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The basics
What is SI? SI stands for “Le Système international
d'unités” or The International System of Units. SI units are used throughout the world except
in the United States and some of the United Kingdom.
What are the units?!
Length: Length is measured in METERS Mass: Mass is measured in GRAMS Volume: Volume is measured in LITERS Temperature: Temperature is measured in
Degrees Celsius
SI vs English
The “English” system is what we are probably more familiar with. English units for the same measures are: Length: inches/feet/yards/miles Mass: ounces/pounds/tons Volume: fluid ounce/cups/quarts/gallons Temperature: Fahrenheit/Celsius Time: Second
Why use SI?
There is one key advantage of SI over English. Metric (SI) units work in 10s, therefore it is
very easy to convert from big units to small units and vice versa.
English units are not easy to convert. Can you easily convert one mile to inches?
Moving between units
To change from one unit size or type to another is called a “conversion”.
To help us learn conversions you will want to familiarize yourself with this saying:
“King Henry Died (Monday) drinking chocolate milk”
Or Kinky Haired Ducks (Under) Dads Car Motor
Say What?
King: Kilo (meaning 1000) Henry: Hecto (meaning 100) Died: Deca (meaning 10) Monday : the base unit (1) (Meters) drinking: deci (meaning 1/10) chocolate: centi (meaning 1/100) milk: milli (meaning 1/1000)
Or What?
Kinky: Kilo (meaning 1000) Haired: Hecto (meaning 100) Ducks: Deca (meaning 10) Under : the base Unit (1) Dads: deci (meaning 1/10) Car: centi (meaning 1/100) Motor: milli (meaning 1/1000)
And their symbols/abbreviations…
Name kilo- hecto- deca- No Prefix, unit only
Symbol k h da None
Factor 103 102 101 100
Name deci- centi- milli-
Symbol d c m
Factor 10-1 10-2 10-3
Life examples
Create this chart in your notebook to take up a ½ page.
Kilo-
(k)
(base) milli-
(m)
Gram
(g)
Liter
(L)
Meter
(m)
Fill it out!
Take the next 10 minutes to think of items you could measure using each box! Helpful starters:
1 gram= 1 paperclip 1 liter= 1 bottle of water 1 meter= 1 meter stick
Metric System
The metric system is based on a base unit that corresponds to a certain kind of measurement
Length = meter Volume = liter Weight (Mass) = gram
Metric System
Prefixes plus base units make up the metric system Example:
Centi + meter = Centimeter Kilo + liter = Kiloliter
Metric System The three prefixes that we will use the
most are: kilo centi milli
kilo hecto deca
Base Units
meter
gram
liter
deci centi milli
Metric System So if you needed to measure length you
would choose meter as your base unit Length of a tree branch
1.5 meters Length of a room
5 meters Length of a ball of twine stretched out
25 meters
Metric System But what if you need to measure a longer
distance, like from your house to school? Let’s say you live approximately 10 miles from
school 10 miles = 16093 meters
16093 is a big number, but what if you could add a prefix onto the base unit to make it easier to manage:
16093 meters = 16.093 kilometers (or 16.1 if rounded to 1 decimal place)
Metric System These prefixes are based on powers of 10. What
does this mean? From each prefix every “step” is either:
10 times larger or
10 times smaller
For example Centimeters are 10 times larger than millimeters 1 centimeter = 10 millimeters
kilo hecto deca
Base Units
meter
gram
liter
deci centi milli
Metric System
Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length
1 centimeter = 10 millimeters
Example not to scale
1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm
1 cm
40
41
41
40 40
Metric System For each “step” to right,
you are multiplying by 10
For example, let’s go from a base unit to centi
1 liter = 10 deciliters = 100 centiliters
2 grams = 20 decigrams = 200 centigrams
kilo hecto deca
meter
liter
gram
deci centi milli
( 1 x 10 = 10) = (10 x 10 = 100)
(2 x 10 = 20) = (20 x 10 = 200)
Metric System An easy way to move within the metric system is by
moving the decimal point one place for each “step” desired
Example: change meters to centimeters
1 meter = 10 decimeters = 100 centimeters
or
1.00 meter = 10.0 decimeters = 100. centimeters
kilo hecto deca
meter
liter
gram
deci centi milli
Metric System Now let’s try our previous example from meters to
kilometers:
16093 meters = 1609.3 decameters = 160.93 hectometers = 16.093 kilometers
So for every “step” from the base unit to kilo, we moved the decimal 1 place to the left (the same direction as in the diagram below)
kilo hecto deca
meter
liter
gram
deci centi milli
Metric System If you move to the left in the diagram, move the
decimal to the left
If you move to the right in the diagram, move the decimal to the right
kilo hecto deca
meter
liter
gram
deci centi milli
Metric System Now let’s start from centimeters and convert to kilometers
400000 centimeters = 4 kilometers
400000 centimeters = 4.00000 kilometers
kilo hecto deca
meter
liter
gram
deci centi milli
Metric System Now let’s start from meters and convert to kilometers
4000 meters = 4 kilometers
kilo hecto deca
meter
liter
gram
deci centi milli
kilo hecto deca
meter
liter
gram
deci centi milli
• Now let’s start from centimeters and convert to meters
4000 centimeters = 40 meters
Metric System Now let’s start from meters and convert to centimeters
5 meters = 500 centimeters
kilo hecto deca
meter
liter
gram
deci centi milli
kilo hecto deca
meter
liter
gram
deci centi milli
• Now let’s start from kilometers and convert to meters
.3 kilometers = 300 meters
Metric System Now let’s start from kilometers and convert to
millimeters
4 kilometers = 4000000 millimetersor
4 kilometers = 40 hectometers = 400 decameters = 4000 meters = 40000 decimeters = 400000 centimeters = 4000000 millimeters
kilo hecto deca
meter
liter
gram
deci centi milli
Metric AbbreviationsUnit Abbreviation Number
kilo k 1,000
hecto h 100
deka/deca da 10
Single None 1
deci d 0.1
centi c 0.01
milli m 0.001
Metric System Summary
Base units in the metric system are meter, liter, gram
Metric system is based on powers of 10 For conversions within the metric system, each
“step” is 1 decimal place to the right or left Using the diagram below, converting to the right,
moves the decimal to the right and vice versa
kilo hecto deca
meter
liter
gram
deci centi milli
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