Back to Module 1 Notes
Module 1 – section 2
Standard Form: The regular method of
writing any number
Exponential Form: A method of writing a number using exponents. The exponent tells how many times you multiply a number (base) by itself
(base) 34 (exponent)
Exponent: the raised number: in the above example it is the 4. It can also be referred to as a power of the base number. Three to the fourth power.
Base: The larger bottom number: in the above example it is the 3.
34 means multiply three by itself, four times. 3·3·3·3 = 81
34 is the exponential form. 81 is the standard form.
When using exponents in patterns we also use a term table to predict the pattern. If you notice that the pattern does not increase by a constant number you are most likely dealing with an exponent. See the term table below for an example:
By looking at the pattern above, you can
see that the difference between terms changes, so you are most likely
dealing with and exponent. I notice that if I keep 3 as the base and use
the term number as the exponent I get the term.
In this case the base is the term number
or variable and the exponent is always 2.