Scientific Notation Very large numbers and very small numbers are written in scientific notation.

Scientific Notation Scientific Notation Numbers written in scientific notation consist of two parts: a number between 1 & 10 and ten raised to a power e.g. 5 x 102

Number Scientific Notation 1 000 100 10 1 0.1 0.01 0.001 1x103 1x102 1x101 1x100 1x10-1 1x10-2 1x10-3

Change to Scientific Notation Procedure: Move decimal point until the value of number is between 1 & 10 Multiply by 10 raised to a power = # of places decimal was moved If original # = a decimal then exponent is negative. Ex.: Convert 1234.56 to scientific notation. First, change 1234.56 to 1.23456. To get there, we moved three to the left, so the power of ten will be 3. 1.23456 x 10 3 Ex. Change 0.003456 to scientific notation. 3.456 x 10 -3

Change 2x103 to a regular number: 103 = 10 x 10 x 10 = 1000 1000 x 2 = 2000 2 x 103 = 2000

Change to Scientific Notation Change to a regular number 40 4004 0.4 0.0404 6.1 x 102 6.01 x 103 6.0 x 10-2