1. The Math of Science
Mrs. Novack

2. 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

3. 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

4. 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

5. 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
10-6
nano n
10-9
pico p
10-12
SI Prefixes

6. 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

7. 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 = m3
Milliliter mL
1 mL = 1 cm3 = L
Metric Ton t
1 t = 1,000 kg
Other Acceptable SI Units

8. Putting It in Perspective

9. More Putting It in Perspective

10. 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

11. 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

12. 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 = mi.
1 mL = 1cm3
1 cm3 = 1 cc
oC = (oF -32) /
oF = ( x oC) + 32
1 kg = 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 = mL
3 tsp = 1 tbsp
3 tbsp = ¼ cup
1 mole = 6.02 x 1023 molecules
22.4L = 1 mol
Unit Factor Method

13. A Little Something to Help You Remember