8.4 Scientific Notation

Scientific notation is used to write very large and very small numbers in powers of 10.

Decimal formPower of 10Name 1,000,000, one billion 1,000, one million 1, one thousand one hundred ten one one tenth one hundredth one thousandth

Form: c  10 n where c is a number > 1 and <10 Change decimals to scientific notation: 93,000,   10 -6

Scientific Notation to decimal form: 2.83   ,

Multiplying Scientific notation: (3.2  10 6 ) ( 4.2  10 4 ) 3.2  4.2  10 6    Combine like terms Multiply numbers and add exponents Pull out another positive power of 10, so = !

Dividing with scientific notation: 4.5    (-4).5   Divide numbers Subtract exponents Simplify. or