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must be moved two places to the right to give N (a number between 1 and 10). In exponential notation 0.05
becomes 5 × 10 –2 .
Multiplication and division of numbers that are expressed in exponential notation are accomplished by
operating on the coefficients (N) and exponentials (n) separately. Recall when multiplying two exponential
numbers that the exponents are added. See Example 1.8. When dividing exponential numbers, we subtract the
exponent in the denominator from the exponent in the numerator, as shown in Example 1.9. These examples
also show how to do calculations using a calculator.
In some calculations you must take the square or cube root of an exponential number. The general rule
(Xa)n = Xan Back Forward Main Menu TOC Study Guide TOC Textbook Website MHHE Website Chemistry: The Study of Change / 9
where n is 1/2 for the square root, 1/3 for the cube root, and so on. Therefore,
9.0 × 1 0 –16 = (9.0 × 10 –16 )1/2 = (9.0)1/2 × 10 –16/2
Taking the square root...
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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