Unformatted text preview: re written in a form known as scientific or exponential notation. Very large or very
small numbers are expressed as N × 10 n , where N is a number between 1 and 10 and n corresponds to the
exponents 1, 2, 3, etc. Recall that the exponent tells you how many times to multiply the number 10 by itself.
Therefore:
103 = 10 × 10 × 10 = 1000
102 = 10 × 10
= 100
101 = 1 0
= 10
100
=1
To write the number 5000 in exponential notation, we could rewrite it as 5 × 1000. But 1000 can be written
10 × 10 × 10, or just 103 . Therefore, 5000 can be written as 5 × 10 3 .
More simply, to find the exponent of 10, just count the number of places that the decimal point must be
moved to the left to give the number N. For the number 5000, moving the decimal point three places to the left
gives 5 × 10 3 .
Fractional numbers can also be expressed in scientific notation, but in this case the decimal point will be
moved to the right and the exponent will be a negative number (–n). For the number 0.05, the deci...
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This note was uploaded on 09/15/2009 for the course CHEM 102 taught by Professor Bastos during the Spring '08 term at Adelphi.
 Spring '08
 BASTOS
 pH

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