Transcript The Metric System (Day 3) (Kilo… to milli… units)

The Metric System (Day 3)
(Kilo… to milli… units)
We are learning to…convert metric units of
length, mass, and volume.
Friday, May 27, 2016
What is the Metric System?
 System of measurements that is based on
increments of 10.
 Why should I learn about the Metric System
of Measurement?
 Much easier to convert measurements compared
to the English System of Measurement
 Over 95% of the world uses the metric system.
 In fact only 3 countries still use the English
System of Measurement
 Myanmar
 Liberia
 The United States
The basic units of the Metric
System:
 A METER is the basic unit of length in
the Metric System.
 A GRAM is the basic unit of weight
and mass in the Metric System
 Think of the weight of a gram to be
about 1 paper clip.
 A LITER is the basic unit of volume in
the Metric System.
There are also units of the Metric System which are smaller
than the basic units.
Moving from a smaller unit to a larger unit you must divide because you
must see how many groups of the smaller units are inside the larger unit.
Unit
Meter
Decimeter
Centimeter
Millimeter
Gram
Decigram
Centigram
Milligram
Liter
Deciliter
Centiliter
Milliliter
÷10
Relationship
to the basic
unit…
The basic
unit
÷10
10 in the
basic unit
×10
Abbreviation
÷10
100 in the
basic unit
×10
1000 in the
basic unit
×10
m
dm
cm
mm
g
dg
cg
mg
l
dl
cl
ml
Moving from a larger unit to a smaller unit you must multiply because
there are a lot of the smaller units inside of the larger unit.
Converting Between Metric Units…
17 m = ________
1,700 cm
Larger unit to a small unit… so
multiply
17 m × 10 × 10
9.81 dl = ________
98.1 cl
Larger unit to a small unit… so
multiply
9.81 dl × 10
86,000 mg = ________
86
g
Smaller unit to a larger unit… so
divide
86,000 mg ÷ 10 ÷ 10 ÷ 10
83 mm = ________
0.083 m
Smaller unit to a larger unit… so
divide
83 mm ÷ 10 ÷ 10 ÷ 10
•Try converting some metric units of length, weight/mass and volume
with your teammates.
Raise your hand when you are complete so your teacher can check your
solutions.
Units which are larger than the
basic units…
 There are also units which are larger than the basic
units:
 10 of the basic unit put together are called a
decameter, decagram, or decaliter.
 To remember this think of a decade. A decade is 10
years, while a “decaunit” has 10 units put together.
 100 of the basic unit put together are called a
hectometer, hectogram, or a hectoliter.
 1,000 of the basic unit put together are called a
kilometer, kilogram, or a kiloliter.
Moving from a smaller unit to a larger unit you must divide because you
must see how many groups of the smaller units are inside the larger unit.
Unit
Kilometer Hectometer Decameter
Meter
Decimeter Centimeter Millimeter
Kilogram
Gram
Decigram
Centigram
Milligram
Liter
Deciliter
Centiliter
Milliliter
Hectogram Decagram
Kiloliter
Hectoliter
÷10
Relationship
to the basic
unit…
1000 of
the basic
unit
÷10
100 of
the basic
unit
×10
Abbreviation
Decaliter
÷10
10 of the
basic
unit
×10
÷10
The basic
unit
×10
÷10
10 in the
basic unit
×10
÷10
100 in
the basic
unit
×10
1000 in
the basic
unit
×10
km
hm
dam
m
dm
cm
mm
kg
hg
dag
g
dg
cg
mg
kl
hl
dal
l
dl
cl
ml
Moving from a larger unit to a smaller unit you must multiply because
there are a lot of the smaller units inside of the larger unit.
Mnemonic Device to remember
the order of the Metric Units…
Unit
Kilometer Hectometer Decameter
Meter
Decimeter Centimeter Millimeter
Kilogram
Gram
Decigram
Centigram
Milligram
Liter
Deciliter
Centiliter
Milliliter
Hectogram Decagram
Kiloliter
Hectoliter
÷10
Relationship
to the basic
unit…
1000 of
the basic
unit
÷10
100 of
the basic
unit
×10
Abbreviation
Decaliter
÷10
10 of the
basic
unit
×10
÷10
The basic
unit
×10
÷10
10 in the
basic unit
×10
÷10
100 in
the basic
unit
×10
1000 in
the basic
unit
×10
km
hm
dam
m
dm
cm
mm
kg
hg
dag
g
dg
cg
mg
kl
hl
dal
l
dl
cl
ml
Henry
Died
Mnemonic “King
Device (Kilo…)
(Hecto…) (Deca…)
By
(Basic
Unit)
Drinking Chocolate Milk.”
(Deci…) (Centi…) (Milli…)
More Converting Between Metric Units…
230 km = ________
230,000 m
Larger unit to a small unit… so
multiply
230 km × 10 × 10 × 10
8,200,000 cl
82 kl = __________
Larger unit to a small unit… so
multiply
82 dl × 10 × 10 × 10 × 10 × 10
6,000 hg = ________
60,000 dag
Larger unit to a small unit… so
multiply
6,000 hg × 10
72.814 dm = ________
0.72814 dam
Smaller unit to a larger unit… so
divide
72.814 mm ÷ 10 ÷ 10
•Try converting some metric units of length, weight/mass and volume
with your teammates.
Raise your hand when you are complete so your teacher can check your
solutions.