Measurement Examples And Worksheet - A-64 Appendix 5 Page 20
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36A-82
Appendix V Measurement
The weight of an object is determined by the Earth’s gravitational pull on the
object. Since gravitational pull on an object decreases as the object gets farther from
Earth, the object weighs less as it gets farther from Earth’s surface. This is why
astronauts experience weightlessness in space. However, since most of us remain near
Earth’s surface, we will use the words mass and weight interchangeably. Thus, a mass
of 30 grams is said to weigh 30 grams.
Metric units of mass are related as shown in the following table.
Metric Units of Mass
1 kilogram (kg)
1,000 grams
1 gram
10 decigrams (dg)
1 hectogram (hg)
100 grams
1 gram
100 centigrams (cg)
1 dekagram (dag)
10 grams
1 gram
1,000 milligrams (mg)
The abbreviation for each unit is written within parentheses.
We can use the information in the table to write unit conversion factors that can
be used to convert metric units of mass. For example, in the table we see that
1 kilogram
1,000 grams
From this fact, we can write two unit conversion factors.
To obtain the first unit conversion
factor, divide both sides of the equation
1 kg
1,000 g
1
and
1
1 kg
1,000 g by 1,000 g. To obtain the
1,000 g
1 kg
second unit conversion factor, divide both
sides by 1 kg.
Convert from one metric unit of mass to another.
6
Self Check 6
6
EXAMPLE
Convert 7.86 kilograms to grams.
Convert 5.83 kilograms to
Strategy
On a conversion chart, we will count the places and note the direction
grams.
as we move from the original units of kilograms to the conversion units of grams.
Now Try
Problem 43
WHY
The decimal point in 7.86 must be moved the same number of places and in
that same direction to find the conversion to grams.
Solution
To construct a conversion chart, we list the metric units of mass from largest
(kilograms) to smallest (milligrams), working from left to right. Then we locate the
original units of kilograms and move to the conversion units of grams, as shown
below.
kg
hg
dag
g
dg
cg
mg
largest unit
smallest unit
3 places to the right
We see that the decimal point in 7.86 should be moved 3 places to the right to
change kilograms to grams.
7.86 kilograms
7 860. grams
7,860 grams
Move 3 places to the right.
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