"Metric Conversions Worksheet I and Ii"

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Name: ____________________________________
Section: ________
Metric Conversions
Metric Conversions Worksheet I
12
T
tera-
1 000 000 000 000
10
9
G
giga-
1 000 000 000
10
6
M
mega-
1 000 000
10
3
These are the metric units.
k
kilo-
1 000
10
2
The letter in the first column
h
hecto-
100
10
1
is used as the prefix before
D
deka
10
10
the unit. Some common
0
types of units are: grams
10
NO PREFIX
1
( UNIT)
(g), meters (m), liters (L),
-1
d
deci
0.1
10
joules (J), seconds (s),
-2
and bytes (B).
c
centi-
0.01
10
-3
m
milli-
0.001
10
-6
μ
micro-
0.000001
10
-9
n
nano-
0.000000001
10
When working in the metric system it is helpful to use a “metric map.” This metric map will enable
you to successfully convert your units.
Units
Liters
Meters
Tera
Giga
Mega
Kilo
Hecto
Deka
deci
centi
milli
micro
nano
Grams
Joules
Seconds
Bytes
indicates that there is a difference of three steps/decimal places/zeros to get from one prefix to the next.
indicates that there is a difference of only one step/decimal place/zero to get from one prefix to the next.
EXAMPLES
1.0 kg = ? mg
kilo and milli differ by six steps/decimal places/zeros;
kilo
milli is going to the right on the “map”;
1.0 kg = 1 000 000 mg
therefore move the decimal six places to the right
Kilo
Hecto
Deka
Unit
deci
centi
milli
Grams
2.3 cm = ? m
centi and no prefix (unit) differ by two
steps/decimal places/zeros; centi
no prefix
2.3 cm = 0.023 m
(unit) is going to the left on the “map”; therefore move
the decimal two places to the left
Unit
Kilo
Hecto
Deka
deci
centi
milli
Meters
Name: ____________________________________
Section: ________
Metric Conversions
Metric Conversions Worksheet I
12
T
tera-
1 000 000 000 000
10
9
G
giga-
1 000 000 000
10
6
M
mega-
1 000 000
10
3
These are the metric units.
k
kilo-
1 000
10
2
The letter in the first column
h
hecto-
100
10
1
is used as the prefix before
D
deka
10
10
the unit. Some common
0
types of units are: grams
10
NO PREFIX
1
( UNIT)
(g), meters (m), liters (L),
-1
d
deci
0.1
10
joules (J), seconds (s),
-2
and bytes (B).
c
centi-
0.01
10
-3
m
milli-
0.001
10
-6
μ
micro-
0.000001
10
-9
n
nano-
0.000000001
10
When working in the metric system it is helpful to use a “metric map.” This metric map will enable
you to successfully convert your units.
Units
Liters
Meters
Tera
Giga
Mega
Kilo
Hecto
Deka
deci
centi
milli
micro
nano
Grams
Joules
Seconds
Bytes
indicates that there is a difference of three steps/decimal places/zeros to get from one prefix to the next.
indicates that there is a difference of only one step/decimal place/zero to get from one prefix to the next.
EXAMPLES
1.0 kg = ? mg
kilo and milli differ by six steps/decimal places/zeros;
kilo
milli is going to the right on the “map”;
1.0 kg = 1 000 000 mg
therefore move the decimal six places to the right
Kilo
Hecto
Deka
Unit
deci
centi
milli
Grams
2.3 cm = ? m
centi and no prefix (unit) differ by two
steps/decimal places/zeros; centi
no prefix
2.3 cm = 0.023 m
(unit) is going to the left on the “map”; therefore move
the decimal two places to the left
Unit
Kilo
Hecto
Deka
deci
centi
milli
Meters
Difference
From
To
Move decimal
in zeros/
left or right?
prefix
unit
prefix
unit
decimal
places/steps
km
kilo
meters
m
meters
3
right
no prefix
Mg
Gg
mL
L
kJ
mJ
μs
ms
B
kB
cm
mm
cL
μL
PROBLEMS
1. Convert the following to grams (g):
Difference
Move to
Before
After
in zeros/
left or
decimal
converting
converting
right?
places/steps
1.0 kg
g
2.5 kg
g
0.045 kg
g
100 mg
g
2400 mg
g
2. Convert the following to meters (m):
Difference
Move to
Before
After
in zeros/
left or
converting
decimal
converting
right?
places/steps
4 mm
m
15.6 km
m
0.005 Mm
m
1,000,000 μm
m
2400 mm
m
3. Convert the following to kiloliters (kL):
Difference
Move to
Before
After
in zeros/
left or
decimal
converting
converting
right?
places/steps
1600 L
kL
2050 cL
kL
5000 mL
kL
kL
1.5 HL
0.003 µL
kL
Name: ____________________________________
Section: ________
Metric Conversions
Metric Conversions Worksheet II
1. Convert the following to km:
1600.0 m
= _______
2050 cm
= _______
1.033 Mm
= _______
245 565 mm = _______
20 099 m = _______
499 m
= _______
2. Convert the following:
10.034 mJ
= _______________ cJ
36.45 cL
= ______________ μL
0.05 cm
= ______________ mm
1024 B
= ______________ kB
0.0325 kJ
= ______________ cJ
1202.5 mL
= ______________ L
0.42101 Gg = ______________ Mg
25.5 km
= ______________ m
0.12907 cm = _____________ mm
756 900 μs
= ______________ ms
5600.4 Ms
= _____________ Gs
268 000 cm = ______________ km
Name: ____________________________________
Section: ________
Metric Conversions
Metric Conversions Worksheet III
Convert the following:
0.0075 Gm
= _______________ km
0.00091 TL
= ______________ ML
0.00046 ks
= ______________ cs
244475.3 μs = ______________ hs
4096 MB
= ______________ GB
210 hm
= ______________ cm
0.0002 μg
= ______________ mg
448.5 cg
= ______________ g
0.00034 μL = ______________ cL
2103.55 s
= ______________ ks
11120.33 ng = ______________ cg
0.0000012 GL = ______________ cL
Word Problems
1. The distance from your home to the airport is 0.0000075 Gm. How far is this in km?
2. There are 10 computers in the computer lab that each have 20 GB hard drives. How many bytes
(B) of disk space do we have in the computer lab in total.
3. A challenge: convert 100125368477004 ng to Teragrams.
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