Dimensional analysis
and Units of Measurements
Dimensional analysis
• Dimensional analysis uses conversion factors
to convert from one unit to another.
• Also called Factor Label (and railroad tracks)
• You do this in your head all the time
– How many quarters are in 4 dollars?
Dimensional analysis practice
3 Big Mac = 7 salads
9 salads = 2 slices of pepperoni pizza
22 slices of pepperoni pizza = 27 Sonic cokes
Ex. 1) What number of Big Macs equal 365.4
salads?
Ex. 2) How many sonic cokes do you have to drink
to equal 11 salads?
Meter
Units of Measurement
m
Liter
L
Celsius
C
Mass is the amount of matter, weight
is a measure of the gravitational pull
on matter
SI Units
Prefix
Symbol
Scientific notation
Tera
T
1 x 10-12
Terasecond (Ts)
1 s = 1 x 10-12 Ts
Mega
M
1 x 10-6
megajoule (MJ)
1 J = 1 x 10-6 MJ
Kilo
k
1 x 10-3
kilometer (km)
1 m = 1 x 10-3 km
Hecto
H or h
1 x 10-2
hectoliter (hL)
1 L = 1 x 10-2 hL
Deka
da or D
1 x 10-1
dekagram (Dg)
1 g = 1 x 10-1 Dg
1 x 100
Look at base units
See chart below
BASE UNIT
Example
Deci
d
1 x 101
decimole (dmol)
1mol = 1 x 101 dmol
Centi
c
1 x 102
centimeter (cm)
1 m = 1 x 102 cm
Milli
m
1 x 103
millimole (mmol)
1 mol = 1 x 103 mmol
Micro
u
1 x 106
microgram (ug)
1 g = 1 x 106 ug
Nano
n
1 x 109
nanosecond (ns)
1 s = 1 x 109 ns
Pico
p
1 x 1012
picojoule (pJ)
1 J = 1 x 1012 pJ
Atto
a
1 x 1018
attoliter (aL)
1 L = 1 x 1018 aL
Practice
In each pair below, circle the larger
Millimeter
Centimeter
picometer
Micrometer
kilogram
Hectogram
deciliter
millileter
Practice
In each pair below, circle the larger
Millimeter
Centimeter
picometer
Micrometer
kilogram
Hectogram
deciliter
millileter
Practice
In each pair below, circle the larger
Millimeter
Centimeter
picometer
Micrometer
kilogram
Hectogram
deciliter
millileter
Practice
In each pair below, circle the larger
Millimeter
Centimeter
picometer
Micrometer
kilogram
Hectogram
deciliter
millileter
Practice
In each pair below, circle the larger
Millimeter
Centimeter
picometer
Micrometer
kilogram
Hectogram
deciliter
millileter
Basic SI Units
Quantity
Length
Mass
Time
Volume
Temperature
Amount of substance
Heat & Energy
Base unit
meter (m)
gram (g)
second (s)
Liter (L)
Kelvin (K) or Celsius (C)
mole (mol)
joule (J)
Metric Conversions Practice
Ex. 3) 2.435 g __________________cg
Ex. 4) 23.8 mL = ________________kL
Ex. 5) 23.5 cs = ________________ns
Some Useful Conversions
Length:
1 in = 2.54 cm
1 mi = 5280 ft
Volume:
1 cm3 = 1 mL
1 L = 1.06 qt
Weight:
1 kg = 2.2 lb
16 oz = 1 lb
1 ton = 2000 lb
Temperature
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
• 20°C =
K
Temperature
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
• 20°C =
293
K
Temperature
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
• 20°C = 293
• 373 K =
K
°C
Temperature
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
• 20°C = 293
• 373 K =
100
K
°C