Scientific Notation

Positive Exponents  10 1 = 10  10 2 = 10X10= 100  10 3 = 10X10X10 = 1000  10 4 = 10X10X10X10 = 10,000

Negative Exponents  = 1/10 = 0.1  = 1/100 = 0.01  = 1/1000 =  = 1/10000 =

Scientific Notation  We use the idea of exponents to make it easier to work with large and small numbers.  10,000 = 1 X 10 4  250,000 = 2.5 X 10 5  Count places to the left until there is one number to the left of the decimal point.  230,000 = ?  35,000 = ?

Scientific Notation Continued  = 6 X  = 4.5 X  Count places to the right until there is one number to the left of the decimal point  = ?  = ?

Multiplying with Scientific Notation  Add the Exponents  10 2 X 10 3 = 10 5  100 X 1000 = 100,000

Multiplying with Scientific Notation (2.3 X 10 2 )(3.3 X 10 3 )  230 X 3300  Multiply the Coefficients  2.3 X 3.3 = 7.59  Add the Exponents  10 2 X 10 3 = 10 5  7.59 X 10 5  759,000

Multiplying with Scientific Notation  (4.6 X 10 4 ) X (5.5 X 10 3 ) = ?  (3.1 X 10 3 ) X (4.2 X 10 5 ) = ?

Dividing with Scientific Notation  Subtract the Exponents  10 4 /10 3 = 10 1  10000X 1000 = 10

Dividing with Scientific Notation  (3.3 X 10 4 )/ (2.3 X 10 2 )  / 230 =  Divide the Coefficients  3.3/ 2.3 =  Subtract the Exponents  10 4 / 10 2 = 10 2  X 10 2 

Dividing with Scientific Notation  (4.6 X 10 4 ) / (5.5 X 10 3 ) = ?  (3.1 X 10 3 ) / (4.2 X 10 5 ) = ?