### The Metric System

```Friday, August 23rd
Please complete the warm up 
1. 8 miles = ____________yards
2. 8.5 cups=__________gallons
HOMEWORK QUIZ
After each question, the title of the
homework assignment and the number
of the problem it correlates too is listed

How many cups are in
5 pints?
1cup
5 p int s

4 p int s
x
 20 p int s
WRONG?
METRIC CONVERSION
How to
convert
within
the
metric
system
THE METRIC SYSTEM
is based on sets of 10
1 x 10 = 10
10 X 10 = 100
10 x 100 = 1,000
The Metric System
Is used by
scientists all
over the
world!
NAMING THE METRIC UNITS

Meter units measure Length

Gram units measure mass or weight

Liter units measure volume or capacity.
CONVERTING
METRIC
Friends this is going to be
SOOOOOOOOOOOOOOOO
Easy!!!!!!
HERE’S THE GIST OF IT…….
To convert from a smaller unit to a larger unit
(going to the left) divide by 10 for each step.
(Move the decimal one time to the left for each box)
Ex: 4 millimeters= 0.4 centimeters
KILO- HECT
Kilograms
O(kg)
Kiloliters
(kl)
Kilometers
(km)
*Not commonly
used
Hectograms
Hectoliters
Hectometers
DEKA- UNIT Deci-
Centi- Milli-
*Not commonly
used
Centigrams Milligrams
Centiliters
Milliliters
Centimeters millimeters
Deckagrams
Deckaliters
Deckameter
s
Grams
(g)
Liter (l)
Meter
(m)
Decigrams
Deciliters
decimeters
To convert from a larger unit to a smaller unit (going to the right )
multiply by 10 for each box (Move the decimal one time to the right
for each step.
Ex: 25 kilograms = 25000 grams
HOW IT WORKS!
DO YOU REMEMBER…
King
Henry?
DID YOU ALSO KNOW?
King Henry Doesn’t Usually Drink
Chocolate Milk
Memorize
this!
YOU MUST ALSO KNOW…
…how to convert within the Metric System.
We’ll make a handy, dandy device every time we
convert!
U: UNITS
m
l
g
Write the units in the middle under the “U”.
REMEMBER THE UNITS!
M:
L:
G:
km
hm
dam
m
dm
cm
mm
km
kL
hm
hL
dam
m
dm
cm
daL
L
dL
cL
Deca can also be
dk or da
mm
mL
km
kL
kg
hm
dam
m
dm
cm
hL
hg
daL
dag
L
g
dL
dg
cL
cg
mm
mL
mg
k
h
d
U
d
c
m
km
kl
kg
hm
hl
hg
dam m
dal
l
dag g
dm
dl
dg
cm
cl
cg
mm
ml
mg
METRIC RECIPE
1. Look at the problem. Look at the unit
that has a number. On the device put
2. Move to new unit, circle it counting jumps
and noticing the direction of the jump.
3. Move decimal in original number the same
# of spaces and in the same direction.
ONE LAST CAUTION:
Be careful NOT
to count the
spot you start
from, where you
point.
Only count
the jumps!
EXAMPLE #1:
Look at the problem. 56 cm = _____ mm
(1)
Look at the unit that has a number. 56 cm
On the device put your pencil on that unit.
k
h
km
hm
d
U
dam m
d
dm
c
cm
m
mm
EXAMPLE #1:
2. Move to new unit, counting jumps and
noticing the direction of the jump!
k
h
d
U
d
km
hm
dam m
dm
c
cm
m
mm
EXAMPLE #1:
3. Move decimal in original number the same
# of spaces and in the same direction.
56 cm = _____ mm
56.0.
One jump
to the right!
Add a zero as a placeholder.
EXAMPLE #1:
56 cm = _____ mm
56cm = 560 mm
EXAMPLE #2:
Look at the problem. 7.25 L = ____ kL
Look at the unit that has a number. 7.25 L
On the device put your pencil on that unit.
(1)
k
h
d
U
d
c
kl
hl
dal
L
dl
cl
m
ml
EXAMPLE #2:
2.
Move to new unit, counting jumps and
noticing the direction of the jump!
k
h
d
kl
hl
dal
U
d
c
L
dl
cl
m
ml
Three jumps to the left!
EXAMPLE #2:
(3) Move decimal in original number
the same # of spaces and in the same
direction.
7.25 L = ____ kL
.007.25
Three jumps
to the left!
Move decimal to the left three jumps.
EXAMPLE #2:
7.25 L = ____ kL
7.25 L = .00725 kL
EXAMPLES #3-7:
(3) 35 mm = ____ cm
(4) 14,443 L = ____ kL
(5) 0.00056 kg = ____ g
(6)35.4 L = ____ mL
(7)16 mm = ____ km
COMPARE AND CONTRAST
How many minutes in
7 days?
SECONDS, MINUTES, HOURS, DAYS, WEEKS,
MONTHS, YEARS
1 minute = 60 seconds
1 hour = 60 minutes
1 day = 24 hours
1 week = 7 days
1 year = 12 months/ 52 weeks/365
days
WARNING
This involves
Multiplying more
than one fraction!
The big
idea=cancel out
STEPS
Make a plan of the
conversions you will need
Example: day-hour-min-sec
1.
First number/fraction is the
number they give you
1.
2.
Place label you want to
cancel in OPPOSITE
location
LET’S TRY TOGETHER………….
1. How many seconds are there in a day?
1 day 24ℎ 60  6  24∙60∙60
∙
∙
∙
=
= 86,400
1
1
1 ℎ 1
1
sec/day
2. How many minutes are in 10 days?
10 day 24ℎ 60  10∙24∙60
∙
∙
=
= 14,400 min in 10
1
1
1 ℎ
1
days
3.How many hours are in 64,800 sec?
64,8 0 0  1  1 ℎ 64800 64,8 0 0
∙
∙
=
=
= 18 hours
1
60
60
60∙60
3600
YOU
4. How many
minutes in 7 days?
TRY
5.
How many
weeks in 20,160
minutes?