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Section IV. Scientific Notation
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Laboratory Mathematics
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Decimal Movement.

b. Multiplication.
xaxb = xa+b
Example.
2322 = 23+2 = 25 = 2 X 2 X 2 X 2 X 2 = 32
c. Division.
xa
---- = xa-b
xb
Example.
24
---- = 24-2 = 22 = 2 X 2 = 4
22
d. Exponential Expressions Raised to a Power.
(xa)b = xab
Example.
(22)3 = 2(2)(3) = 26 = 2 X 2 X 2 X 2 X 2 X 2 = 64
1-21. EXPRESSING NUMBERS IN TERMS OF SCIENTIFIC NOTATION
a. Division. Scientific notation uses the exponential method of expressing very
large and very small numbers in terms of an exponential expression. Utilizing this
method, numbers are expressed as a product of two numbers. The first number is
called the digit term and is a number greater than or equal to one but less than ten. The
second number of the product is called the exponential term and is written as a power of
ten.
MD0837
1-18

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