Scientific Notation

As many of you may know in scientific documents, research, and problems some numbers are really big or small to write it in its full form. To avoid mistakes and make it uncomplicated to write such numbers, scientific notation is used. In scientific notation numbers are written in the form, , in which b is an integer and a is any real number. Exponent b is the number of places the decimal should be moved, to the right for a positive value of b and to the left for a negative value of b. Remember not to write leading or trailing zeros for a. Here are few examples: 46600000 = 4.66 x 10^{7 ;} 0.00053 = 5.3 x 10^{-4 ;} 7354 = 7.354 x 10^{3 ;} 0.053 = 5.3 x 10^-2

Here are some practice problems:

5.2 x 10³

1.2 x 10^-3