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Unit One: Basic Principles
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Chapter 1: Measurement and Quantities
Chapter 1.5: Prefixes and Equalities
Prefixes

Prefix
part of the name added to a metric unit to specify the order of magnitude (size)

Prefixes that INCREASE size
 
kilo- k Thousand 1,000 103
mega- M Million 1,000,000 106
giga- G Billion 1,000,000,000 109
tera- Trillion 1,000,000,000,000 1012

Prefixes that DECREASE size
 
deci- d tenths 0.1 10-1
centi- c hundredths 0.01 10-2
milli- m thousandths 0.001 10-3
micro- µ millionths 0.000 001 10-6
nano- n billionths 0.000 000 001 10-9
pico- p trillionths 0.000 000 000 001 10-12

Examples:

1 kilometer is 1,000 meters

100 centimeters is 1 meter 


Equalities and Conversions

Equalities
the relationship between two units that measure the same quantity

Examples:
 
1 m
=
10 dm
=
100 cm
=
1,000 mm
=
1,000,000 µm
1 Tg = 1 x 1012 g
1 GL = 1 x 109 L
1 Ms = 1 x 106 s
1 kK = 1 x 103 K
1 Tm
=
103 Gm
=
106 Mm
=
109 km
=
1012m

Conversions

Conversions for length between the US and metric (SI) system:

2.54 cm = 1 in
1 m = 39.4 in
1 km = 0.621 mi

Conversions for volume between the US and metric (SI) system:

1 L = 1.06 qt
1 qt = 946 mL

Conversions for mass between the US and metric (SI) system:

1 kg = 2.20 lbs
1 lb = 454 g

How are prefixes used for metric units?
 
Practice Problems
Answer the following questions:
1. State the correct prefix:
.
a)  1,000 grams = 1 _____gram b)  0.01 meter = 1 _____meter
c)  1 x 106 liter = 1 _____liter d)  One billion grams = 1 _____gram
e)  One billionth of a second = 1 _____second
f)  1 x 10–12 grams = 1 _____gram g)  1012 liters = 1 _____liter
.

Sources: CHEMISTRY - an Introduction to General, Organic, & Biological Chemistry, Prentice Hall CHEMISTRY, Modern CHEMISTRY, CHEMISTRY - the Central Science, and Principles & Applications of CHEMISTRY
Donaghe's Science
Donaghe's CHEMISTRY - Matter and Reactions
Unit One: Basic Principles
Chapter 1: Measurement and Quantities
Chapter 1.1: Units of Measurement
Chapter 1.2: Scientific Notation
Chapter 1.3: Measured Numbers and Significant Figures
Chapter 1.4: Significant Figures in Calculations
Chapter 1.5: Prefixes and Equalities
Standards, Objectives, and Vocabulary
 
Unit One: Basic Principles
Unit Two: Matter and Energy
Unit Three: Elements and Atoms
Unit Four: Compounds and Bonds
Unit Five: Reactions and Relationships
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Chapter 1.5:
Prefixes & Equalities
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Chapter 1.4:
Significant Figures
in Calculations