Module 1 - Introduction to Matter, Energy, and Direct Current Navy
Electricity and Electronics Training Series (NEETS) Chapter 3:
Pages AII-1 through AII-3

The International Symbols Committee has adopted prefixes for denoting decimal
multiples of units. The National Bureau of Standards has followed the recommendations of this committee, and has
adopted the following list of prefixes:

Numbers

Powers of ten

Prefixes

Symbols

1,000,000,000,000

10^{12}

tera

T

1,000,000,000

10^{9}

giga

G

1,000,000

10^{6}

mega

M

1,000

10^{3}

kilo

k

100

10^{2}

hecto

h

10

10

deka

da

.1

10^{-1}

deci

d

.01

10^{-2}

centi

c

.001

10^{-3}

milli

m

.000001

10^{-6}

micro

u

.000000001

10^{-9}

nano

n

.000000000001

10^{-12}

Pico

p

.000000000000001

10^{-15}

femto

F

.000000000000000001

10^{-18}

atto

a

To multiply like (with same base) exponential quantities, add the exponents. In the language of
algebra the rule is a^{m} x a^{n} = a^{m+n}

AII-1

To divide exponential quantities, subtract the exponents. In the language of algebra the rule is

*Generally used with electrical quantities.

To raise an exponential quantity to a power, multiply the exponents. In the language of algebra (x^{m})^{n}
= x^{mn}.

Any number (except zero) raised to the zero power is one. In the language of algebra xO = 1

Any base with a negative exponent is equal to 1 divided by the base with an equal positive
exponent. In the language of algebra x^{-a} = 1/x^{a}

To raise a product to a power, raise each factor of the product to that power.

AII-2

To find the nth root of an exponential quantity, divide the exponent by the index of the root. Thus,
the nth root of am = a^{m/n}.

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