Acceptable SI Units

Putting It in Perspective

More Putting It in Perspective

Converting from One Unit to Another Write the GIVEN number and UNIT Set up a Conversion Factor (a fraction used to convert one unit to another) Place the GIVEN UNIT (converting FROM) as the DENOMINATOR of the Conversion Factor Place the DESIRED UNIT (converting TO) as the NUMERATOR of the Conversion Factor Place a 1 in front of the larger unit Determine the number of smaller units needed to make one of the larger units Cancel the Units, and SOLVE the Problem Converting from One Unit to Another

Sample Problem How many meters are there in 55 mm? GIVEN UNIT (the FROM) = mm DESIRED UNIT (the TO) = m Meters are Bigger than Millimeters The GIVEN UNIT (the FROM) goes in the DENOMINATOR of the Conversion Factor The DESIRED UNIT (the TO) goes in the NUMERATOR of the Conversion Factor 1 goes next to m (it is bigger) How many millimeters in a meter? That answer goes next to the mm number. Then multiply 55 mm 1 m x = 0.055 m Sample Problem 1000 mm

Unit Factor Method 1 ton (Eng) = .907 ton (SI) 1 cup = 8 oz Use relationships to convert one unit to another 1 ft. = 12 in. 1 in. = 2.54 cm 1 mi. = 5280 ft. 1km = 0.6214 mi. 1 mL = 1cm3 1 cm3 = 1 cc oC = (oF -32) / 1.8000 oF = (1.8000 x oC) + 32 1 kg = 2.205 lb. 1 lb. = 16 oz 1 ton (Eng) = .907 ton (SI) 1 cup = 8 oz 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon 1 c = 236.59 mL 3 tsp = 1 tbsp 3 tbsp = ¼ cup 1 mole = 6.02 x 1023 molecules 22.4L = 1 mol Unit Factor Method

A Little Something to Help You Remember