Metric Prefixes
• One larger thing equals many smaller
things
Prefix
Abbreviation
One larger
Many smaller
centi-
(c)
1g=
100 cg
kilo-
(k)
1 kg =
1000 g
Mega-
(M)
1 Mg =
1000000 g
deci-
(d)
1g=
10 dg
milli-
(m)
1g=
1000 mg
micro-
(µ)
1g=
1000000 µg
Prefix Questions
1.
2.
3.
4.
5.
6.
7.
8.
9.
1000
______
m = 1 km
0.001
______km
=1m
milliliter or centiliter
kilogram or megagram
millimeter or kilometer
centi dollar
A penny = 1 ______
deci dollar
A dime = 1 ______
1000000 dollars
A megabuck = ________
10
A kilopenny = __________
dollars
(tricky)
Prefix to Base Unit Questions
1.
2.
3.
4.
5.
kilometers
_________
grams
_________
liters
_________
micrograms
_________
Megaseconds
_________
Mass of a
teaspoon of water
Volume of balloon
Time light travels
from earth to
nearest star
Episode 104
Conversions
• Dimensional Analysis or T-Factor
• Convert 152 cm to m
– Write in form of a question
? M = 152 cm
• Conversion factor – a statement of fact expressed
as a fraction equaling one
– Allows you to convert from one unit to another unit
of measurement
• Fact: 1m = 100 cm, so
1m
100 cm
• Set units to cancel out
or
152 cm
100 cm
1m
1 m
100 cm
= 1.52 m
• Add numerical values for units
• Do the math!
Episode 104
Another Conversions
• Dimensional Analysis or T-Factor
• Convert 62 kg to g
– Write in form of a question
62 kg = ? g
• Conversion factor
• Fact: 1 kg = 1000 g, so
• Set units to cancel out
1 kg
1000 g
or
62 kg 1000 g
1 kg
1000 g
1 kg
= 62000 g
• Add numerical values for units
• Do the math!
Episode 104
Divide or Multiply?
• LET THE UNITS TELL YOU!
• Convert 1700 µs to ds
– Write in form of a question
1700 µs = ? ds
• Conversion factor
• Fact: 1 s = 1x106µs, so
• Fact: 1 s = 10 ds, so
1s
1x106µs
1s
10 ds
or
• Set units to cancel out
• Add numerical values for units
1 s
1700 µs
• Do the math!
1x106 µs
or
1x106µs
1s
10 ds
1s
10 ds
1
s
= 0.017 ds
Episode 104
Problem Set One
•
•
•
•
•
•
59 dg to g 5.9 g
9.8 cm to µm 98000 µm
60 L to mL 60000 L
1.4 x 10-7 m to km 1.4 x 10-10
4500 ks to Ms 4.5 Ms
How many yards are
in 91.44 km? 100000 yds
km
– (2.54 cm = 1 inch)
Episode 104