The Metric System. All our measurements will be done using the metric system. Some are familiar to you, some are not. Large bottles of soda Large containers of milk Speed limits Distances from city to city. Type of measurement Basic Unit Length meter Mass gram Time second
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Some are familiar to you, some are not.
Large bottles of soda
Large containers of milk
Distances from city to city
Type of measurementBasic Unit
Notice that basic units don’t have any prefixes.
What if you wanted to measure the width of your finger? What measuring device would you use?
A ruler, of course. Would you report the width as a part of a meter? (That’s the basic unit of length.)
A smaller unit would be more convenient—like what?
How about a What measuring device would you use?centimeter? It’s about as big as the width of your finger. There are 100 of them in a meter.
One hundred cents in a dollar.
One hundred years in a century.
Do you see the pattern?
This method will work for any metric to metric conversion, either bigger unit to smaller or smaller to bigger.
METRIC PREFIXES meters (m)?
kilo = K centi = c milli = m
Prefix Basic new unit
Kilo gram Kg
centi gram cg
milli gram mg
Kilo meter Km
centi meter cm
milli meter mm
First one is for …
Second one is for …
The first letter is always the prefix.
The second letter is always the basic unit.
So, to convert from one prefix to another, you need to multiply by factors of 10 or divide by factors of 10.
Put the prefixes in order: “m” in mm.
Unit can be any basic unit:like meter, gram, liter
This pneumonic device may help you: “m” in mm.
King KiloHenry Hecto Died Deka Unexpectedly Basic Unit drinking deci chocolate centi milk milli
There are more, but these are the ones that concern us.
Steps to convert one metric unit to another: “m” in mm.
Example: “m” in mm.
Convert 3.14 mm to cm
K H D u d c mFind m for milli; find c for centi; note that you need to move one space to the left.Move decimal point one space to the left.3.14 mm = 0.314 cm
2. How many Kg are the same as 368 g?
3. Convert 0.34 cm to m.
4. Convert 2 km to mm.
K H D u d c m