The chart below defines how placing a prefix in front of a
basic unit changes the item being measured.
Facts that can be gleaned from this chart:
·
A kilometer is one thousand meters.
·
A milliliter is one thousandth of a liter
·
A dekagram is ten grams.
·
A hectometer is one hundred kilometers.
Prefix

Comparison to Basic Unit

Kilo

1,000

Hecto

100

Deka

10

Basic
Unit
(Meter,
Liter, or Gram)

1

Deci

1/10

Centi

1/100

Milli

1/1,000

Use this chart to solve the following problems:
How many milliliters are in 3.2 hectoliters?
How many centimeters are in a kilometer?
What is the name of the track event that consists of running
one kilometer and 500 meters?
A box has 1 kilogram of a substance. One person takes 2 hectograms. A second person takes 4 dekagrams. How much of the substance is left?
A box has 10 dekagrams of a substance. Factory workers will put the substance in boxes
that hold 5 decimeters? How many boxes
can the factory workers fill with the available material if there is no spillage?
Answers:
How many millimeters are in 3.2 hectoliters?
·
A liter has 1,000 thousand milliliters. A hectoliter has 100 liters. There are 100,000 (1,000x100) milliliters in
a hectoliter. 3.2 hectoliters is the same
as 320,000 milliliters (100,000 x 3.2).
How many centimeters in a kilometer?
·
There are 100 centimeters in a meter and 1,000
meters in a kilometer. Multiply and get
100,000 centimeters in a kilometer.
What is the name of the track event that consists of running
one kilometer and 500 meters?
·
A kilometer is 1,000 meters. 1,000 meters plus 500 meters is 1500
meters. The event is called the fifteen
hundred.
A box has 1 kilogram of a substance. One person takes 2 hectograms. A second person takes 4 dekagrams. How much of the substance is left?
·
One kilogram is 1,000 grams. Two hectograms weigh
200 grams. 4 dekagrams is 40 grams. The box with (100020040) grams weighs 760
grams.
A box has 10 dekagrams of a substance. Factory workers will put the substance in boxes
that hold 5 decimeters? How many boxes
can the factory workers fill with the available material if there is no
spillage?
·
10 dekagrams is 100 grams. 5 decimeters is 0.5 grams. The workers can fill 200 boxes.
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