Scientific Notation Scientific notation is simply a method for expressing, and working with, very large or very small numbers. Short hand method 5.2 x 10 8

Scientific Notation This is the scientific notation for the standard number, Now look at the number again, with the three parts labeled x 10 5 coefficient base exponent

Scientific Notation In order for a number to be in correct scientific notation, the following conditions must be true: 1. The coefficient must be greater than or equal to 1 and less than The base must be The exponent must show the number of decimal places that the decimal needs to be moved to change the number to scientific notation. A negative exponent means that the decimal is moved to the right when changing from standard notation to scientific notation.

Scientific Notation Ex.1 Change to scientific notation Remember, the decimal is at the end of the final zero. The decimal must be moved behind the five to ensure that the coefficient is less than 10, but greater than or equal to one. The coefficient will then read The decimal will move 10 places to the left, making the exponent equal to 10. Answer equals x 10 10

Scientific Notation Ex.2 Change to scientific notation The decimal must be moved behind the 9 to ensure a proper coefficient. The coefficient will be 9.02 The decimal moves seven spaces to the right, making the exponent -7 Answer equals 9.02 x 10 -7

Practice Change the following numbers to scientific notation

Practice Change the following numbers back to standard numbers x x x x 10 -4