Monday, September 29, 2008

Exponents and scientific notation

SCIENTIFIC NOTATION
To do scientific notation you have to make a decimal into a regular number by counting the number of zeros in the number and moving the decimal that many spaces. It should end up at behind the first in the number. You know how many spaces also by looking at the exponent.
EX. 5.43x ten to the third power =5,430
EXPONENTS
The base is the number that you multiply however many times the exponent wants you to and the exponent is the number that is how many times you are going to multiply the base.

EX. 4 to the third power or (4x4x4)=64


Exponents
Before we dive into simplifying exponents, let's take some time to learn exactly what an exponent is. An exponent is a superscript, or small number written at the top right corner of a number, variable, or set of parentheses. An example of one is shown below.
23
This tells you to multiply 1 by the number as many times as the exponent says. The example above is 2 raised to the third power (raised to the third power means the exponent is 3). This is equivalent to the multiplication problem below, because there is a 1 multiplied by 2 three times.
1 * 2 * 2 * 28
As you can see, the 1 * 2 * 2 * 2 can be simplified to 8 which is the answer to the problem.(http://www.algebrahelp.com/lessons/simplifying/numberexp/)