The term exponential notation can also refer to a format for writing very large and very small numbers in a compact form. More commonly referred to as scientific notation
, the format is a x 10b where a is a real number between -10 and +10; and b is an integer. The value of a is "normalized" to lie within +10 and -10 by adjusting the exponent b. A very small number such as 0.000000352 can be expressed as 3.52 X 10-8, and a very large number such as 476,000,000,000 can be written as 4.76 X 1011. This can be very handy when writing about the US Current Account Deficit!
A variation of this is called engineering notation. Instead of "normalizing" a to lie between -10 and +10, it is allowed to range between -1000 and +1000, so that the exponent b is restricted to integers.....