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SI
Overview |
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In order to understand SI, one needs to:
- Know the basic units. These are the meter, kilogram, Celsius and second.
One should also be familiar with the litre.
- Be able to use prefixes to describe bigger and smaller amounts.
- Be able to do calculations in SI.
- If one is living the the USA (the only major country not to switch to
SI), then one will also need to be able to convert between the USA
measurement system and SI.
This page covers the first of these three topics. The fourth is covered on a
separate page.
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Basic
Units |
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The meter is a measure of length. It is slightly over 39 inches, which is to
say that it is slightly over a yard. One can write 'm' instead of 'meters'; for
example one could say '8 meters' or '8 m'.
The kilogram is used as a measure of weight. You may hear that it is actually
a measure of 'mass' rather than 'weight'; this is a topic for older students (it
is discussed in the teacher notes page). On these pages, we will use it as a
measure of 'weight'. A kilogram is equal to approximately 2.2 pounds. One can
write 'kg' instead of 'kilogram'; for example one could say '8 kilograms' or '8
kg'.
Temperature is measured in degrees Celsius. The freezing point of water is
equal to zero degrees in the Celsius system (written as 0°C),
which is equal to 32°F. The boiling point of water is equal
to 100 degrees in the Celsius system (written as 100°C),
which is equal to 212°F. Room temperature is
approximately 21°C or 70°F.
The unit of time is the second, which you are already
familiar with.
In the USA system, volume can be measured in cups, quarts,
gallons, and so on. In the SI, volume is measured in liters. One can
write 'l' instead of 'liter'; for example one could say '8 liters' or '8 l'.
In some countries the unit of
length is spelled "meter", while in others it is spelled "metre". Likewise the
unit of volume may be spelled "liter" or "litre".
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Metric
Prefixes |
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In the metric system, the units of measurement (see above) are
multiplied by 10 or divided by 10 in order to produce larger or smaller units;
this is indicated by using a prefix.
For example, a decimeter is a tenth of a meter and a dekameter is 10 meters. For even larger or smaller units, one continues to divide or multiple by 10. For
example, one can either say '1000 meters' or one can say 'a kilometer', as kilo
means '1000' (which is 10 * 10 *10). The following table lists all of the
prefixes.
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Multiplication factor
(scientific notation) |
Prefix
|
Symbol |
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(1024) |
yotta |
Y |
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(1021) |
zetta |
Z |
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(1018) |
exa |
E |
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(1015) |
peta |
P |
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(1012) |
tera |
T |
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1 000 000 000 (109) |
giga |
G |
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1 000 000 (106) |
mega |
M |
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1000 (103) |
kilo |
k |
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100 (102) |
hecto |
h |
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10 (101) |
deka |
da |
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0.1 (10-1) |
deci |
d |
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0.01 (10-2) |
centi |
c |
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0.001 (10-3) |
milli |
m |
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0.000 001 (10-6) |
micro |
µ |
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0.000 000 001 (10-9) |
nano |
n |
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(10-12) |
pico |
p |
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(10-15) |
femto |
f |
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(10-18) |
atto |
a |
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(10-21) |
zepto |
z |
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(10-24) |
yocto |
y |
Many of these prefixs are not in common usage and
consequently may not be understood by everyone. For example, most people
will say '10 meters' rather than '1 dekameter'. Both are correct, but the former
is much more frequently used and understood. Consequently, if you memorise the
most common prefixes (micro, milli, centi, kilo, mega) you will probably find
that you seldom need to use or remember the other ones.
The fact that all units are multiples or divisions of 10 greatly simplifies
calculations and is a major reason that the metric system has
been so widely adopted. A simple illustration of this is to first measure a room
in yards and inches and calculate the amount of required carpet in square
yards, then repeat the measurement in meters and centimeters and calculate the
amount of carpet in square meters. The latter calculation is far quicker and
simpler.
One can either use a prefix combined with the measurement
(e.g. kilometer) or the multiplication symbol combined with the measurement
symbol (e.g. km). Combining a symbol with a non-symbol (e.g. kmeter or kilom) is
not done.
For a list of some of the common measures and prefixes, click on
Table of
Metric and Imperial units.
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Notable
Measures |
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Quantity |
In metric |
Imperial or USA |
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Freezing point of water |
0°C |
32°F |
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Boiling point of water |
100°C |
212°F |
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Healthy temperature of a person |
37°C |
98.6°F |
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Density of water |
1 kg/l |
10 pounds/Imperial gallon
8.35 pounds/USA gallon |
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Speed of light |
300 000 km/s |
186 000 miles/s |
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Speed of sound |
330 m/s |
1090 feet/s |
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Circumference of Earth |
40 000 km |
25 000 miles |
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Distance between earth and sun |
150 000 000 km |
93 000 000 miles |
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Distance between earth and moon |
385 000 km |
240 000 miles |
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Altitude of geostationary orbit |
35 800 km |
22 300 miles |
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Earth's gravity |
10 m/s2 |
32 feet/s2 |
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